curve #1910

y² + xy = x³ − 131191625735555376835902425161835407770610x + 9527282740506020999783481471335892905756009749531992669364100

a-invariants: [1, 0, 0, -131191625735555376835902425161835407770610, 9527282740506020999783481471335892905756009749531992669364100]
rank (lower bound): ≥ 9
torsion subgroup: ℤ/6ℤ
conductor (N): 849008053912545857392884883884697738710
discriminant (Δ): 105297879685619658391314765082075551780868014199093925518430036264076902499914763477877099137518784479428673054343168000000000
Faltings height: 22.6864
naive height: 295.6460
primes of bad reduction: 2, 3, 5, 7, 11, 19, 23, 29, 31, 41, 67, 73, 131, 137, 181, 271, 373, 509, 1123, 3319, 7489
regulator: 1659833698.7953754263289645525447058983933456855978596129
submitted by: dujella
submitted at: 2026-09-25 18:20:19 UTC
last updated: 2026-09-25 18:20:19 UTC

(61211304441831519620, 1313856981979888966235357065790)
(72281378181638789320, 649778688229362276157348444090)
(-352880613877821574780, -3446723346615340585312024975810)
(420294701930403826820, 5350906766255423009742764406590)
(15898354312641568820, 2728657219706761181086299744590)
(1032983459250642436820, 31245135458563749975261525516590)
(-58698985974962247340, -4126238798011380247851183861250)
(18022027324314945409460, 2418900981656785462501766758989950)
(12478365919747619890820, 1393331990648175340750274739606590)

found by Voznyy (2020)

last edited by dujella at 2026-09-25 18:20:19 UTC · history