curve #982

y² + xy + y = x³ − x² − 1

a-invariants: [1, -1, 1, 0, -1]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/2ℤ
conductor (N): 94
discriminant (Δ): -188
Faltings height: -0.8840
naive height: 12.6807
primes of bad reduction: 2, 47
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:10:04 UTC
last updated: 2026-09-23 15:10:04 UTC

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Commentary

Cremona 94a1 = LMFDB 94.a2: https://www.lmfdb.org/EllipticCurve/Q/94/a/2 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 94, minimal discriminant -188, torsion ℤ/2ℤ.

last edited by David Renshaw at 2026-09-23 15:10:04 UTC · history