curve #1072

y² + xy = x³ − 167843570x + 843125287812

a-invariants: [1, 0, 0, -167843570, 843125287812]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/12ℤ
conductor (N): 62790
discriminant (Δ): -4484275679769919488000000
Faltings height: 3.5554
naive height: 68.4439
primes of bad reduction: 2, 3, 5, 7, 13, 23
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:25:03 UTC
last updated: 2026-09-23 15:25:03 UTC

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Commentary

Cremona 62790bt1 = LMFDB 62790.bu7: https://www.lmfdb.org/EllipticCurve/Q/62790/bu/7 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 62790, minimal discriminant -4484275679769919488000000, torsion ℤ/12ℤ.

last edited by David Renshaw at 2026-09-23 15:25:03 UTC · history