curve #4465

y² + xy + y = x³ − 2977992463x + 43200225886902

a-invariants: [1, 0, 1, -2977992463, 43200225886902]
c-invariants: [142943638201, -37325209581740845]
rank (lower bound): ≥ 13
torsion subgroup: trivial
conductor (N): 442007947048813769354369373646
discriminant (Δ): 884015894097627538708738747292
Faltings height: 4.4513
naive height: 77.0571
primes of bad reduction: 2, 221003973524406884677184686823
regulator: 1974629283.323145714277847934705298475057585197071783293917190816
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:30:09 UTC
last updated: 2026-10-17 10:30:09 UTC

(-60711, 507738)
(-60033, 2401166)
(-21051, 9837092)
(-1035, 6803556)
(1288, 6273645)
(8191, 4395570)
(44911, 181270)
(45642, 1513496)
(214359/4, 48784185/8)
(55081, 6775498)
(99865, 27185356)
(103759, 29124678)
(110785, 32701068)

BASE records/rank_13.md#20 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:30:10 UTC · history