curve #884

y² + xy + y = x³ + x² − 110x − 880

a-invariants: [1, 1, 1, -110, -880]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/2ℤ
conductor (N): 15
discriminant (Δ): -215233605
Faltings height: 0.2909
naive height: 26.9756
primes of bad reduction: 3, 5
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 14:55:01 UTC
last updated: 2026-09-23 14:55:01 UTC

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Commentary

Cremona 15a6 = LMFDB 15.a3: https://www.lmfdb.org/EllipticCurve/Q/15/a/3 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 15, minimal discriminant -215233605, torsion ℤ/2ℤ.

last edited by David Renshaw at 2026-09-23 14:55:01 UTC · history