curve #4398

y² + xy + y = x³ − 6489409453x + 202730435387172

a-invariants: [1, 0, 1, -6489409453, 202730435387172]
c-invariants: [311491653721, -175159563411997405]
rank (lower bound): ≥ 13
torsion subgroup: trivial
conductor (N): 132452629998841421797163345894
discriminant (Δ): -264905259997682843594326691788
Faltings height: 4.4700
naive height: 79.4089
primes of bad reduction: 2, 151, 859, 510576097259409222941983
regulator: 1499809581.232613874981494064699434739436495062066169973577653699
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:21:54 UTC
last updated: 2026-10-17 10:21:54 UTC

(40159, 2604588)
(40170, 2601123)
(1191, 13963760)
(45438, -1317709)
(46769, 1212522)
(53105, -2832732)
(8362, 12204451)
(63825, 6935466)
(397012, -245561184)
(51615, -2325412)
(55444, 3628683)
(176375/4, -12356847/8)
(15781, -10218240)

BASE records/rank_13.md#35 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:21:54 UTC · history