curve #941

y² = x³ + x² + 16x + 180

a-invariants: [0, 1, 0, 16, 180]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/8ℤ
conductor (N): 48
discriminant (Δ): -13436928
Faltings height: 0.0478
naive height: 23.8498
primes of bad reduction: 2, 3
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:03:37 UTC
last updated: 2026-09-23 15:03:37 UTC

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Commentary

Cremona 48a6 = LMFDB 48.a6: https://www.lmfdb.org/EllipticCurve/Q/48/a/6 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 48, minimal discriminant -13436928, torsion ℤ/8ℤ.

last edited by David Renshaw at 2026-09-23 15:03:37 UTC · history