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curve #4492

y² + xy + y = x³ − x² + 1149x + 96570

a-invariants: [1, -1, 1, 1149, 96570]
c-invariants: [-55167, -83684961]
rank (lower bound): ≥ 7
torsion subgroup: trivial
conductor (N): 4149923512103
discriminant (Δ): -4149923512103
Faltings height: 1.1014
naive height: 36.4851
primes of bad reduction: 4149923512103
regulator: 2685.781984260017880394349545707520413147127953550015
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:31:20 UTC
last updated: 2026-10-17 10:31:20 UTC

Witness: 7 independent points log in to add more points →

(-35, 129)
(-22, 256)
(-20, 265)
(-19, 269)
(14, 332)
(18, 341)
(44, 458)

Commentary

BASE records/rank_7.md#15 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:31:20 UTC · history

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