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curve #1770

y² + xy + y = x³ + x² − 180x + 1525

a-invariants: [1, 1, 1, -180, 1525]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/5ℤ
conductor (N): 2290
discriminant (Δ): -732800000
Faltings height: 0.3954
naive height: 28.2789
primes of bad reduction: 2, 5, 229
regulator: 1.325541562957790014181918845504292491331
submitted by: hdeping
submitted at: 2026-09-25 14:24:26 UTC
last updated: 2026-09-25 14:24:26 UTC

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

(-17, 13)

Commentary

Specialization t=-4/5 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 08:43:32 UTC · history

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