curve #902

y² = x³ − x² − 384x − 2772

a-invariants: [0, -1, 0, -384, -2772]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/2ℤ
conductor (N): 24
discriminant (Δ): 18432
Faltings height: 0.0478
naive height: 29.4681
primes of bad reduction: 2, 3
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 14:58:13 UTC
last updated: 2026-09-23 14:58:13 UTC

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Commentary

Cremona 24a5 = LMFDB 24.a1: https://www.lmfdb.org/EllipticCurve/Q/24/a/1 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 24, minimal discriminant 18432, torsion ℤ/2ℤ.

last edited by David Renshaw at 2026-09-23 14:58:13 UTC · history