curve #1196

y² + xy + y = x³ − 12837942817555687537193x + 559879351290579624180331147258556

a-invariants: [1, 0, 1, -12837942817555687537193, 559879351290579624180331147258556]
rank (lower bound): ≥ 10
torsion subgroup: ℤ/3ℤ
conductor (N): 184912537441941935444826513870
discriminant (Δ): -1984183339015322164648119150760854348577435015186134660281250000
Faltings height: 11.3143
naive height: 164.3337
primes of bad reduction: 2, 3, 5, 7, 13, 19, 23, 73, 199, 241, 28669, 211747, 1041841
regulator: 20759809.32412428739605202975668977964614636553209746090558
submitted by: dujella
submitted at: 2026-09-23 22:07:26 UTC
last updated: 2026-09-23 22:07:26 UTC

(66952731255, 686185706907982)
(-17480766810, -27909751417746218)
(57434291655, 3464011425623482)
(52042038360, 5719758035573107)
(65744596086, 158922899506819)
(65283584535, 86943389703982)
(12312387035, 20091786331163982)
(-10106969340, -26241176521229768)
(65527769535, 80802462168982)
(86318162235, 9740247026507782)

found by Eroshkin - Siddiq - Voznyy (2023)

last edited by dujella at 2026-09-23 22:07:26 UTC · history