curve #1023

y² = x³ + x² − 6x

a-invariants: [0, 1, 0, -6, 0]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/2ℤ × ℤ/2ℤ
conductor (N): 480
discriminant (Δ): 14400
Faltings height: -0.5098
naive height: 17.1511
primes of bad reduction: 2, 3, 5
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:17:32 UTC
last updated: 2026-09-23 15:17:32 UTC

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Commentary

Cremona 480c1 = LMFDB 480.e3: https://www.lmfdb.org/EllipticCurve/Q/480/e/3 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 480, minimal discriminant 14400, torsion ℤ/2ℤ × ℤ/2ℤ.

last edited by David Renshaw at 2026-09-23 15:17:32 UTC · history