curve #1065

y² + xy = x³ − 433978x + 93753572

a-invariants: [1, 0, 0, -433978, 93753572]
rank (lower bound): ≥ 0
torsion subgroup: ℤ/10ℤ
conductor (N): 11550
discriminant (Δ): 1430887068205056000
Faltings height: 2.2064
naive height: 50.5559
primes of bad reduction: 2, 3, 5, 7, 11
regulator: 1
submitted by: David Renshaw
submitted at: 2026-09-23 15:23:58 UTC
last updated: 2026-09-23 15:23:58 UTC

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Commentary

Cremona 11550cu3 = LMFDB 11550.cu2: https://www.lmfdb.org/EllipticCurve/Q/11550/cu/2 Mordell–Weil rank exactly 0 (Cremona's tables). Conductor 11550, minimal discriminant 1430887068205056000, torsion ℤ/10ℤ.

last edited by David Renshaw at 2026-09-23 15:23:58 UTC · history