curve #2096

y² = x³ + x² − 98256090198870335656623263681523631840x + 374875736205154246432711414756251471982478353567014420788

a-invariants: [0, 1, 0, -98256090198870335656623263681523631840, 374875736205154246432711414756251471982478353567014420788]
rank (lower bound): ≥ 9
torsion subgroup: ℤ/4ℤ
conductor (N): 23515327282613507747374277141873040
discriminant (Δ): 485622882552660085321459001065903026614520512211150998954504401434981013670572464344310103313510400
Faltings height: 19.9958
naive height: 274.0555
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 06:56:15 UTC
last updated: 2026-09-26 06:56:15 UTC

(7579775168110770548, -8099223583573017059203481442)
(7150276346361836996, -6155144007976217634125913090)
(36936919778769189278828/5929, -973000338253205741084780283510570/456533)
(11081591479749891023, -25433832214927404027671553642)
(5722940071098898607, -4702753662804920701170)
(25690273089254691973748/4489, -55740276420921398918541930/300763)
(366268121767801698929/64, -989528339162698599146025/512)
(1688368500100836042639383431/267289801, -10934020991788119356755771237627455311250/4369920956549)
(23358455068819570422623780684/4081548769, -184796979038437382220340272472249950/260757906205103)

2-isogenous partner of curve#1107 (Dujella - Peral (2012)). Isogenous to curve#2103 (also ours).

last edited by Steps Unbounded at 2026-09-26 21:45:37 UTC · history