curve #820

y² = x³ + x² − 16148528099974968176x + 25084698427586616860050779940

a-invariants: [0, 1, 0, -16148528099974968176, 25084698427586616860050779940]
rank (lower bound): ≥ 16
torsion subgroup: trivial
conductor (N): 16591477534319622532232861205601203241572748483166320
discriminant (Δ): -2320152218399256014907443310991272261301533147885978188800
Faltings height: 9.8550
naive height: 144.3073
primes of bad reduction: 2, 5, 19, 23, 191119, 107964738942208044636839045282651599722791
regulator: 15473901181968759.91751802372011887936949275961541351883465674370783053
submitted by: y011d4
submitted at: 2026-09-22 06:48:07 UTC
last updated: 2026-09-22 06:48:07 UTC

(71430580645947/28561, -89125319724381228640/4826809)
(21733467235078/9, -101319473460652757360/27)
(2199392702, -14384993856960)
(17128317665914/81, -70875184959950183684/729)
(3162314906, 75112324600356)
(568013280760/169, -205825951114862350/2197)
(21799453467, 3167413523449820)
(87568558597/36, -3028463293456385/216)
(25793778104, 4095075520192854)
(7743754669/4, -262634370717947/8)
(2439448440, 14426769410390)
(-86370648758/81, -147775960740627260/729)
(1406313466584894/801025, 33203721230224213052128/716917375)
(110001545689254/44521, 153997253664826227424/9393931)
(30625663237914/11881, 31356403276829833484/1295029)
(2054221834, 24093585996196)

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