curve #1074

y² + xy = x³ − 1577130x + 794918052

a-invariants: [1, 0, 0, -1577130, 794918052]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/9ℤ
conductor (N): 92910
discriminant (Δ): -22005928611000000000
Faltings height: 2.4720
naive height: 54.5110
primes of bad reduction: 2, 3, 5, 19, 163
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:25:04 UTC
last updated: 2026-09-23 15:25:04 UTC

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Commentary

Cremona 92910bi1 = LMFDB 92910.bd2: https://www.lmfdb.org/EllipticCurve/Q/92910/bd/2 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 92910, minimal discriminant -22005928611000000000, torsion ℤ/9ℤ.

last edited by David Renshaw at 2026-09-23 15:25:04 UTC · history