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curve #4443

y² + xy = x³ − x² − 4564x + 151684

a-invariants: [1, -1, 0, -4564, 151684]
c-invariants: [219081, -130069125]
rank (lower bound): ≥ 7
torsion subgroup: trivial
conductor (N): 1852679237314
discriminant (Δ): -3705358474628
Faltings height: 1.1228
naive height: 37.3672
primes of bad reduction: 2, 926339618657
regulator: 8595.996637038621479339105643827547944195065454280373
submitted by: Volkan Dagli
submitted at: 2026-10-17 10:24:11 UTC
last updated: 2026-10-17 10:24:11 UTC

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

(-80, 42)
(-79, 160)
(-74, 320)
(-63, 463)
(-31, 528)
(-10, 448)
(277, 4343)

Commentary

BASE records/rank_7.md#29 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.

last edited by Volkan Dagli at 2026-10-17 10:24:11 UTC · history

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