curve #997

y² + xy = x³ − 28x + 272

a-invariants: [1, 0, 0, -28, 272]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/10ℤ
conductor (N): 150
discriminant (Δ): -31104000
Faltings height: 0.1194
naive height: 24.7518
primes of bad reduction: 2, 3, 5
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:12:13 UTC
last updated: 2026-09-23 15:12:13 UTC

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Commentary

Cremona 150a3 = LMFDB 150.c3: https://www.lmfdb.org/EllipticCurve/Q/150/c/3 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 150, minimal discriminant -31104000, torsion ℤ/10ℤ.

last edited by David Renshaw at 2026-09-23 15:12:13 UTC · history