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curve #1772

y² + y = x³ + x² − 280x + 1684

a-invariants: [0, 1, 1, -280, 1684]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/5ℤ
conductor (N): 885
discriminant (Δ): 44803125
Faltings height: 0.2628
naive height: 28.5215
primes of bad reduction: 3, 5, 59
regulator: 0.7450748462934358137673195738276192820718
submitted by: hdeping
submitted at: 2026-09-25 14:24:42 UTC
last updated: 2026-09-25 14:24:42 UTC

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

(-19, 22)

Commentary

Specialization t=-15/1 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 08:44:05 UTC · history

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