curve #4899

y² + xy + y = x³ − x² − 13629998356645502x + 611263221986306397530125

a-invariants: [1, -1, 1, -13629998356645502, 611263221986306397530125]
c-invariants: [654239921118984081, -528131420852089082430599865]
rank (lower bound): ≥ 11
torsion subgroup: ℤ/2ℤ
conductor (N): 2279229518497181053800334368402
discriminant (Δ): 643190719601473942740428799660699354451911708672
Faltings height: 8.0547
naive height: 123.0668
primes of bad reduction: 2, 3, 23, 29, 31, 37, 41, 61, 193, 281, 8893, 18181, 203977
regulator: 75169454.3275528582697670855088835543804524582785751883613086
submitted by: Ritik Jain
submitted at: 2026-10-20 22:32:10 UTC
last updated: 2026-10-20 22:32:10 UTC

(70999105, 37951324715)
(195859417, 2335505925827)
(-126615479, 554318232707)
(56753551, 143197477667)
(171666793, -1825018039981)
(71007283, 38111838497)
(89220385, 324622146059)
(1612529137, 64587209119667)
(70290841, 22153181411)
(-3286198799/25, -45349170517289/125)
(-24020483, 961678761527)

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