curve #2103

y² = x³ + x² − 6128849579934388849700394598300264320x + 5881777489163488275576335879860916384384125937531642100

a-invariants: [0, 1, 0, -6128849579934388849700394598300264320, 5881777489163488275576335879860916384384125937531642100]
rank (lower bound): ≥ 9
torsion subgroup: ℤ/4ℤ
conductor (N): 23515327282613507747374277141873040
discriminant (Δ): -211301423262209605212875653830013218284989205808242827446296204505105795776524316215718024650184195006400000000
Faltings height: 19.9958
naive height: 265.7461
primes of bad reduction: 2, 3, 5, 7, 11, 13, 17, 59, 79, 83, 101, 107, 193, 223, 1997, 5077, 3156073
regulator: 228104127193.59743382516840268011422085938935805730756923
submitted by: Steps Unbounded
submitted at: 2026-09-26 06:57:14 UTC
last updated: 2026-09-26 06:57:14 UTC

(-12509885466663049621681884/20457529, 283703895906613815253877052850554711210/92529403667)
(-1601091210264339640140/3721, 659389197597632090252392457089350/226981)
(1475814044361057671640060/7789681, 47270657974879640571142897377421818750/21740999671)
(-2925659293587633765411/2116, 333119360394498903986543350723155/97336)
(3105737080500476501685/1156, 116645990414743647076170077465625/39304)
(1248322812833195698233204/93025, 1372516445587636124685215773947221742/28372625)
(317493026012336833241235/89401, 143715791777670747172518162846701400/26730899)
(5789540279542355557285/54756, 29315899680641539946689211450643025/12812904)
(153412506506238149664540/27889, 54835158929428585567396013110762050/4657463)

2-isogenous partner of curve#1107 (Dujella - Peral (2012)). Isogenous to curve#2096 (also ours).

last edited by Steps Unbounded at 2026-09-26 21:45:24 UTC · history