curve #1967

y² + xy = x³ − 58271317151354283937311053275x + 3904697615847155867909269211989524924642641

a-invariants: [1, 0, 0, -58271317151354283937311053275, 3904697615847155867909269211989524924642641]
rank (lower bound): ≥ 20
torsion subgroup: trivial
conductor (N): 70491858126440124163766007320748354376182243115762678122435193952022
discriminant (Δ): 6076670905262771373104154490807181978948826390144191789852723623854608538139681583726592
Faltings height: 15.5514
naive height: 210.3183
primes of bad reduction: 2, 3, 7, 11, 17, 19, 37, 103, 1109, 111769669226473769889459684603729528315132577046225030753
regulator: 6314402073361261218.72321997441188671326591872869994430941489918521705739138590
submitted by: Ritik Jain
submitted at: 2026-09-25 20:07:06 UTC
last updated: 2026-09-25 20:07:06 UTC

(-403344782379695369170/11162281, 91068147368891245599286846950469/37293180821)
(-6300918792667052192117225293890521524/25552132516880922015625, 7396728113284238399002221510460401484809189511910553349/4084517175951017755844944876953125)
(104721023810910767726/534361, -42055703547217594424955182669/390617891)
(1471257456114024974/7225, -426692907859385419203142627/614125)
(172367516686008974/25, -71518662648662367222720467/125)
(-69787648411486, 2762503956707408039321)
(11261326629509882/169, 1238257619736401476242941/2197)
(128618336753764958, 46126825670526644501483633)
(712548960477230, -18004532554579337952319)
(57496259598878, 862778688568214379569)
(203182745995358, -673061070422509725391)
(-248102817384994, 1757841034450654404593)
(196881873106214, 252506598506437570721)
(51905086674656, -1009930378027208863657)
(274561719277837006/3721, -18667096547423481061609067/226981)
(33211460675302142/169, 453985145469149732768933/2197)
(7155900680657617340966/105247081, 547434778051856498490503290310347/1079729803979)
(1574035710980418836801362646/24259969044481, 75295411635717145231254554217019978829761/119491046190417541121)
(-96772283361767320524626112659686/1824818749161741529, 6449711022426843270301605242831489754665605135547/2465071960235337649972701667)
(-43854182585828617303908815590/264665491342849, 12924910844478393167555020508480950164882307/4305721926527266699007)

No commentary yet.