curve #4469

y² + xy = x³ − x² − 348460744x + 2408671455724

a-invariants: [1, -1, 0, -348460744, 2408671455724]
c-invariants: [16726115721, -2081016870224805]
rank (lower bound): ≥ 12
torsion subgroup: trivial
conductor (N): 100901682201334257815641106
discriminant (Δ): 201803364402668515631282212
Faltings height: 3.8112
naive height: 70.6207
primes of bad reduction: 2, 303021893, 166492396312325621
regulator: 849802178.26212433314373017753548467448232518666025528272606179
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:30:22 UTC
last updated: 2026-10-17 10:30:22 UTC

(-9412, 2208010)
(-3587, 1902435)
(-1438, 1705648)
(-46, 1557168)
(1203, 1410502)
(3106, 1163054)
(4572, 952210)
(5180, 859162)
(12493, 65027)
(12911, 242050)
(14098, 538800)
(98641, 30410660)

BASE records/rank_12.md#38 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:30:22 UTC · history