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curve #2056

y² + xy = x³ + x² + 168x + 210

a-invariants: [1, 1, 0, 168, 210]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/2ℤ
conductor (N): 113946
discriminant (Δ): -309135498
Faltings height: 0.3184
naive height: 26.9762
primes of bad reduction: 2, 3, 7, 2713
regulator: 15.404749664620176594613766369184369194240593
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:10:11 UTC
last updated: 2026-09-26 05:10:11 UTC

Witness: 3 independent points log in to add more points →

(-1, 7)
(1, 19)
(11, -65)

Commentary

2-isogenous partner of curve#1129 (David Renshaw).

last edited by Steps Unbounded at 2026-09-26 21:53:20 UTC · history

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