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curve #4479

y² + y = x³ + x² − 2719370x + 1634287200

a-invariants: [0, 1, 1, -2719370, 1634287200]
c-invariants: [130529776, -1412807319640]
rank (lower bound): ≥ 10
torsion subgroup: trivial
conductor (N): 131912458262686619717
discriminant (Δ): 131912458262686619717
Faltings height: 2.6138
naive height: 56.0613
primes of bad reduction: 7123597031, 18517675507
regulator: 1060558.765816982738573366222420523416722943052687669030023
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:30:48 UTC
last updated: 2026-10-17 10:30:48 UTC

Witness: 10 independent points log in to add more points →

(-1854, 17511)
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(707, 8098)
(747, 4506)
(1125, 299)
(1410, 24600)
(1479, 29150)

Commentary

BASE records/rank_10.md#29 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:30:48 UTC · history

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