curve #1078

y² + xy + y = x³ − 80216838x + 341267523688

a-invariants: [1, 0, 1, -80216838, 341267523688]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/12ℤ
conductor (N): 125970
discriminant (Δ): -17279040062689488281250000
Faltings height: 3.5566
naive height: 66.6350
primes of bad reduction: 2, 3, 5, 13, 17, 19
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:25:06 UTC
last updated: 2026-09-23 15:25:06 UTC

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Commentary

Cremona 125970bf4 = LMFDB 125970.w7: https://www.lmfdb.org/EllipticCurve/Q/125970/w/7 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 125970, minimal discriminant -17279040062689488281250000, torsion ℤ/12ℤ.

last edited by David Renshaw at 2026-09-23 15:25:06 UTC · history