curve #925

y² + y = x³ + x² − 23x − 50

a-invariants: [0, 1, 1, -23, -50]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/3ℤ
conductor (N): 37
discriminant (Δ): 50653
Faltings height: -0.3272
naive height: 21.0633
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 37b1 = LMFDB 37.b2: https://www.lmfdb.org/EllipticCurve/Q/37/b/2 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 37, minimal discriminant 50653, torsion ℤ/3ℤ.

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