curve #4145

y² + xy + y = x³ + x² − 482508998317618763x + 152485429939740126379633448

a-invariants: [1, 1, 1, -482508998317618763, 152485429939740126379633448]
c-invariants: [23160431919245700625, -131747411641638708586346053913]
rank (lower bound): ≥ 16
torsion subgroup: trivial
conductor (N): 90913527097607174826995603399394920385115908463689
discriminant (Δ): -2855321145554548539791450915964796264535335337119080423
Faltings height: 9.1687
naive height: 134.1014
primes of bad reduction: 3, 19, 29, 566617, 1736617, 55893590020118480971264544214389317
regulator: 88317114181296247.99336459871259010691305629023496927512707871699311543
submitted by: Andrii Prokhorenkov
submitted at: 2026-10-11 01:07:40 UTC
last updated: 2026-10-11 01:07:40 UTC

(6146683273497/26569, 31599159830594720857/4330747)
(-279012063, -16290680146889)
(639749638, 10277663825906)
(-11327824128/49, -5441422219832360/343)
(5816609833/9, 283933267131757/27)
(139528193182/169, -39110235840516190/2197)
(65234037, 11013006119341)
(513362037, -6330766734179)
(-756535692, 9193872751036)
(357452958, -5068103484470)
(-800647563, 5056165026301)
(-817572592, 697294596280)
(-764226463, 8654349851791)
(94135187537, 28881217427955691)
(5255968109/25, 970939781555017/125)
(74587675569/1681, 789327106756165199/68921)

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