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curve #4426

y² + y = x³ − 1549597x + 742096566

a-invariants: [0, 0, 1, -1549597, 742096566]
c-invariants: [74380656, -641171433240]
rank (lower bound): ≥ 9
torsion subgroup: trivial
conductor (N): 236592996231990997
discriminant (Δ): 236592996231990997
Faltings height: 2.2797
naive height: 54.3741
primes of bad reduction: 151, 1566841034648947
regulator: 91832.190975682681820871356069394132404289765822606340432
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:23:25 UTC
last updated: 2026-10-17 10:23:25 UTC

Witness: 9 independent points log in to add more points →

(772, 2430)
(666, 2339)
(605, 5102)
(279, -18207)
(733, 273)
(774, 2528)
(703, -399)
(766, 2135)
(699, 678)

Commentary

BASE records/rank_9.md#38 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:23:25 UTC · history

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