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curve #2074

y² + xy + y = x³ − x² − 626x + 6180

a-invariants: [1, -1, 1, -626, 6180]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/2ℤ
conductor (N): 117
discriminant (Δ): 767637
Faltings height: 0.2309
naive height: 30.9302
primes of bad reduction: 3, 13
regulator: 1.130335626179551006648752509880637923980
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:14:10 UTC
last updated: 2026-09-26 05:14:10 UTC

Witness: 1 independent point log in to add more points →

(15, -6)

Commentary

2-isogenous partner of curve#1138 (David Renshaw); 4-isogenous partner of curve#1110 (David Renshaw), curve#2575 (Natanael Wildner Fraga).

last edited by Steps Unbounded at 2026-09-26 21:58:00 UTC · history

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