curve #931

y² + xy + y = x³ + x² − 70x − 279

a-invariants: [1, 1, 1, -70, -279]
rank (lower bound): ≥ 0
torsion subgroup: trivial
conductor (N): 38
discriminant (Δ): -4952198
Faltings height: 0.0178
naive height: 24.5632
primes of bad reduction: 2, 19
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:02:31 UTC
last updated: 2026-09-23 15:02:31 UTC

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Commentary

Cremona 38b2 = LMFDB 38.b1: https://www.lmfdb.org/EllipticCurve/Q/38/b/1 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 38, minimal discriminant -4952198, trivial torsion.

last edited by David Renshaw at 2026-09-23 15:02:31 UTC · history