curve #960

y² + xy + y = x³ − 6x + 4

a-invariants: [1, 0, 1, -6, 4]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/6ℤ
conductor (N): 66
discriminant (Δ): 1188
Faltings height: -0.6594
naive height: 16.7392
primes of bad reduction: 2, 3, 11
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:06:49 UTC
last updated: 2026-09-23 15:06:49 UTC

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Commentary

Cremona 66a1 = LMFDB 66.a3: https://www.lmfdb.org/EllipticCurve/Q/66/a/3 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 66, minimal discriminant 1188, torsion ℤ/6ℤ.

last edited by David Renshaw at 2026-09-23 15:06:49 UTC · history