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curve #1771

y² + xy + y = x³ + x² − 265x + 1623

a-invariants: [1, 1, 1, -265, 1623]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/5ℤ
conductor (N): 2786
discriminant (Δ): -107026976
Faltings height: 0.3005
naive height: 28.4391
primes of bad reduction: 2, 7, 199
regulator: 2.306672711856568817265975608524613770078
submitted by: hdeping
submitted at: 2026-09-25 14:24:34 UTC
last updated: 2026-09-25 14:24:34 UTC

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

(17, 40)

Commentary

Specialization t=-2/7 of the Kubert-Tate torsion Z/5 universal family y^2+(t+1)xy+ty=x^3+tx^2.

last edited by hdeping at 2026-09-27 08:43:49 UTC · history

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