curve #924

y² = x³ + 1

a-invariants: [0, 0, 0, 0, 1]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/6ℤ
conductor (N): 36
discriminant (Δ): -432
Faltings height: -0.8154
naive height: 13.5231
primes of bad reduction: 2, 3
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 36a1 = LMFDB 36.a4: https://www.lmfdb.org/EllipticCurve/Q/36/a/4 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 36, minimal discriminant -432, torsion ℤ/6ℤ.

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