curve #998

y² + xy = x³ − 828x + 9072

a-invariants: [1, 0, 0, -828, 9072]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/10ℤ
conductor (N): 150
discriminant (Δ): 236196000
Faltings height: 0.4660
naive height: 31.7707
primes of bad reduction: 2, 3, 5
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:12:14 UTC
last updated: 2026-09-23 15:12:14 UTC

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Commentary

Cremona 150a4 = LMFDB 150.c1: https://www.lmfdb.org/EllipticCurve/Q/150/c/1 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 150, minimal discriminant 236196000, torsion ℤ/10ℤ.

last edited by David Renshaw at 2026-09-23 15:12:14 UTC · history