curve #1039

y² + xy = x³ − 3700x + 67232

a-invariants: [1, 0, 0, -3700, 67232]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/8ℤ
conductor (N): 930
discriminant (Δ): 1271193750000
Faltings height: 1.0353
naive height: 36.2619
primes of bad reduction: 2, 3, 5, 31
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:19:41 UTC
last updated: 2026-09-23 15:19:41 UTC

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Commentary

Cremona 930o4 = LMFDB 930.o4: https://www.lmfdb.org/EllipticCurve/Q/930/o/4 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 930, minimal discriminant 1271193750000, torsion ℤ/8ℤ.

last edited by David Renshaw at 2026-09-23 15:19:41 UTC · history