Torsion group Z/4Z, rank = 11

Elkies (2005)

y2 + xy + y = x3 + x2 - 10920091632464590365831264648975539x
             + 437651494057993449247068775775947593191303103178481

	Torsion points: 

O, [63258054081367075, -31629027040683538], 
[96192118300939107, -16651818918278859993549458], 
[96192118300939107, 16651818822086741692610350]

	Independent points of infinite order: 

P1 = [12312962916337123, 17465954517603234702423470]
P2 = [67285511500842939, 2740790813470355147146630]
P3 = [45984212347729443, 5721494183071967029585390]
P4 = [63658075732213475, 681407101617676553902702]
P5 = [57081828073673891, 551746937417282363027054]
P6 = [46468625331642675, 5527304026709760117608782]
P7 = [113108473177593891, 25486327153555762916111854]
P8 = [-8906302459944157, 23112824697957639230384366]
P9 = [63489682889990683, 511303164918466268499686]
P10 = [-3704626064653973325/49, 9888282977010465021877712866/343]
P11 = [1685476156824117371/25, 350691194569447786722914054/125]

Eroshkin (2010)

y2 + xy = x3 - 615411322294732283803288785027250860840x
        + 5538719221187391635372324416383813743465156669756429313600

	Torsion points: 

O, [33031894622115968880, -145780032072398118828250407240], 
[17040500771125811280, -8520250385562905640], 
[33031894622115968880, 145780032039366224206134438360]

	Independent points of infinite order: 

P1 = [18053404313496660780, 17678035935154218667942954860]
P2 = [18328783455961838160, 20406585717086330830203665880]
P3 = [29608841568563327280, 115215822286141843190344794360]
P4 = [17294778830561783280, 8267224166145000557315682360]
P5 = [17083804568307863280, 3342124281341824097293734360]
P6 = [86478894245983532880, 773989414331611579789717868760]
P7 = [22441632017274878280, 55046282104980150351733662360]
P8 = [20595174804919271760, 39998625478512888593836472280]
P9 = [17624343157730840832, 12920054428777609733507610072]
P10 = [19406810773483363440, 30076980385559785010892114360]
P11 = [21533376366441332972880, 3159860490394902449468489594828760]

Khoshnam - Moody (2016)

y2 + xy = x3 - 83598958924587909464854346830766301770x
        + 294558475635028689022196236625520239031964650641823108900

	Torsion points: 

O, [5280266705656745140, -594924624464385582083718170], 
[5280266705656745140, 594924619184118876426973030], 
[-10559122671197498060, 5279561335598749030, 2]

	Independent points of infinite order: 

P1 = [-376658071791198860, -18055283474071165325696694170]
P2 = [5126975891755967860, 845996987662141966273374310]
P3 = [3061243374503166190, 8205441734919964615103472280]
P4 = [1941917047927221472, 11812674654292737888137594566]
P5 = [620417310829718740, 15586245343508460341818496230]
P6 = [5301357312000892480, 601609041349147923620788090]
P7 = [2881859166491031610, 8807508921706068412899766810]
P8 = [4170532698807427752, 4294856170447441908261060786]
P9 = [-3328999758526185560, -23150952839357719761727450970]
P10 = [5122395271209196780, 858924728430079776471759430]
P11 = [860309498550198580, 14942363941257491522837379430]

Khoshnam - Moody (2016)

y2 + xy + y = x3 - x2 - 6733405851080577415475454221932585499304047x
             + 4800325455798548390824144090920449266363788590480449836501600119

	Torsion points: 

O, [-466406396651267428173, 88540213093604830382637677042086], 
[-466406396651267428173, -88540213093138423985986409613914], 
[2111993798863171867827, -1055996899431585933914]

	Independent points of infinite order: 

P1 = [612431631770882567827, 30104501132478688536678946066086]
P2 = [711816938318439197427, 19184340278585521798388646194086]
P3 = [4268560138861462087827, 232021827986848369563432827666086]
P4 = [556272770601756280827, 35026387726633526512811324981086]
P5 = [784176974198665091227, 1536340416191398554476259698086]
P6 = [2116726688248123095327, 5622008589229975369763987328586]
P7 = [-405612554541403539147, -86398769666485987658728130570312]
P8 = [342432162195579242827, 50346243685237300680925648066086]
P9 = [-1130345153944969017873, -104724297772201699033993373444714]
P10 = [272850750430950673227, 54620725748904290293131623468686]
P11 = [2121357868214022354099, 7925283056603117101549058856358]

Torsion group Z/4Z, rank = 10

Elkies (2005)

y2 + xy + y = x3 + x2 - 178794778214407978859461188x
	      + 919419935068616719030140166742670899781

	Torsion points: 

O, [7902333519965, -3951166759983], 
[10825661583645, 15892163331274543377], 
[10825661583645, -15892174156936127023]

	Independent points of infinite order: 

P1 = [7991223717565, 973476603398652017]
P2 = [7157502138095, 2524594321090659027]
P3 = [6490090505595, 5691791551237981527]
P4 = [8260503930845, 2479531125255223377]
P5 = [7068765426045, 2961370070561940177]
P6 = [7986191049565, 940173095443704017]
P7 = [7906176561445, 182183392974586577]
P8 = [7447027420345, 963938571466557377]
P9 = [7536040864245, 36725312300251577]
P10 = [5577275134045, 9783604580829236177]

Eroshkin (2008)

y2 = x3 + x2 - 110907705551334904313030730340x
    + 14209200477703631816262785853057594833158688

	Torsion points: 

O, [195804468832796, 0], 
[131691564567386, -1373853819454733446830], 
[131691564567386, 1373853819454733446830]

	Independent points of infinite order: 

P1 = [7487174762891, 3657763636175745336240]
P2 = [66153929096078, 2676141294657606477702]
P3 = [-13347561044449, 3960703205400133720710]
P4 = [181718532279926, 236339226851902975710]
P5 = [129109836878846, 1429021260168509457450]
P6 = [145247830530626, 1079064641655703813110]
P7 = [88799390252396, 2249639192885701617000]
P8 = [-199927079309134, 5328358228788194289690]
P9 = [187628598971846, 71501205004095977550]
P10 = [68197418265338, 2638704196747226745522]

Eroshkin (2008)

y2 + xy = x3 - 1281493142199716912383484016491195x
         + 20908478821228455374087389955630487236070347099025

	Torsion points: 

O, [21486290540011990, 1814750762615772718487905], 
[21486290540011990, -1814750784102063258499895], 
[-42159575397842210, 21079787698921105]

	Independent points of infinite order: 

P1 = [-1884428609245490, -4828733727563649610956095]
P2 = [9999761497788040, 3015589736530490299309855]
P3 = [12200758408015870, 2662607223124380557977105]
P4 = [4933348790184430, 3834904647907043298422065]
P5 = [3519275753727790, 4054890671211978028291105]
P6 = [14461367628578290, 2323931548228764087838105]
P7 = [-2033604490069460, -4848310938042222755152895]
P8 = [8994062137272190, 3179655310614273671989105]
P9 = [16053683488503262, 2114984845243170564101137]
P10 = [26966762358435790, 2441547962033335259143105]

Eroshkin (2008)

y2 + xy = x3 - 760145319394626167366827836801635935x
         + 326380843415620023885693187007160075335038240252804697

	Torsion points: 

O, [-1036794707078723866, 518397353539361933], 
[533136652721679734, -269546737807367996487415267], 
[533136652721679734, 269546737274231343765735533]

	Independent points of infinite order: 

P1 = [9351912801440222, 565042342279830932298098525]
P2 = [213713389039346534, 416759679868093440475592333]
P3 = [393973467736036454, 296739590176255292862135053]
P4 = [406816171100407334, 290635968208203911412939533]
P5 = [234359676554991974, 401379509123341236684375053]
P6 = [400579344813463634, 293531629923125075348299433]
P7 = [-64825358359178866, -612686803147736648313213067]
P8 = [1554210922215654122, 1702722065578612070128963925]
P9 = [237074990359828634, 399367114886444437383304433]
P10 = [510752320135368038, 267158678585778218818603661]

Eroshkin (2008)

y2 + xy + y = x3 - x2 - 1438890788668364715460404815472111782x
             + 664238447429240521151735809720974728393274982519227189

	Torsion points: 

O, [699504630281583497, -349752315140791749], 
[869884777856821097, -266102711989934394825413349], 
[869884777856821097, 266102711120049616968592251]

	Independent points of infinite order: 

P1 = [520887678470565777, 236785302619335675555907371]
P2 = [710270859444232457, 23601426293735409770127291]
P3 = [647688470016257117, 63174492741286520948721951]
P4 = [709562420082172937, 22478274457271147570215611]
P5 = [702959263351471497, 11196955863283826439240251]
P6 = [711442588904296697, 25442532030235744453497051]
P7 = [699713582108187017, 2481405925156054230971451]
P8 = [517284388093930737, 241535268737908928011771811]
P9 = [702701713122958997, 10690728311934648509815251]
P10 = [-196617500442541171, -969303167941575286336924593]

Eroshkin (2008)

y2 = x3 - 2901413377029475814340493444042767x
    + 60112620677766830193510638729425884294374453937874

	Torsion points: 

O, [31760259820397783, 0], 
[42928470713286833, -3830178611508582492309150], 
[42928470713286833, 3830178611508582492309150]

	Independent points of infinite order: 

P1 = [9646618920345158, 5746431883465628287663500]
P2 = [22516670868944423, 2489661273896584110839880]
P3 = [-11731608543750967, 9619575762996283592576250]
P4 = [31932595197275909, 155981139952020471555390]
P5 = [32234760310611533, 284153673834028171923750]
P6 = [33132846938761673, 594386933433533810843130]
P7 = [14198652836651958, 4666790390939468272881400]
P8 = [32130881903267393, 243651479979758871850830]
P9 = [32807820520613813, 486179240037017139923310]
P10 = [11055368642843465, 5421035543526884598589062]

Eroshkin (2008)

y2 + xy = x3 - 469917050010248316855222453915732505x
         + 121700328613583346435162710697715924409177216507045177

	Torsion points: 

O, [767486105638297994, 461650993946261693920122803], 
[767486105638297994, -461650994713747799558420797], 
[438895821028911194, -219447910514455597]

	Independent points of infinite order: 

P1 = [-146286683898037306, -432796061234100100258416097]
P2 = [108038449934232194, 268686205122140342089930403]
P3 = [452441406303420482, 41311174649746778876836763]
P4 = [452695314206676944, 41752991757258929222247653]
P5 = [-253366593281982232, -473810970451121523534799459]
P6 = [442081176832193294, 18902908600673667767825003]
P7 = [227860822860174452, 162650862827172354406068323]
P8 = [85157260367825594, 286881543391818429188711603]
P9 = [449352484018106474, 35695023271699947299504243]
P10 = [-67833587645935306, -391489921725469422537090097]

Eroshkin (2008)

y2 + xy = x3 - 87362539812439413437833065426284x
         + 1241608478171540522727605890546080801398358040464

	Torsion points: 

O, [-13413637921750568, 6706818960875284], 
[7856399856190384, 1019889278393031984370684], 
[7856399856190384, -1019889286249431840561068]

	Independent points of infinite order: 

P1 = [12671735539611790, -1472857965505361554356272]
P2 = [-5742943676520860, -1246561784318309584428668]
P3 = [2138788584575050, 1031766535181282505457558]
P4 = [-6702171337531556, -1235342734384161373398716]
P5 = [-759249792205406, -1143460008124367165861378]
P6 = [-12995920712039624, -426652860429217686365708]
P7 = [28054933432416298, -4568601038777740126291424]
P8 = [1152874383209740, 1068841779862998610161328]
P9 = [-3563935899462440, -1227882379605974010717548]
P10 = [-12170113713276020, -708720448433330741811152]

Eroshkin (2008)

y2 = x3 + x2 - 18930547595582330633859100826042865x
    + 743333575262731208284792941763359206829310485395775

	Torsion points: 

O, [243395856800774595, 102736862257161790173215700], 
[243395856800774595, -102736862257161790173215700], 
[110458120688643645, 0]

	Independent points of infinite order: 

P1 = [20559514928248395, 19047862763645511972676500]
P2 = [39565101831733395, 7501975394540494976608500]
P3 = [28287947149303395, 15181023867991162550596500]
P4 = [-32685445410724035, 36430314859269554797617120]
P5 = [-11186576971152435, 30882061465346532434966280]
P6 = [118419368795569395, 12735866015645411612200500]
P7 = [124314225677221770, 17639517362720208634940625]
P8 = [182624320292371875, 58111756167727774877945580]
P9 = [110642430084334065, 1807888292870044459854780]
P10 = [23321632188969315, 17734906498764828289125780]

Eroshkin (2010)

y2 = x3 + x2 - 50491061391988204405194159029361x
    + 135663699587915859546796760459040265253947368735

	Torsion points: 

O, [4539034041928485, 0], 
[7903172670072207, -479851415254420547970060], 
[7903172670072207, 479851415254420547970060]

	Independent points of infinite order: 

P1 = [594879530959527, 325327708047053156882580]
P2 = [2884705001402037, 118393501187363110445880]
P3 = [-1520096210813991, 457058525564559582882036]
P4 = [2775663697578585, 130007938722486060873780]
P5 = [-1133633732800665, 437544521662602852957420]
P6 = [4540694038684071, 4338712096157000607084]
P7 = [-2587491423319143, 498984311740534566303060]
P8 = [16514120392102887, 1950773163564108331686420]
P9 = [3618616115188602, 18424847821955205003945]
P10 = [1321489924618677, 266923276622854745030280]

Eroshkin (2010)

y2 + xy + y = x3 - x2 - 28562016892450236469278130528841147x
            + 1855604032124054096684337837801147788788173909411371

	Torsion points: 

O, [141241169865718611, 25280448179887316452374994], 
[141241169865718611, -25280448321128486318093606], 
[100384705906350411, -50192352953175206]

	Independent points of infinite order: 

P1 = [-35654245600770339, -53184928493164853355793706]
P2 = [102663271430755911, 2319240609938111081641294]
P3 = [52673995966314411, 22299665827759615565408794]
P4 = [91736654652562531, 2727711406692375247325914]
P5 = [100595198949492411, 603919072698101752016794]
P6 = [-65816389876514589, -58739676675009736575030206]
P7 = [104943321056725411, 3736640023782459047249794]
P8 = [85100033778102759, 6424267594322106960581806]
P9 = [109620193709308971, 6472309265284227861714874]
P10 = [131809366710013161, 19516154123990917016704294]

Eroshkin (2010)

y2 + xy = x3 - 1034642810304700336989303292996335x
         + 27194354320720666208457979454230524027566043738297

	Torsion points: 

O, [-41172155077932666, 20586077538966333], 
[22473710859921534, 3910605563287108844697933], 
[22473710859921534, -3910605585760819704619467]

	Independent points of infinite order: 

P1 = [1963070251109334, 5017055188546855513152333]
P2 = [2685645541820454, 4943181282395407331179293]
P3 = [7997842751105574, 4408064167520510706622653]
P4 = [9767429295482214, 4245043305621547405927773]
P5 = [-5651061635916666, -5732427126985005778937667]
P6 = [16574454263852334, 3820853916529487973711333]
P7 = [7436414620847334, 4462236776055147090486333]
P8 = [19476238825878894, 3798842748743389505855013]
P9 = [-6605865818580816, -5808683381863099996969317]
P10 = [13748357584511334, 3945680279355505842090333]

Eroshkin (2010)

y2 = x3 + x2 - 1943429743722969114553996571920532980x
    + 14884792023408679915420022260951621825514385918921561728

	Torsion points: 

O, [-2722332069468628924, 0], 
[1782093082051715126, 4132927520396891255805415650], 
[1782093082051715126, -4132927520396891255805415650]

	Independent points of infinite order: 

P1 = [-427172584770742117, 3954367586298572428628234592]
P2 = [760257887621777546, 3721116398478610908210262290]
P3 = [606915923615763026, 3732137348465002791209459850]
P4 = [1068510370143712046, 3745417316748935152721248710]
P5 = [-839006221187752474, 3990581262430580122452759150]
P6 = [2022554584651863956, 4384953595030965159721878360]
P7 = [6639950657837281478, 17167671130294892638491378318]
P8 = [464669811929636006, 3752608357156476706290191790]
P9 = [-200110161257290129, 3907131791504323450172525190]
P10 = [4499207948473513826, 9859908154317940015940535750]

Eroshkin (2010)

y2 = x3 + x2 - 38396932203315800018086858812203832603560x
    + 2895935359083517194158307262550771514346143693455215925052708

	Torsion points: 

O, [113414196619751906611, 0], 
[127249216727992963336, -265370194766021422762990755450], 
[127249216727992963336, 265370194766021422762990755450]

	Independent points of infinite order: 

P1 = [113916758950557205111, 13500221026921276791248250750]
P2 = [113896389823119173431, 13096470814850457576925850610]
P3 = [113590449221455398496, 6656667623985127552184010630]
P4 = [30455989741818665911, 1324676853536502975722736519150]
P5 = [114142831910452099927, 17902270485010503247645720170]
P6 = [79428078175202623027, 589269244861500242748997345200]
P7 = [138439983835588620736, 483274323444600799593635175750]
P8 = [113987591930549406256, 14893171177371804903757972710]
P9 = [84735300792849385411, 500764667481151987168163808900]
P10 = [111510896511728917936, 29348679413717229219858354150]

Torsion group Z/4Z, rank = 9

Kulesz - Stahlke (2001)

y2 + xy = x3 - 791410724196656192877500062111x
	   + 270985332491881387056053084997768958465063385

	Torsion points: 

O, [448086509574998, -2516417112919062906259],
[448086509574998, 2516416664832553331261], 
[515072096254310, -257536048127155]

	Independent points of infinite order: 

P1 = [-74068218887962, -18143796961075289154739]
P2 = [511534686823160, 58470570596143399925]
P3 = [357745618823558, 5800567653253786719341]
P4 = [46172989499126, 15314763171500332546349]
P5 = [355981327890944, 5862491533929390068891]
P6 = [602281137752798, 3578629072947333881861]
P7 = [380819855348144, 4982804555495324973515]
P8 = [-703211300867866, -21903697871091460615219]
P9 = [487486341852188, 1015429697665547098151] 

Dujella (2005)

y2 + xy = x3 - 166949722612780501168288982743613641730x
	   + 834840766609103026403820802333562999484076469013075040452

	Torsion points: 

O, [-14928863831425505756, 7464431915712752878], 
[7468975423264965244, -2135092766480393408286474122], 
[7468975423264965244, 2135092759011417985021508878]

	Independent points of infinite order: 

P1 = [-8820362216509922756, 40263932840798434036966781878]
P2 = [-782860091620997756, 31065402787828962844224056878]
P3 = [-5636143289585842256, 39959416553160222669625340878]
P4 = [9961806811829238544717456/573049, 24485557556804809925082322730120724154/433798093]
P5 = [-537544178655329825148656/39601, 193027647463604874596475787842840322/7880599]
P6 = [6904282448278329892, 3360620299363613882353063918]
P7 = [1741500512137540439760724/168921, 1004730397874305643252222751219816218/69426531]
P8 = [-11975077422549535854893084/840889, 13884475622003938729376902028644617014/771095213]
P9 = [6752874832387240284195425865364/14123183281, 17541877711551772567165400626439982280674660638/1678413224297321]

Eroshkin (2008)

y2 = x3 + x2 - 205496172578185251395440662829934785x
    + 11849852981876652616557426694362320162271429199181183

	Torsion points: 

O, [421139626921969361, 0], 
[-150331792760363809, -198355779911253887186223960], 
[-150331792760363809, 198355779911253887186223960]

	Independent points of infinite order: 

P1 = [-354190018494997279, 200502385826984101223443080]
P2 = [-437037439569393439, 134849804811372529303534200]
P3 = [-97475078008482769, 175938795101499865283688840]
P4 = [-144765896268442582, 196379244958849401511041903]
P5 = [-410120921945459473, 164760838222673865206745480]
P6 = [-416990865640816369, 158217988422627336188933640]
P7 = [-111756092132904814, 182810100770872307835777675]
P8 = [582484911105669551, 299636387842864495851517320]
P9 = [1904291285507941919/49, 21481588372636373466395144520/343]

Eroshkin (2008)

y2 = x3 + x2 - 246850542450447117600763943437460x
    + 2124703140418099231592606536930952455079436940608

	Torsion points: 

O, [9864754457609206, -805950219044077741466910], 
[9864754457609206, 805950219044077741466910], 
[-18947023375137164, 0]

	Independent points of infinite order: 

P1 = [-1880660411281574, 1606951619114589607243230]
P2 = [-1623386504886464, 1587815711394256785718200]
P3 = [53194260738466, 1453124997658357390638810]
P4 = [2524678293767631, 1231899847699778544207690]
P5 = [3083221020040426, 1180219570536845236882770]
P6 = [12040644818635588, 947671639507458641010312]
P7 = [3981613914031006, 1097707203286600656164310]
P8 = [7254218066499856, 846013666593435770097360]
P9 = [145648955101134916, 55280308365256034344100040]

Eroshkin (2008)

y2 + xy + y = x3 - 1742907593966990756845614x
         + 884438686985072950763948120250518212

	Torsion points: 

O, [3140269971671/4, -3140269971675/8], 
[1110774894341, -564764161159305741], 
[1110774894341, 564763050384411399]

	Independent points of infinite order: 

P1 = [-75449078194, -1007725103207297976]
P2 = [820809034388, 82740042886701567]
P3 = [411269065781, 487029241050481419]
P4 = [935988672731, 270356715099523419]
P5 = [263042753099, 666468018565637865]
P6 = [916824173531, 239061498026206299]
P7 = [2928006134039/4, 233685892742150397/8]
P8 = [738992386706, 3766605528298749]
P9 = [789721893716, 23342402566444524]

Eroshkin (2008)

y2 + xy + y = x3 - x2 - 176620653974058428143264127x
         + 903414674763811890417046406006315779751

	Torsion points: 

O, [7718659159251, -3859329579626], 
[9172083968451, 7419985594402839574], 
[9172083968451, -7419994766486808026]

	Independent points of infinite order: 

P1 = [7768993064691, 406346675232305014]
P2 = [4347401613651, 14755987046504074774]
P3 = [8207792508501, 2586575356972455874]
P4 = [249263407251, 29315611689872948374]
P5 = [4777788280851, 12985466545844741974]
P6 = [7865802003931, 902972932760584854]
P7 = [7808702553939, 615370768676079766]
P8 = [7721544259651, 79289152381169574]
P9 = [9142567814251, 7269385757356565374]

Eroshkin (2008)

y2 = x3 - x2 - 63101137631999143241257265x
    + 191341468112384598938400129107933347137

	Torsion points: 

O, [4922161372179, 0], 
[1826700164329, 9064767173835187100], 
[1826700164329, -9064767173835187100]

	Independent points of infinite order: 

P1 = [4046893030649, 1501755661273561980]
P2 = [-207449533823, 14297651626859442556]
P3 = [-325725187176, 14555429899070970195]
P4 = [3981277360529, 1795508458242684900]
P5 = [5946541104089, 5136700039591756740]
P6 = [809049061709929, 23011314698170406393500]
P7 = [37491752675879, 224778020445313965300]
P8 = [2264866538708309/196, 86996381245561229373525/2744]
P9 = [5807638191824, 4555957985766417945]

Eroshkin (2008)

y2 + xy = x3 - 3796945199097665047266867217657570x
         + 90053238757721148532503511375148048023191940383812

	Torsion points: 

O, [37810942192819364, -737721397592643487120882], 
[37810942192819364, 737721359781701294301518], 
[35598869204894564, -17799434602447282]

	Independent points of infinite order: 

P1 = [28976854476915914, 2088147659103842244510818]
P2 = [32835719065976564, 883614424636281921448718]
P3 = [31994009520868964, 1150364535137936227811918]
P4 = [19798347862574564, 4758197751976174562272718]
P5 = [35647438683607592, 22129387556019059551178]
P6 = [35610546243722564, 8467716416727238900718]
P7 = [35972156521606874, 129460455676705830809348]
P8 = [35607291607482724, 6984928715105109452878]
P9 = [36765729402447614, 390779703902764130106368]

Dujella (2009)

y2 + xy = x3 - 483725969460602178479334521365188x
         + 190358540102254190991536781247531330227214704382992

	Torsion points: 

O, [-60325983573810168, 30162991786905084], 
[41820709534592712, -15597179772769573766807556], 
[41820709534592712, 15597179730948864232214844]

	Independent points of infinite order: 

P1 = [-16645085583782268, -13921154095846610086268016]
P2 = [30569176457931912, 14287671347748000840206844]
P3 = [16638057761691912, 13671726629420585942126844]
P4 = [-1795117496287224, -13828271777700233522135556]
P5 = [38614274101441608, 15141205218230059828962300]
P6 = [134075838854196312, 50355676623093919804459644]
P7 = [20335183698911112, 13745213070611076417605244]
P8 = [-56432036076432888, -6159882060292563595722756]
P9 = [98489398436756232, 33137286223500682310303484]

Dujella (2009)

y2 = x3 - x2 - 16275673326928004830300499825x
    + 22374180470634970227928749712599947693981025

	Torsion points: 

O, [-301008832994949, 0], 
[204504054373925, 5253426414016928203980], 
[204504054373925, -5253426414016928203980]

	Independent points of infinite order: 

P1 = [-77014662931824, 4813611129563743070025]
P2 = [-106173766036725, 4785953101507739912520]
P3 = [31413536475375, 4679092135601877391020]
P4 = [96000948900701, 4657946180745108640620]
P5 = [540550068665225925, 397423806070678002049531020]
P6 = [230752447751901, 5559256565264735519340]
P7 = [-79459122953443, 4813080716618069800212]
P8 = [-65863763757800, 4812529297203127196605]
P9 = [11734315925224435105/2704, 40184485126455200520458751625/140608]






High rank curves with prescribed torsion 



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