curve #1019

y² + xy = x³ − 5x + 33

a-invariants: [1, 0, 0, -5, 33]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/5ℤ
conductor (N): 366
discriminant (Δ): -474336
Faltings height: -0.2306
naive height: 20.5413
primes of bad reduction: 2, 3, 61
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:16:29 UTC
last updated: 2026-09-23 15:16:29 UTC

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Commentary

Cremona 366b1 = LMFDB 366.f2: https://www.lmfdb.org/EllipticCurve/Q/366/f/2 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 366, minimal discriminant -474336, torsion ℤ/5ℤ.

last edited by David Renshaw at 2026-09-23 15:16:29 UTC · history