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curve #4441

y² + y = x³ − 3577x + 21666

a-invariants: [0, 0, 1, -3577, 21666]
c-invariants: [171696, -18719640]
rank (lower bound): ≥ 7
torsion subgroup: trivial
conductor (N): 2726325306037
discriminant (Δ): 2726325306037
Faltings height: 1.0773
naive height: 36.1604
primes of bad reduction: 144511, 18865867
regulator: 1357.565444382373102813452969981267145302308514193592
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:24:05 UTC
last updated: 2026-10-17 10:24:05 UTC

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

(-62, 71)
(-38, 320)
(-9, 230)
(1, 134)
(2, 120)
(58, 96)
(76, 434)

Commentary

BASE records/rank_7.md#13 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:24:05 UTC · history

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