curve #5482

y² + y = x³ − 393816647797

a-invariants: [0, 0, 1, 0, -393816647797]
c-invariants: [0, 340257583696392]
rank (lower bound): ≥ 9
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 30635368312468036865049 ☆ record for Mordell curves, rank ≥ 9
discriminant (Δ): -66999550499367596623862163
Faltings height: 3.6344
naive height: 66.9214
primes of bad reduction: 3, 71, 1499, 548189
regulator: 17780973.253825397910670588504467079834174442066509617633
submitted by: Daniel Błażewicz
submitted at: 2026-10-22 09:55:34 UTC
last updated: 2026-10-22 09:55:34 UTC

(7333, 22359)
(7899, 314698)
(8223, 402745)
(9843, 748210)
(11887, 1133942)
(39219, 7741453)
(123243, 43261114)
(215637, 100132807)
(188889/25, 24207287/125)

3-isogeny of curve#5480

last edited by Daniel Błażewicz at 2026-10-22 09:57:45 UTC · history