curve #1015

y² + xy = x³ − 141x + 657

a-invariants: [1, 0, 0, -141, 657]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/7ℤ
conductor (N): 294
discriminant (Δ): -13716864
Faltings height: 0.1345
naive height: 26.5340
primes of bad reduction: 2, 3, 7
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:15:26 UTC
last updated: 2026-09-23 15:15:26 UTC

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Commentary

Cremona 294b2 = LMFDB 294.f1: https://www.lmfdb.org/EllipticCurve/Q/294/f/1 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 294, minimal discriminant -13716864, torsion ℤ/7ℤ.

last edited by David Renshaw at 2026-09-23 15:15:26 UTC · history