curve #1225

y² + xy = x³ + x² − 2785429754167x + 905599396205211145

a-invariants: [1, 1, 0, -2785429754167, 905599396205211145]
rank (lower bound): ≥ 15
torsion subgroup: trivial
conductor (N): 15588198294282902850412499840899939902
discriminant (Δ): 1028821087422671588127224989499396033532
Faltings height: 6.1821
naive height: 97.5799
primes of bad reduction: 2, 3, 11, 2719, 7771063, 11177954791249279216330151
regulator: 314302644778.50811826244261888794980003490000169785060287870985354829
submitted by: Michael Rubinstein
submitted at: 2026-09-24 14:35:30 UTC
last updated: 2026-09-24 14:35:30 UTC

(1907988, -1593722545)
(331985, -132332725)
(-1722314, 771558835)
(4545766, -9067446341)
(1594136, 717797435)
(339014, 16044779)
(9030796, 26683686439)
(315848, 239291627)
(3251293, 5118772540)
(-1253753, 1558533232)
(-1765946, 564180367)
(336187, -84848024)
(-17463, -976841324)
(-1752167, 638710195)
(3210531, 5003939845)

From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 14:35:30 UTC · history