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curve #4488

y² + y = x³ + x² − 117840x + 15595860

a-invariants: [0, 1, 1, -117840, 15595860]
c-invariants: [5656336, -13508761240]
rank (lower bound): ≥ 8
torsion subgroup: trivial
conductor (N): 877917620938123
discriminant (Δ): -877917620938123
Faltings height: 1.7161
naive height: 46.6532
primes of bad reduction: 10957, 59921, 1337159
regulator: 112545.732788891288513273588298133789440556164666858815
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:31:10 UTC
last updated: 2026-10-17 10:31:10 UTC

Witness: 8 independent points log in to add more points →

(-394, 1008)
(-379, 2441)
(-294, 4991)
(-268, 5291)
(-195, 5585)
(-161, 5515)
(-18, 4208)
(288, 2372)

Commentary

BASE records/rank_8.md#40 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

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

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