curve #4407

y² + y = x³ − 291185797x + 1832954911656

a-invariants: [0, 0, 1, -291185797, 1832954911656]
c-invariants: [13976918256, -1583673043671000]
rank (lower bound): ≥ 12
torsion subgroup: trivial
conductor (N): 128721058559431142077373797
discriminant (Δ): 128721058559431142077373797
Faltings height: 3.7707
naive height: 70.0820
primes of bad reduction: 128721058559431142077373797
regulator: 125829235.70372246432353436756664596834481066903135377212280900
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:22:35 UTC
last updated: 2026-10-17 10:22:35 UTC

(-13814, 1794245)
(-2181, 1567691)
(6529, 458388)
(8114, 66893)
(8161, 11220)
(11451, 10164)
(11562, 108954)
(11772, 190995)
(11822, 206870)
(12013, 261843)
(20928, 2214743)
(23057, 2716020)

BASE records/rank_12.md#24 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:22:35 UTC · history