Torsion group Z/2Z × Z/2Z, rank = 15

Elkies (2009)

y2 + xy = x3 - x2 - 1478818379630960182018543975144238479079598870400357903794x
    + 21612333371564362906227820064846376685227380006732368388851217276076518563786908263808	 

	Torsion points: 

O, [20132796920323657380201007272, -10066398460161828690100503636],
[-44342063964345914112746632512, 22171031982172957056373316256],
[96837068176089026930182500963/4, -96837068176089026930182500963/8]


	Independent points of infinite order:

P1 = [11183035360176737872066462162, 2544250119932764965168254926681650601072814]
P2 = [-14387255078284602255172684728, 6317468477138182570583042837408855896541364]
P3 = [19438262913631476179745098142, 459721721339879324467548812793427818227814]
P4 = [55823249110172914794349281022, 10631004522185171552847940461954446457166364]
P5 = [32572289692579628851611993897, 2828698563670717423033345745417611680180114]
P6 = [24588470142629085616740326022, 341270246931310610931397778424345615952614]
P7 = [19982025847826040867579006207, 202476372279358043207285606116969759878864]
P8 = [24988563558081184745544566922, 512203846743830750521268371377174156493614]
P9 = [19409175712041011823546618522, 470570514278064910180708844073966212677614]
P10 = [15343558255011251183303194179, 1591933177167506122828050814070561825165145]
P11 = [24354530036362110771030330897, 205253458293167433649155238598749814431989]
P12 = [40442125414745602621502494162, 5286919745747422460169589189761390362993024]
P13 = [24943293985561753095203275747, 494620041717645188762260334392615608575364]
P14 = [266053292109858198648954299847, 135869710793553829756471002267336612487527489]
P15 = [1872527673822446130016910594397, 2561836921226411679741258783032933091672508614]

Li (2026)

y2 = x3 - 4662207840217014752473318532088092957971095844923577499475x
    + 122437964858932935093951334021255900810328537431641118383210183405054609531545203001250	 

	Torsion points: 

O, [-78836928547395966269674013715, 0], 
[38545616562695681598479763390, 0], 
[40291311984700284671194250325, 0]


	Independent points of infinite order:

P1 = [35603386057279384669214867925, 1256371971039812937502565786664438210223200]
P2 = [38409261570616363838065520085, 173460469365724117571043260201826431450400]
P3 = [40312723703878191617647113465, 67143441857180609573327416726342329671700]
P4 = [5577087594798941976362794315, 9829033144588030444528073275530136134701650]
P5 = [67025323696822737267151865325, 10538317625080774900802262397375626699624000]
P6 = [34527126468525562109238219075, 1620459241895699048070463127646310409148750]
P7 = [24805282135239169494387608475, 4696096704559711195510804435881834068427150]
P8 = [-5004331715425800765749781015, 12068300388101183401008846342993946882067700]
P9 = [34937766132624736318564244565, 1482408392717152393123730784748002465926400]
P10 = [37545786643594628827701795315, 565223272332110550381329680045559892685650]
P11 = [57218047390295717263270231246, 6557589811188621624692159813982295747663156]
P12 = [24509890469918662146734946315, 4784527542167976167564585167463617753167150]
P13 = [3348077348192141030126393585401/36, 4797220286903253849871988612827488300988152949/216]
P14 = [26182656224657510766620810325, 4279955021418652533351092977231653187488000]
P15 = [19471478387176911567759288585, 6248221522746380756211181056827642230553100]