curve #904

y² + xy + y = x³ − 460x − 3830

a-invariants: [1, 0, 1, -460, -3830]
rank (lower bound): ≥ 0
torsion subgroup: trivial
conductor (N): 26
discriminant (Δ): -6656
Faltings height: 0.0544
naive height: 30.0042
primes of bad reduction: 2, 13
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 14:58:14 UTC
last updated: 2026-09-23 14:58:14 UTC

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Commentary

Cremona 26a2 = LMFDB 26.a1: https://www.lmfdb.org/EllipticCurve/Q/26/a/1 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 26, minimal discriminant -6656, trivial torsion.

last edited by David Renshaw at 2026-09-23 14:58:14 UTC · history