curve #928

y² + xy + y = x³ − 86x − 2456

a-invariants: [1, 0, 1, -86, -2456]
rank (lower bound): ≥ 0
torsion subgroup: trivial
conductor (N): 38
discriminant (Δ): -2550136832
Faltings height: 0.4852
naive height: 29.1297
primes of bad reduction: 2, 19
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:01:29 UTC
last updated: 2026-09-23 15:01:29 UTC

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Commentary

Cremona 38a2 = LMFDB 38.a1: https://www.lmfdb.org/EllipticCurve/Q/38/a/1 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 38, minimal discriminant -2550136832, trivial torsion.

last edited by David Renshaw at 2026-09-23 15:01:29 UTC · history