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curve #4484

y² + y = x³ + x² − 275280x + 63307680

a-invariants: [0, 1, 1, -275280, 63307680]
c-invariants: [13213456, -54777116440]
rank (lower bound): ≥ 9
torsion subgroup: trivial
conductor (N): 401344671639500203
discriminant (Δ): -401344671639500203
Faltings height: 2.1038
naive height: 49.4531
primes of bad reduction: 479, 35117, 23859678121
regulator: 1320610.3957472733326553306911234958126244622007978677556
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:31:00 UTC
last updated: 2026-10-17 10:31:00 UTC

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

(-613, 1443)
(-606, 2819)
(-584, 5023)
(-543, 7278)
(-510, 8444)
(-287, 10897)
(-181, 10355)
(582, 10028)
(4420, 291919)

Commentary

BASE records/rank_9.md#29 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:31:00 UTC · history

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