Dujella (2001)
y2 + xy + y = x3 - x2 - 41368267697099x + 102411668493915101147 Torsion points: O, [4139439, -1450978598], [3716955, -16222934], [125841, 9859340566], [125841, -9859466408], [3716955, 12505978], [4139439, 1446839158], [3673027, -136629582], [3673027, 132956554] Independent points of infinite order: P1 = [3025089, 2223808552] P2 = [3729331, 51928842] P3 = [-2838653, -14033112846]
MacLeod (2004)
y2 + xy = x3 - 8474716297178877x + 301161814193541330007281 Torsion points: O, [54971430, 37527848871], [54971430, -37582820301] [97121076, 627791491455], [97121076, -627888612531] [44033514, 115602693279], [44033514, -115646726793] [-48061038, 772973605455], [-48061038, -772925544417] Independent points of infinite order: P1 = [48324174, 66878807739] P2 = [-28998456, 722877139959] P3 = [56476542, 51708701655]
MacLeod (2004)
y2 + xy = x3 - 266439437015692920x + 52937734034316909274523712 Torsion points: O, [299767944, 71440300848], [299767944, -71740068792] [388314864, 2833307282568], [388314864, -2833695597432] [-117667536, 9091803588168], [-117667536, -9091685920632] [284826864, 394302098568], [284826864, -394586925432] Independent points of infinite order: P1 = [34127184, 6624532209288] P2 = [-41137698, 7989314741940] P3 = [136178364, 4379408300568]
Eroshkin (2006)
y2 + xy = x3 - 146942284829128414437x + 685550722977646815589024721409 Torsion points: O, [9320725554, -354530634917529], [7065700782, -7035827601873], [26358690498, 3889183445544327], [26358690498, -3889209804234825], [7065700782, 7028761901091], [9320725554, 354521314191975], [7359613170, 52319779154727], [7359613170, -52327138767897] Independent points of infinite order: P1 = [6892237338, 13821416904687] P2 = [7199027430, 28385662942203] P3 = [8536669710, 230778029410287]
Eroshkin - Dujella (2007)
y2 + xy = x3 - 45537718416564775527x + 118466673743669180600288571849 Torsion points: O, [6668767728, 333707218157565], [3999585114, 17740057042701], [-3222909018, 481409735328837], [3999585114, -17744056627815], [6668767728, -333713886925293], [-3222909018, -481406512419819], [3344642910, -59789381298003], [3344642910, 59786036655093] Independent points of infinite order: P1 = [3659272008, 28815206764365] P2 = [3716972154, 23609390724045] P3 = [-9155761747020/1369, -17827975645783497621/50653]
Eroshkin (2009)
y2 + xy = x3 - 1888354378647802297898219715x + 245047137264557236198562303343041637914817 Torsion points: O, [62396739661074, 608401581036672153213], [260317700712174, 4170609361522189749513], [260317700712174, -4170609621839890461687], [62396739661074, -608401643433411814287], [-60038087407746, -376840410128498410647], [-60038087407746, 376840470166585818393], [1218369110574, 492694867636140952713], [1218369110574, -492694868854510063287] Independent points of infinite order: P1 = [-21952176546426, -525282688894521544287] P2 = [-9491414606226, -511971907561087956087] P3 = [33826260533488413/784, 10841062120907970329503005/21952]
Eroshkin (2009)
y2 + xy = x3 - 1120394540235646336605x + 20279431254320501002290372230577 Torsion points: O, [83608361634, -22606622047015377], [-30047373006, 5178454433221503], [-30047373006, -5178424385848497], [83608361634, 22606538438653743], [25545105894, 2885876195864403], [25545105894, -2885901740970297], [6202880994, 3683530208515503], [6202880994, -3683536411396497] Independent points of infinite order: P1 = [31607576994, 4055064251251503] P2 = [28585928994, 3407485803427503] P3 = [59588810274, 12849326954471343]
Eroshkin (2009)
y2 + xy = x3 - 175119063305608654696002x + 28206363730630407175298748363753924 Torsion points: O, [245834649060, -3601136639616978], [245834649060, 3600890804967918], [242136091428, 360199813578990], [279763585332, 33329560482239406], [279763585332, -33329840245824738], [242136091428, -360441949670418], [659174148864, 446307335391042510], [659174148864, -446307994565191374] Independent points of infinite order: P1 = [243181113252, 1315002813469422] P2 = [-14217656376, -175194948342565074] P3 = [445875470117952/1849, 22371128743527533130/79507]
van Beek (2015)
y2 + xy = x3 - 573307517816083917344340x + 167075794327277663399911932573090192 Torsion points: O, [1543728752424, -1720727975488158612], [563762191824, -151809351700043412], [440358995304, -2710647987862932], [1543728752424, 1720726431759406188], [440358995304, 2710207628867628], [563762191824, 151808787937851588], [455682838824, -21225283500971412], [455682838824, 21224827818132588] Independent points of infinite order: P1 = [155959510824, 285405764690580588] P2 = [-1401858098243856/1681, -17599389554238178723452/68921] P3 = [4043670173485024/9801, 26942785163980552610812/970299]
van Beek (2015)
y2 + xy = x3 - 20720292010739233893383802x + 36302950298543685334430534235913526244 Torsion points: O, [2628135181434, -191811478844580], [1517363104152, -2890728440432015694], [2673605383428, 128218994515341030], [2673605383428, -128221668120724458], [1517363104152, 2890726923068911542], [2628135181434, 189183343663146], [2626349901420, -4837604597836458], [2626349901420, 4834978247935038] Independent points of infinite order: P1 = [-46903846698170/9, -44704844132533389266/27] P2 = [2941305718812, 896823085619174166] P3 = [308423490629187/4, 5407297836439220108511/8]
van Beek (2015)
y2 + xy = x3 - 32174355462579650355x + 416162791151353397699582660577 Torsion points: O, [-7314925506, -510003971822247], [30463417404, 5263697953455963], [7403909394, 764073095956653], [7403909394, -764080499866047], [30463417404, -5263728416873367], [-7314925506, 510011286747753], [208975494, -639881550884247], [208975494, 639881341908753] Independent points of infinite order: P1 = [166911654, 640934520337713] P2 = [27386058757386/169, 143234884774188178041/2197] P3 = [67307010402, 17411660303958525]
van Beek (2015)
y2 + xy = x3 - 127315383961088129848470x + 17485155070163945330435232719141412 Torsion points: O, [37061947494, 113214410051151708], [206097616764, 84414785826618], [204758083764, -981124776221382], [204758083764, 980920018137618], [206097616764, -84620883443382], [37061947494, -113214447113099202], [221895342864, 12650810798428218], [221895342864, -12651032693771082] Independent points of infinite order: P1 = [10291765410186/49, 1090296499085007474/343] P2 = [-55979284852881/196, -479609533124397157833/2744] P3 = [7648653205054401024924/24891688441, 337302481673686984286164322772798/3927186577025011]
van Beek (2015)
y2 + xy = x3 + 12759458432333437998x + 14894378294123135181710531844 Torsion points: O, [698129820, 155377882636542], [698129820, -155378580766362], [4122896328, 370918987584030], [18794825802, 2625613077571506], [18794825802, -2625631872397308], [4122896328, -370923110480358], [-860023116, -57313109433330], [-860023116, 57313969456446] Independent points of infinite order: P1 = [12910976424, 1527018386963130] P2 = [146943571912614/34225, 2442559503582664255368/6331625] P3 = [372643046813127/128164, 12696523508868798426999/45882712]
van Beek (2015)
y2 + xy = x3 - 1950873533612743056660x + 33177096191505561806432962227600 Torsion points: O, [37945966170, -3713181131409960], [25853437260, -144071223623460], [-16152189480, -7776493602281460], [37945966170, 3713143185443790], [-16152189480, 7776509754470940], [25853437260, 144045370186200], [23313823920, -605518967501460], [23313823920, 605495653677540] Independent points of infinite order: P1 = [24748026030, 232628604513480] P2 = [6507559170, 4556009858342040] P3 = [-500066052304/25, -1001533122077024684/125]
Voznyy (2021)
y2 + xy = x3 + 360076104022664686158x + 104581132282145825730066906453636
Torsion points:
O, [103294404, -10228310138402946], [103294404, 10228310035108542],
[-37822388220, 6070934631548286], [-37822388220, -6070896809160066],
[222419197872, -105772571340038370], [49735528596, -15668995650529986],
[49735528596, 15668945915001390], [222419197872, 105772348920840498]
Independent points of infinite order:
P1 = [70814012856, 22026885486753150]
P2 = [1308725230726070374597201188/4749802785328969, 47574871977607700855346438361623858833910/327350769948966357993797]
P3 = [1567677137290655089638309856487239173882254244/95958748645311151389155339045063209,
318524504977938747908727258053874810711126811888495046865202461260502/29725342261403051514694893198187455007092880421935573]
Voznyy (2021)
y2 + xy = x3 - 1461055764835991591052x + 27792751576411398242819550412944 Torsion points: O, [-33229250322, 6296949475560930], [28073561352, 2983471201769556], [8077145520, -4064305551050508], [8077145520, 4064297473904988], [28073561352, -2983499275330908], [-33229250322, -6296916246310608], [88072057884, 24130061301466020], [88072057884, -24130149373523904] Independent points of infinite order: P1 = [905006188194/25, 590827032248766912/125] P2 = [4283836168008/121, 6017734641259276332/1331] P3 = [262114670331012918/83521, 134185271883391621596857178/24137569]
Voznyy (2021)
y2 + xy = x3 + 39748989942083054080383x + 320437571818422693478288732687881 Torsion points: O, [71674572714, -59478092607379413], [71674572714, 59478020932806699], [665366442, -18624863027353557], [1137436771146, 1231707731463766635], [258656039850, 167052572568424491], [258656039850, -167052831224464341], [1137436771146, -1231708868900537781], [665366442, 18624862361987115] Independent points of infinite order: P1 = [1934039706052506/25, 85054931000790833765631/125] P2 = [295682381436406614/30217009, 4426976963653605185075371887/166102898473] P3 = [1413044368546244359146/4155478369, 61760011207419415193467963302309/267874602100847]
Voznyy (2021)
y2 + xy = x3 - 9209875547662324528665x + 2457647390078382187970079138274617 Torsion points: O, [134373283674, 60384982970174163], [558735529674, 414415976491610163], [558735529674, -414416535227139837], [134373283674, -60385117343457837], [-130164220326, -38093335493889837], [-130164220326, 38093465658110163], [2891779674, -49305565445889837], [2891779674, 49305562554110163] Independent points of infinite order: P1 = [64142483034, 46160577070149843] P2 = [349134431132424, 6523625063717414207163] P3 = [51378807552186/49, 367126295923149381429/343]
Voznyy (2021)
y2 + xy = x3 - 246002179748666188755180x + 47041323790592076185755880018816400 Torsion points: O, [245241875760, -38223303806998380], [245241875760, 38223058565122620], [294112687260, 11418151519545120], [492433114110, -212866385613656880], [-238519316280, 303558815981182020], [-238519316280, -303558577461865740], [492433114110, 212865893180542770], [294112687260, -11418445632232380] Independent points of infinite order: P1 = [257560376010, 27690699789705120] P2 = [270696669180, 16885010231621700] P3 = [-54726362078640/121, -341381337452948994180/1331]
Voznyy (2021)
y2 + xy = x3 - 313179217832848743857460x + 67605714046108561809139643497494672 Torsion points: O, [571677454824, -274592797609017972], [332898035484, -15527395140149592], [-280184257416, -365182327673756292], [-280184257416, 365182607858013708], [332898035484, 15527062242114108], [571677454824, 274592225931563148], [272555116584, -49942349675954292], [272555116584, 49942077120837708] Independent points of infinite order: P1 = [-80028779916, -303572870455436292] P2 = [256853337414, 64110210572690088] P3 = [1189425356627796858677064/457247792401, 1269369776999003591728411697969350188/309191414469348601]
Voznyy (2021)
y2 + xy = x3 + 365862429516443112636348x + 167047319359955319317745294292041744 Torsion points: O, [62477715720, -436061320277573508], [62477715720, 436061257799857788], [3325322718984, -6176919641100464004], [-292088626872, 187785395124717180], [-292088626872, -187785103036090308], [3325322718984, 6176916315777745020], [719925261552, 896421808132524156], [719925261552, -896422528057785708] Independent points of infinite order: P1 = [3017020615644, 5360318507794548396] P2 = [5043809084844, 11416080061326734760] P3 = [76697887305821155464/668170801, 7925293603367473024534700637660/17271547035049]
Voznyy (2021)
y2 + xy = x3 - 2101183505200365124090440x + 1349089459277370182251969986545366592 Torsion points: O, [382906623624, -775031276534757312], [382906623624, 775030893628133688], [1000458812724, 498315638527449288], [2868175455054, 4349409143980376868], [2868175455054, -4349412012155831922], [1000458812724, -498316638986262012], [-1182586613376, -1476502182649428312], [-1182586613376, 1476503365236041688] Independent points of infinite order: P1 = [897858416364, 431662023354270408] P2 = [124771271924166/169, 983085536879820871476/2197] P3 = [144110962633281/64, 1451296890409581699141/512]
Voznyy (2021)
y2 + xy = x3 - 5148936257257904934593325x + 4474187055847694168028086230211180625 Torsion points: O, [1608276568650, -594279309254775825], [1608276568650, 594277700978207175], [2557276561650, 2833840815458774175], [8883523004550, 25686457153468589175], [8883523004550, -25686466036991593725], [2557276561650, -2833843372735335825], [1403666916180, -111416898197773425], [1403666916180, 111415494530857245] Independent points of infinite order: P1 = [-606873092430, -2715773919430754145] P2 = [3172425422655075/2116, 34357434260080870025925/97336] P3 = [73403717980483050/80089, 16421711183335177914070725/22665187]
Voznyy (2021)
y2 + xy = x3 - 245048275157339471670634782x + 1476470779285903016234897386893504903876
Torsion points:
O, [9173884797924, -708359332122404886], [9173884797924, 708350158237606962],
[9054022971840, 67860220091753166], [10325827231566, 6863834036431555260],
[10325827231566, -6863844362258786826], [9054022971840, -67869274114725006],
[23710053012492, 94843877779705675698], [23710053012492, -94843901489758688190]
Independent points of infinite order:
P1 = [9048243319962, 20967893854108278]
P2 = [582355760885481/64, 162028342080603087903/512]
P3 = [180024329546050595195124813264924282196552206013988373677242074/21036893733692519235690511917561306460545253853449,
239115162172214357717699769124651497364479428509087161578491731525344122712548549873080365490/96487803437485938500096836236922172936635809858417471469979438060408727707]
Voznyy (2021)
y2 + xy = x3 - 346334322188695559442950037x + 2739538428541260415709290699850991518049 Torsion points: O, [5438256358290, -31889154957950437833], [5438256358290, 31889149519694079543], [-14658057416478, 68313376599126908487], [12504893870994, 19080989160755795511], [12504893870994, -19081001665649666505], [-14658057416478, -68313361941069492009], [34081138865298, 174705826988241766455], [34081138865298, -174705861069380631753] Independent points of infinite order: P1 = [1419135281969958/121, 22701043440899798415357/1331] P2 = [-2971222167353790/289, -354741434733482291026329/4913] P3 = [52466702027923778/6241, 10129790833875172284117545/493039]
Voznyy (2021)
y2 + xy = x3 - 3098618601275016324868552497x + 66723756593866225776659844833033392742889 Torsion points: O, [25593483713490, -64681691872347513117], [25593483713490, 64681666278863799627], [-31311377818182, -364757472233836622325], [62669314702764, 344478725635814796411], [33525476255502, 22853969326997340147], [33525476255502, -22854002852473595649], [62669314702764, -344478788305129499175], [-31311377818182, 364757503545214440507] Independent points of infinite order: P1 = [-13491173051532, -325687273238707459893] P2 = [18399279282725847384518178/547065850321, 9513126755269552238393942284573593933/404631238465574119] P3 = [6710544478692274047360329538/190211181973849, 95180174700757863272451877982903761952961/2623336889907007070243]
Voznyy (2021)
y2 + xy + y = x3 - x2 - 24435845741432948779302962x + 133162547276998418710586355148919776049
Torsion points:
O, [387400501657, -11124488007341047329], [387400501657, 11124487619940545671],
[19206182618577, -82149695634428536049], [-5349257898843, 10526613081440435671],
[4972719309807, 11602369546125938671], [4972719309807, -11602374518845248479],
[-5349257898843, -10526607732182536829], [19206182618577, 82149676428245917471]
Independent points of infinite order:
P1 = [-6582284086731, -2969699160597316973]
P2 = [7864268807038137/7921, 7389755649562672605370799/704969]
P3 = [227369791831470442095566451339903473892866748685564070917942952337717/584515803543289487822969357462281371993408221926018081,
3428187412471302077574604072402517416161961132289686250490980371455653615463834110950330592087277702659/
446883568664573931774911922335704777994362527785464006836370832339203259514743729]
Voznyy (2021)
y2 + xy = x3 - 151625601823877229823333230x + 167131929699212017878608262098552106336900
Torsion points:
O, [11463220860, -408815596067032346430], [11463220860, 408815596055569125570],
[-47221187536740, -262671162051911882430], [249320885428860, 3953142941629377765570],
[56783423561340, 584475932651501572290], [56783423561340, -584475989434925133630],
[249320885428860, -3953143190950263194430], [-47221187536740, 262671209273099419170]
Independent points of infinite order:
P1 = [15537813986940, 410520631514687082690]
P2 = [-28779101474340, -384265090419157555230]
P3 = [603625467666804565627090672562605740537114849687942172742033815842709076329393108490467970108010622483219868673688224405101911833002438171489125084431716265809774940/
1016536416059771997356652962596172105526005799269696767887787415473702052822472503902683267684630435916365462579444791889447757864942537626749108568649,
14833077459564505902609140817778354990047594596953081670192852626236467611948830342303532622032067246461373016997804920736015822876218414222989881225502685317224579299929050223346061061307786847855366660764398178423558313246855150903680711457297590/
1024906888103075519919130942388635984191886713027357330895484333756121653899962517062050041079710730950571905780450621866234203956809267063596118679645160138480711289710616349790035017581501808377232434134925246246612966018107]
Dujella - Petricevic - Rathbun (2022)
y2 + xy = x3 - 10329082934691235064547874200284195145x + 12777587360072737082790328936997979680475424864458272025
Torsion points:
O, [1863047008343311290, -23503709553537041267194845], [-551910814087946310, -4279042513661152539329146845],
[2314174546005817050, -1125888883135827003217386045], [2314174546005817050, 1125888880821652457211568995],
[-551910814087946310, 4279042514213063353417093155], [1863047008343311290, 23503707690490032923883555],
[1794066897655029690, -145057607935949362901626845], [1794066897655029690, 145057606141882465246597155]
Independent points of infinite order:
P1 = [14431173481603508891940/7921, 56854239762672892595980899100395/704969]
P2 = [7526403642168149592747493674810/4063864905409, 143485393189936043003397455163347352996693885/8192357454408719327]
P3 = [67893446157649954687381889673290850025920478238207662588946364537785828611813530/23914597360215388698043160733861641984056827660973470685105969,
294361484491790157897395863551082555496593350156537195745154165887797224221980553382044166124876508737110288537724866715/
116948487615454376749469008060505222640054343802440649334943133766672610046862106997767110953]
Voznyy (2022)
y2 + xy = x3 - 9216045195491447966757897x + 10078793163212806704473823191388097689
Torsion points:
O, [18857142972618, -80881012751946544125], [5027882579514, -9531239410951711389],
[2159046646902, -495258267495897153], [2159046646902, 495256108449250251],
[5027882579514, 9531234383069131875], [18857142972618, 80880993894803571507],
[2733696612090, 2305232253101824227], [2733696612090, -2305234986798436317]
Independent points of infinite order:
P1 = [-954112927818, -4243038763257573813]
P2 = [2209739860278, 709773890474786175]
P3 = [10303784089678662357881803218735891600948985117524871224961598215085755131722412376395671166465593568790271974742460797474106/
10907367071246474493617268769245255428062189865959834292365631725731221814030253939672696069929141743287681931329,
1695662843996994562595818766751262238567986508926018888288329005666039381721881854004010250458923023192564058322033750369079008287028126950888628347640854275870400376372113483994212352387/
1139147321620639438876009454754439991317350410304335276645351226547050280719910754447638590608659784481278470065789267783791656744267439661393294747410567750030000786017]
Voznyy (2022)
y2 + xy = x3 + 161810652320599737376488x + 81715085920994787222265841900618304 Torsion points: O, [519483264048, -553138806535374360], [-267942919776, -138284109013883784], [2395903106352, 3771301519694797032], [2395903106352, -3771303915597903384], [-267942919776, 138284376956803560], [519483264048, 553138287052110312], [26028997680, 293162893724662248], [26028997680, -293162919753659928] Independent points of infinite order: P1 = [340433820720, 419827825032915432] P2 = [402729296928, 460651508602630632] P3 = [8994160322740650288/628849, 26984764727893233759295142184/498677257]
Voznyy (2022)
y2 + xy = x3 + 190855141090279069816263x + 13889045139152020868182888999662201 Torsion points: O, [2354888635356, 3677276037726361299], [2354888635356, -3677278392614996655], [525251385630, -508966923117221769], [-49345436598, -65962541325411645], [-49345436598, 65962590670848243], [525251385630, 508966397865836139], [118508066274, 195374620022108547], [118508066274, -195374738530174821] Independent points of infinite order: P1 = [-4747485046, -113942334837408013] P2 = [7994786826, 124158774615065859] P3 = [294809068305570315058282266152610/199466534068334389921, 5288800058456715067849992847059390218934496173291/2817118152993124477466279079281]
Voznyy (2022)
y2 + xy + y = x3 - x2 - 19087477210615182058877x + 1027679757825632786424376239074501 Torsion points: O, [-87023505249, 45052258253587624], [84833121651, 4352484444622024], [84833121651, -4352569277743676], [-87023505249, -45052171230082376], [175671624441, 55640448150872764], [175671624441, -55640623822497206], [58275753751, 10641906540171624], [58275753751, -10641964815925376] Independent points of infinite order: P1 = [58132474192071/121, 426645781765500779144/1331] P2 = [1872266291465169/24025, 13666139187536795916212/3723875] P3 = [-12110889049922995905129/704993650321, -21753361937966974119221011949956144/591940163561874119]
Voznyy (2022)
y2 + xy = x3 - 1533851310369412801299162x + 984118064176681311013065897042500964 Torsion points: O, [927017833812, -599045123170056234], [-1094377870152, -1162769935695832590], [2972767702884, 4764000674844990726], [2972767702884, -4764003647612693610], [-1094377870152, 1162771030073702742], [927017833812, 599044196152222422], [245133811860, 789208012194196182], [245133811860, -789208257328008042] Independent points of infinite order: P1 = [-811218226476, -1301753703494404650] P2 = [39569253880148, 248786825799381853910] P3 = [419020598904793397018009286/203344605411025, 7434364538715006486975272802063195960624/2899672721977648342375]
Voznyy (2022)
y2 + xy = x3 - 18304382938331816077860927x + 30142997712132868630199213863075512729
Torsion points:
O, [2478706152678, -30701710159326675], [-640784860506, -6450508152597550419],
[3032826266862, 1589031834368840757], [3032826266862, -1589034867195107619],
[-640784860506, 6450508793382410925], [2478706152678, 30699231453173997],
[2397304822950, 198220481789516973], [2397304822950, -198222879094339923]
Independent points of infinite order:
P1 = [2439665719974, 85066056150825645]
P2 = [1453411988238, 2570871675618260637]
P3 = [5867184968429979147621690771094734633/2254392913729280486215936,
1233060791422112807561244354939466879142679311256674925/3384888878744915512019453366271709184]
Voznyy (2022)
y2 + xy = x3 - 18547485072844241697778725x + 30879222632683052965700795531460515457 Torsion points: O, [2587493064054, -459687204534485877], [-2376905274846, -7844492846760197577], [4764190797264, 7116931791454617183], [4764190797264, -7116936555645414447], [-2376905274846, 7844495223665472423], [2587493064054, 459684617041421823], [2002227626154, 1330298560251318423], [2002227626154, -1330300562478944577] Independent points of infinite order: P1 = [990268668144, 3671963348849228913] P2 = [1435270619604, 2686115852870329623] P3 = [2502961325994, 369018341696311743]
Voznyy (2022)
y2 + xy = x3 - 20046678632052943778384850x + 34546934262127429927822826301736522500
Torsion points:
O, [7492893686100, -17464718113605914850], [3060561989700, -1364273226432914850],
[2592704755080, -16806494291310630], [2592704755080, 16803901586555550],
[3060561989700, 1364270165870925150], [7492893686100, 17464710620712228750],
[2641596941700, 157617310427085150], [2641596941700, -157619952024026850]
Independent points of infinite order:
P1 = [11514927520800, 36476234011052374050]
P2 = [9861440998212900/1369, 822886386444852076419750/50653]
P3 = [92297369039819699794599380365303500/35786708934960828343849,
64829891934337687031751478262899954688319272873550/6769906047230678523738212500044757]
Voznyy (2022)
y2 + xy = x3 - 44823106033691961612323232x + 119442942030181106433777219139112838144 Torsion points: O, [4245665113872, -2381180888132727408], [-4715550770112, -15031684545473520288], [9961086268224, 25716281024932898400], [9961086268224, -25716290986019166624], [-4715550770112, 15031689261024290400], [4245665113872, 2381176642467613536], [2462769840960, 4898082767656392288], [2462769840960, -4898085230426233248] Independent points of infinite order: P1 = [3527434289738461284/126025, 6451281967081489195559730192/44738875] P2 = [505280252034306295092/2627641, 11351120688938293839272423094732/4259406061] P3 = [1392272007314696837604288/971506561, 1642787542948934157700185623935778400/30280887999809]
Voznyy (2022)
y2 + xy = x3 - 51385983149969096332617342x + 175551665364674296217019901047736139076 Torsion points: O, [15722088413070, -57043030262329912554], [-6108437534004, 16171445421084668130], [-6108437534004, -16171439312647134126], [15722088413070, 57043014540241499484], [5152557750912, 6897599147130800238], [5152557750912, -6897604299688551150], [1634092149924, 9795185752771654794], [1634092149924, -9795187386863804718] Independent points of infinite order: P1 = [522925456110290381304/133518025, 9045266017570338713045978412882/1542800778875] P2 = [7180732943272425968406/1649903161, 392767066822254656204878761266370/67017416496659] P3 = [981468764970942870554166/106223194561, 766012997629297669263201286231911660/34620157348126559]
Voznyy (2022)
y2 + xy = x3 - 55759788012763245103268247x + 160274071231786476958884060027258758889 Torsion points: O, [5794069893318, -5631353318171817243], [-1970375572998, 16201607355244137897], [-1970375572998, -16201605384868564899], [5794069893318, 5631347524101923925], [4343138164764, 159897034110346911], [4343138164764, -159901377248511675], [4083168834990, 820440885574604133], [4083168834990, -820444968743439123] Independent points of infinite order: P1 = [-3767237571006, -17800826936418234639] P2 = [1585259700257142/361, 2123162869181779086039/6859] P3 = [9269180729834383230/2193361, 1055714161550768030802877053/3248367641]
Voznyy (2022)
y2 + xy = x3 - 59352544015819225582867617x + 176114253624197084300293777605536297289 Torsion points: O, [7001184082074, -10185790497169919205], [-3187679951442, 18246102133124043087], [-3187679951442, -18246098945444091645], [7001184082074, 10185783495985837131], [4529627955132, 453964514136284697], [4529627955132, -453969043764239829], [3973310776050, 1736545425752149467], [3973310776050, -1736549399062925517] Independent points of infinite order: P1 = [-2337887628678, -17380896281877765189] P2 = [1598610034081746/625, 100094255880099851127219/15625] P3 = [19395336140035063026/6620329, 89126554699896952159302655575/17034106517]
Voznyy (2022)
y2 + xy = x3 - 955107459749218459292700x + 359299380323496406394403629809290000 Torsion points: O, [568229361000, -7196986639128300], [-250694458350, -763533734171485200], [753377354940, 259504995671562900], [753377354940, -259505749048917840], [-250694458350, 763533984865943550], [568229361000, 7196418409767300], [535454954400, 37466040985362300], [535454954400, -37466576440316700] Independent points of infinite order: P1 = [-936882962520, -657095080983042300] P2 = [550063047900, 19033444263537300] P3 = [543901088460, 26772454449524640]
Voznyy (2022)
y2 + xy + y = x3 - x2 + 286620137898112478821333x + 496887674068503269971381479471133691 Torsion points: O, [3978922509711, -8039338356467431946], [873562998171, -1189073647345280486], [-573850333479, -378733503967701386], [-573850333479, 378734077818034864], [873562998171, 1189072773782282314], [3978922509711, 8039334377544922234], [13723276771, 707688926237328114], [13723276771, -707688939960604886] Independent points of infinite order: P1 = [76050973563071911/676, 20973076443784207644066359/17576] P2 = [185208045445638322531/109561, 2520517919097063027456073509774/36264691] P3 = [2902650963313276761231/30564479929, 3871597774256424406750838999009498/5343496332547283]
Voznyy (2022)
y2 + xy + y = x3 - x2 - 329155930503850101158444x + 72686811489517257999434128334708399
Torsion points:
O, [-81241842603, -314470674029432363], [-81241842603, 314470755271274965],
[404416339029, -75591926862827051], [332326452693, -1418498631943979],
[332326452693, 1418166305491285], [404416339029, 75591522446488021],
[321895504981, 9313924330828245], [321895504981, -9314246226333227]
Independent points of infinite order:
P1 = [72296795637, 221963418654398485]
P2 = [332464071669, 1525850827199509]
P3 = [522772383770868798259045753984250528653/2871742098765680814605046361,
21100569269727735731237981393534340828072426064701409669791/153892747118943329348100152616792222025891]
Voznyy (2022)
y2 + xy + y = x3 - x2 - 13745444971148757447167804x + 19614914228368546126050272648851435007
Torsion points:
O, [2141790312309, -3832098443611067], [271171392165, -3988418754053144027],
[2332426635381, 493529299180375621], [2332426635381, -493531631607011003],
[271171392165, 3988418482881751861], [2141790312309, 3829956653298757],
[2124323833717, 41035145503810629], [2124323833717, -41037269827644347]
Independent points of infinite order:
P1 = [4106455712391885/2809, 242116465174244794852097/148877]
P2 = [142167531453949/169, 6460512202024211154409/2197]
P3 = [396590186152610955933626607703257759136621165/303455438193067007163430496281,
7897892044229815610280384950715054456817584407450012434640110743119/167163858588030677184802515552683572170978179]
Voznyy (2022)
y2 + xy = x3 - 69173824518841577935761825x + 221443040396318334797747719756206455625
Torsion points:
O, [4716418213650, -324339738415169325], [4716418213650, 324335021996955675],
[4810557651150, 41478961112580675], [5573433354900, 3005955967331595675],
[5573433354900, -3005961540764950575], [4810557651150, -41483771670231825],
[-499057246950, -15995012865631498725], [-499057246950, 15995013364688745675]
Independent points of infinite order:
P1 = [434003637390835005/8464, 282368709970640606225447565/778688]
P2 = [176332534413299442731434223465850/98292260602226243569, 9895853767072933011767750363602763477552317060275/974493586338810347122984487753]
P3 = [-95883987051272287741331545101554993857745383377556954650/46601200767914390443065385714721197916287609,
-5994415999082793425360162344642229388058084840241420492239607474979166382056900478025/318123433308972046757356437716890613780338299480032533307779670477]
Voznyy (2022)
y2 + xy = x3 + 491144809176881467216005843x + 1764318422348806312101599311059308602449
Torsion points:
O, [119624111724402, -1331288728152176999313], [26697960175788, -184137689560908836673],
[-2416241811546, -23737884897626035785], [-2416241811546, 23737887313867847331],
[26697960175788, 184137662862948660885], [119624111724402, 1331288608528065274911],
[6071015212650, 70496995542238620207], [6071015212650, -70497001613253832857]
Independent points of infinite order:
P1 = [15959247888870, 116907657327519836643]
P2 = [631365194221002368308470717000/16094257051838449, 582539854233466826622699382415782597342931649/2041768033846139568385207]
P3 = [413896617497581878688891807351299544434796707913178706/2396091564493518779412909682469410000609,
268507290901713457747011160171177012903148032538690875597521597771161825905779663/117288414436352745537966334150338421840562718242147392952273]
Voznyy (2022)
y2 + xy = x3 - 255855657457776153909330420x + 1574891207940329176314260884561958573712 Torsion points: O, [9384896905464, -546942341948094132], [39823589589864, 233543893578532645068], [13248269438484, 22595087965192871088], [13248269438484, -22595101213462309572], [39823589589864, -233543933402122234932], [9384896905464, 546932957051188668], [9936357357864, 3694101766544869068], [9936357357864, -3694111702902226932] Independent points of infinite order: P1 = [160993000852764, 2033007708495720964968] P2 = [6912969873384, 11684761295178614988] P3 = [3775946793845154/361, 45010723031346150999912/6859]
Voznyy (2022)
y2 + xy = x3 - 117043915812998427930389475x + 1019406871328951880295828313463804650625 Torsion points: O, [35605661375550, -204918355842209563575], [9688367323950, -28192837313514141975], [-10860344388390, -31774169534299318875], [-10860344388390, 31774180394643707265], [9688367323950, 28192827625146818025], [35605661375550, 204918320236548188025], [1202352499950, -29671822407114981975], [1202352499950, 29671821204762482025] Independent points of infinite order: P1 = [-13252260514710, -15591959971197148875] P2 = [678986249607192863814/207025, 17692496104151475902627371436727/94196375] P3 = [72715773763050481504350/1806505009, 19045352277228536567879831838317775/76781882397527]
Voznyy (2022)
y2 + xy = x3 - 332553902750175925420211577x + 4919014397945368734752715581909691305721 Torsion points: O, [16377150525252, 62171222826882867225], [60275807159370, 451515739590533306931], [60275807159370, -451515799866340466301], [16377150525252, -62171239204033392477], [-18340087727874, -69636417511126570005], [-18340087727874, 69636435851214297879], [2009174458434, 65260754352554674947], [2009174458434, -65260756361729133381] Independent points of infinite order: P1 = [2442136279728876/25, 118887520412888696680509/125] P2 = [-278396087601830689207662/12626342689, -55539178635146275264752006659922075/1418784248934863] P3 = [261199793059569773797263058026/741209827078561, 133321876958019350677288717885649462191721715/20179562806674599501809]
Voznyy (2022)
y2 + xy = x3 - 367978778287852079718019902x + 2716945693240620185516370222526514676804
Torsion points:
O, [30579913769244, -141634811806958772750], [11101060115628, 118494055671715122],
[12878891996712, -10674988191339530394], [11101060115628, -118505156731830750],
[30579913769244, 141634781227045003506], [12878891996712, 10674975312447533682],
[11277997691100, 1169121068812375602], [11277997691100, -1169132346810066702]
Independent points of infinite order:
P1 = [7903392054684, 17387908739557166706]
P2 = [-2277223318771128/121, -72614379001722636662094/1331]
P3 = [2166594261887673414427166072918603189804987747430/196049794663973860978584240061437481,
9016157106464526518593271090632084842801311100436895083319700802753188/86805968651401841633254830304987245705078334885020629]
Voznyy (2022)
y2 + xy = x3 - 382403626363196871238002990x + 2963531357501144842106533911473538620292 Torsion points: O, [-13570021495236, 75192417435108323778], [12334135387524, 11104782086610483738], [12334135387524, -11104794420745871262], [-13570021495236, -75192403865086828542], [28418415804924, 122666686056971527938], [28418415804924, -122666714475387332862], [7356703126524, 23419093845860052738], [7356703126524, -23419101202563179262] Independent points of infinite order: P1 = [10983522838524, 9403192853130516738] P2 = [-22647091165476, -2894438281131515262] P3 = [1433348799381932611012123404/16341717315121, 53022221953500047908308731669966692696722/66061212487486176169]
Voznyy (2022)
y2 + xy = x3 - 638708969744326595175778752x + 6213654827328693424843041844174766936064 Torsion points: O, [19956430298028, -37618276365185592048], [-7152873721728, 102060243852285617472], [-7152873721728, -102060236699411895744], [19956430298028, 37618256408755294020], [14713066969104, 1135086423638640816], [14713066969104, -1135101136705609920], [13743870127680, 5608543348411022208], [13743870127680, -5608557092281149888] Independent points of infinite order: P1 = [133253970519376/9, 44085747518526581840/27] P2 = [-664157966168475744/24025, -195071608073904280364696736/3723875] P3 = [121073597883120484992/9247681, 274982638343478526518648207936/28122197921]
Voznyy (2022)
y2 + xy = x3 - 996302203526932305009018840x + 11874128349606702309706842617314702128192 Torsion points: O, [155022270584724, -1892856512005188733512], [20628585472914, 10004054014902732228], [20628585472914, -10004074643488205142], [155022270584724, 1892856356982918148788], [42680800057824, 217026848496991736088], [42680800057824, -217026891177791793912], [24822276376824, 49373778392410610088], [24822276376824, -49373803214686986912] Independent points of infinite order: P1 = [1557077559234124608/49, 1942965785927934734712849144/343] P2 = [1228000953185879298504/424813321, 831494240367966933829213973289528/8755827359131] P3 = [-37085588937010010644164684/1344201403609, -211177551492443194749151459175091623976/1558463074740063773]
Voznyy (2022)
y2 + xy = x3 + 2686652229115640965154053533x + 73051098005858377272911719739509266523521 Torsion points: O, [59901948406482, 670022039542657489233], [275738504790840, 4666769428966427992209], [275738504790840, -4666769704704932783049], [59901948406482, -670022099444605895715], [-19042161710754, -122420043031699120071], [-19042161710754, 122420062073860830825], [7256334590934, -304841640209565765423], [7256334590934, 304841632953231174489] Independent points of infinite order: P1 = [-172153531425540756/15625, -400807460221883880048685347/1953125] P2 = [157735172978961647167465287754236/228667366026582289, 1986842724342605879574934789862994337799538563727/109346851815487153747814663] P3 = [4901183088604333361690733258473270/95710064209515939481, 549912378506816240616265235555571135210215615204771/936346111738348070726864541379]
Voznyy (2022)
y2 + xy = x3 - 701067642222418211973121890x + 6987891264157245680239427011378969613892 Torsion points: O, [17444259156324, 8161588761623007438], [36608337027444, 174311135144007641598], [36608337027444, -174311171752344669042], [17444259156324, -8161606205882163762], [133534346260224, 1514753547647135661138], [133534346260224, -1514753681181481921362], [21113590130724, 39974112224708026638], [21113590130724, -39974133338298157362] Independent points of infinite order: P1 = [429624375722724, 8888453830423846498638] P2 = [704332406129475396/16129, 500272886331632609918622354/2048383] P3 = [1201963868127495529927580073/177901742656, 41670986923723557837121528509024299313009/75036108624418304]
Voznyy (2022)
y2 + xy = x3 - 1804349130165210607610651145x + 29216927066176431540246221089536173635737
Torsion points:
O, [26881875115074, 11765552676304000203], [52038180121914, 276115577735985779043],
[52038180121914, -276115629774165900957], [26881875115074, -11765579558179115277],
[184939414120314, 2453757849515581110243], [184939414120314, -2453758034454995230557],
[31504345177914, 60339859460115635043], [31504345177914, -60339890964460812957]
Independent points of infinite order:
P1 = [13366124310714, 86531341563027231843]
P2 = [13409475748164, 86213467708645889043]
P3 = [73400540704591771606091469586792344/2089549276476089064121,
9151582940513942153196427010010710250916746821362767/95516615608988033109167754442669]
Voznyy (2022)
y2 + xy = x3 - 2355126867069615276864499737x + 45167649347272102482832871598079529075001
Torsion points:
O, [69347170202202, -464046248546953926957], [-33307746716070, 294380390925435965139],
[-33307746716070, -294380357617689249069], [69347170202202, 464046179199783724755],
[30495135674106, 41313276241865780499], [30495135674106, -41313306737001454605],
[18544856707674, 88712743231532000979], [18544856707674, -88712761776388708653]
Independent points of infinite order:
P1 = [190955664406170, 2560949482221231532371]
P2 = [2367742011895859814/78961, 861943942504688053435177239/22188041]
P3 = [-531852850398861720448142789697721324768897830/15137675050358542220086616695561,
-17124863482375789745155552250227581269504927538393190045465051587681/58896402414916475026485846820463237450843619941]
Voznyy (2022)
y2 + xy = x3 + 1676756484329511591377684880x + 370982281024396695957274205641947535430400 Torsion points: O, [-54597657761010, 341591764923401849430], [77577721705680, 983843168659303228080], [77577721705680, -983843246237024933760], [-54597657761010, -341591710325744088420], [350814220435140, 6643352513732786083680], [350814220435140, -6643352864547006518820], [630647951640, 609950796787153774680], [630647951640, -609950797417801726320] Independent points of infinite order: P1 = [-136867948046496003032286360/2310007856641, -885653417233657722459499460439690262920/3510913951080813311] P2 = [418128970241341892772207060/1970309120329, 8869139658201963787615216760081320825440/2765677595096049733] P3 = [99638455663143521787850631157840/1458448011046759681, 1579693155176106257510087170763206418914462860720/1761312546732386198648595329]
Voznyy (2022)
y2 + xy = x3 - 2576608428429308064944534655x + 50346191979970255979613417184100249514777 Torsion points: O, [27587328753894, -16127014193891092947], [27587328753894, 16126986606562339053], [-14472665222106, 290869680976818451053], [29554470330294, 3277299152582162253], [29554470330294, -3277328707052492547], [-14472665222106, -290869666504153228947], [40161007531554, 107902494330920676933], [40161007531554, -107902534491928208487] Independent points of infinite order: P1 = [176068245738294, 2248289854448346416253] P2 = [262092492025546/9, 77897640092770701931/27] P3 = [485453467675522894307501574/1991330211025, 10480551594679690117123989480371653039653/2810055670636873625]
Voznyy (2022)
y2 + xy = x3 - 557461003184423625401994915x + 139741007388627068526493347028003685839617 Torsion points: O, [227832074112174, -3440772762056259696087], [52746960732354, -507041874965934520947], [-46494831644226, -255242919819681577287], [-46494831644226, 255242966314513221513], [52746960732354, 507041822218973788593], [227832074112174, 3440772534224185583913], [185389224174, 373681236387560279913], [185389224174, -373681236572949504087] Independent points of infinite order: P1 = [5289288021826074, 384672996158621177621313] P2 = [4624256550365034174/3481, 9942765949348425642045604347/205379] P3 = [-2359871314153257599604/439028209, -3473531591458590331420599256822029/9198958063177]
Voznyy (2022)
y2 + xy = x3 - 3646298113505152495978876080x + 42393731041808467849976592442691283524352 Torsion points: O, [76367542715544, -457504720033270999272], [76367542715544, 457504643665728283728], [55518188271054, 105260930036276413788], [153545376734544, 1761401459133531697728], [153545376734544, -1761401612678908432272], [55518188271054, -105260985554464684842], [596681982117444, 14501828349800737270428], [596681982117444, -14501828946482719387872] Independent points of infinite order: P1 = [388352658154191504/841, 239987828108613087099528192/24389] P2 = [1268943430451170700862399/696220996, 1428651916209871029123518672255473293/18370487200456] P3 = [-2336361539201857429864246068/202730069665561, -831026451635490367524912278987042932670052/2886537835551316818691]
Voznyy (2022)
y2 + xy = x3 - 2539798882463892460704469332x + 49265973272083231479712402044235400193936
Torsion points:
O, [60946330099800, -347644909721599304244], [29110036240716, 109168014771608220],
[29110036240716, -109197124807848936], [60946330099800, 347644848775269204444],
[31225034783802, 20128597894413331608], [31225034783802, -20128629119448115410],
[29259833590704, 1527068539594322724], [29259833590704, -1527097799427913428]
Independent points of infinite order:
P1 = [29195174877816, 921129747921533820]
P2 = [29117633037924, 187255443223152732]
P3 = [1668658853829500761461530382208863795759506774549293176/104349848204490713322133435884985508440849,
3804886810518746816544438557898749073669344692182621607919363922630661192026497508/33708368459680807339608000230329247039837276655331296899520007]
Voznyy (2022)
y2 + xy = x3 - 3755297767126166147973828735x + 88684006951677218696310114989298353199897 Torsion points: O, [58970302922034, -268890322262021202267], [-28081959547866, 414722563792381447533], [-28081959547866, -414722535710421899667], [58970302922034, 268890263291718280233], [36221453844534, 13563983151732452733], [36221453844534, -13564019373186297267], [30779718594534, -47512426215427797267], [30779718594534, 47512395435709202733] Independent points of infinite order: P1 = [14382558730134, 194031854980193178333] P2 = [760540319410105833564/19456921, 3453009778718877699126414035223/85824478531] P3 = [52834814493451684140828571831980486/146698926495306633529, 11979122684453625730803612122285133232986406818520839/1776807602183735074193407368083]
Voznyy (2022)
y2 + xy + y = x3 - x2 - 76575408126770157358571508752222x + 257918264440119046689709905212558824142895871469 Torsion points: O, [1805267935996017, 354347977507477432401211], [5052988985037177, 103924547074824601411], [5052988985037177, -103929600063809638589], [1805267935996017, -354347979312745368397229], [5273547290574777, 27443867605724258415811], [5273547290574777, -27443872879271548990589], [5039023333261177, 1627223196392161881411], [5039023333261177, -1627228235415495142589] Independent points of infinite order: P1 = [2672459792201317633/529, 767786761194248523229637/12167] P2 = [410573031681201436497/1681, 8314010319904604107384934279771/68921] P3 = [350889826686287611188628369/69206351041, 40280554971261508689390561930771759877/18206183974706911]
Voznyy (2022)
y2 + xy = x3 - 29587158935685729568468627294890x + 62221326036977172444821856480342248150137865892
Torsion points:
O, [-3011686424818176, 352153102775247203742438], [3269340386393844, 20867679857184704481798],
[3269340386393844, -20867683126525090875642], [-3011686424818176, -352153099763560778924262],
[6034757343086724, 321629569229509423891638], [6034757343086724, -321629575264266766978362],
[2524257799724724, 60166190634586209349638], [2524257799724724, -60166193158844009074362]
Independent points of infinite order:
P1 = [4721564591012724, 166680219853981664629638]
P2 = [-357823781494594111008048828/293158356481, -49312161462155179354953718398744300269322/158727953691429121]
P3 = [338371847939757101645873064462982198603455150676929422205923961813158462784/93380928869368800087785376840598566988204415606100615558961,
1451828779155430678438804912531569671507379093894417910250849154428045826158409968113031026766755806044630705622/
28535618119239410392070016209413745401056316913876984435680867415800936283879879610023209]
Voznyy (2022)
y2 + xy = x3 + 1692860291473935542485456237728x + 5446265206032157405117609320119382622000997376
Torsion points:
O, [43554270474624, -74297234979628697906016], [43554270474624, 74297234936074427431392],
[-1232239760485440, 38590210809835710354336], [1972018084109136, 128271232500718426413840],
[1972018084109136, -128271234472736510522976], [-1232239760485440, -38590209577595949868896],
[9018115691355372, 868402928996901732473508], [9018115691355372, -868402938015017423828880]
Independent points of infinite order:
P1 = [17463826597752444, 2315430711497317545730452]
P2 = [-2148490694000858769803212679302187819044/3082624660173614218117849,
-339201300576551747537775399607694030935261308318463703732228/5412288924270846566611101678861782243]
P3 = [-990157969606752251724242721366616913990592457482966048675546900/709916883443156992111531035317859489966010490281,
-11534990949797468748677955257242196704934614231199014930062638496424137653076697524546253813296/
598151584086611966205917295899942355267168814228049546288146038290547179]
Voznyy (2022)
y2 + xy = x3 - 1957742005911125603062856131644930x + 33363806493815550886487744986077870273628763181252 Torsion points: O, [22798714472039844, -761677631918254398515922], [22798714472039844, 761677609119539926476078], [-18383377713183756, 7946136235718952283927278], [26019521320203684, 199788877463408657130798], [26019521320203684, -199788903482929977334482], [-18383377713183756, -7946136217335574570743522], [40294332755975844, -4461066842901775623347922], [40294332755975844, 4461066802607442867372078] Independent points of infinite order: P1 = [859821822988072321003536/237560569, 18786639368619204594452153235070241466/3661521049997] P2 = [62402074237983769640190588996/2378544316009, 893962992781548093735832227499962581923206/3668317106997828277] P3 = [182487030373859491122965140309956/2042701285240009, 2206976477945626873710780088592077895121446534886/92322444091132612486277]
Voznyy (2022)
y2 + xy = x3 - 929971616195268765173018483100x + 345289688216003817881841165620620446857610000
Torsion points:
O, [510740486701200, -1882863354894424163100], [510740486701200, 1882862844153937461900],
[564109357448700, 441044041783531964400], [821251820368350, 11638119475630038557250],
[821251820368350, -11638120296881858925600], [564109357448700, -441044605892889413100],
[-344980157923800, -25001097862147886663100], [-344980157923800, 25001098207128044586900]
Independent points of infinite order:
P1 = [530267972371200, 1121810523920417916900]
P2 = [23365753702518805200/19321, 84471941230236976949598536100/2685619]
P3 = [2421991435801977000822273508557039813572707073849393934518833522336403569329904583413103966649532432703398404206043677700660259994429278832870280/
4164194354610471878411968471952138318854400259942127887468554335160660049773311298511660218498386935553971611425420861332478164529,
288334366776033555990967978059736363937466670582334939457515079654071785552525263001167329648633600084121479491018663647997155331589099122895400216880750665360019613871417845048922530124531296127394507233763263605100/
268717831747375599533995767866409128409896757939346997611572551245270521050924482627247299678983871316827415723873555238652420209137754444022304171885475207375954798389923197147078942409978670167]
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