curve #926

y² + y = x³ + x² − 1873x − 31833

a-invariants: [0, 1, 1, -1873, -31833]
rank (lower bound): ≥ 0
torsion subgroup: trivial
conductor (N): 37
discriminant (Δ): 37
Faltings height: 0.2221
naive height: 34.2200
primes of bad reduction: 37
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:01:28 UTC
last updated: 2026-09-23 15:01:28 UTC

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Commentary

Cremona 37b2 = LMFDB 37.b1: https://www.lmfdb.org/EllipticCurve/Q/37/b/1 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 37, minimal discriminant 37, trivial torsion.

last edited by David Renshaw at 2026-09-23 15:01:28 UTC · history