curve #3025

y² + xy + y = x³ − 234x + 1352

a-invariants: [1, 0, 1, -234, 1352]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/6ℤ
conductor (N): 910
discriminant (Δ): 2153060
Faltings height: 0.1148
naive height: 27.9734
primes of bad reduction: 2, 5, 7, 13
regulator: 1.518702186726851601372683642977360444512
submitted by: David Renshaw
submitted at: 2026-09-26 20:33:50 UTC
last updated: 2026-09-26 20:33:50 UTC

Witness: 1 independent point log in to add more points →

(8, -1)

Commentary

Cremona 910c1 = LMFDB 910.a4: https://www.lmfdb.org/EllipticCurve/Q/910/a/4 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 910, minimal discriminant 2153060, torsion ℤ/6ℤ. The witness is the generator from Cremona's tables.

last edited by David Renshaw at 2026-09-26 20:33:50 UTC · history