Torsion group Z/6Z, rank = 10


Singh (2026)

y2 + xy = x3 - 50720778965640661947359868608167765205x 
	    + 139034683020431041768681534273356752666881226589928517025

	Torsion points: 

O, [2013314892874342270, -6714061971527462290551070865], 
[2013314892874342270, 6714061969514147397676728595], 
[4219571262469099750, 378532196865113946618364795], 
[4219571262469099750, -378532201084685209087464545], 
[16407292882481905519/4, -16407292882481905519/8]

	Independent points of infinite order:

P1 = [3677857349830538230, 1496638267684818956449824895]
P2 = [-2481688344656814080, -15799483655317504975060276655]
P3 = [4966812641575544830, 3105078006246811074262449775]
P4 = [1774755331067475970, 7389706168430439065170499935]
P5 = [-2470752106950678338, -15788291918287745124797651729]
P6 = [-7122666454226736410, -11787793306117186923106550405]
P7 = [4029669398668143352, 285364112466778123128583081]
P8 = [4056915139643077540, 189129603388062884343845365]
P9 = [23765627616985836520, 111160110529000075851242636095]
P10 = [2594519488338909190, 4990362998536463281897061215]

Some curves with torsion group Z/6Z and rank = 6, 7, 8 or 9
High rank curves with prescribed torsion Andrej Dujella home page