curve #4399

y² + y = x³ − 6265772149x + 189142776829182

a-invariants: [0, 0, 1, -6265772149, 189142776829182]
c-invariants: [300757063152, -163419359180413464]
rank (lower bound): ≥ 13
torsion subgroup: trivial
conductor (N): 288794189909830943337356727829
discriminant (Δ): 288794189909830943337356727829
Faltings height: 4.4690
naive height: 79.2887
primes of bad reduction: 7221733, 2030164583, 19697711703911
regulator: 16180595760.66353997830871339275072888761285868445526122788625802
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:21:57 UTC
last updated: 2026-10-17 10:21:57 UTC

(-46306, 19493439)
(30635, 5093318)
(34263, 3831681)
(39722, 1711323)
(41743, 571761)
(41922, 380876)
(49353, 343721)
(198473/4, 5089953/8)
(49703, 707678)
(50530, 1245228)
(50699, 1338105)
(54119, 2924510)
(621337/9, 249825122/27)

BASE records/rank_13.md#36 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:21:57 UTC · history