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curve #1741

y² + xy + y = x³ + x² + 10x + 147

a-invariants: [1, 1, 1, 10, 147]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/5ℤ
conductor (N): 890
discriminant (Δ): -8900000
Faltings height: 0.0130
naive height: 23.4491
primes of bad reduction: 2, 5, 89
regulator: 1.593046193446577688005431720125350221147
submitted by: hdeping
submitted at: 2026-09-25 10:42:08 UTC
last updated: 2026-09-25 10:42:08 UTC

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

(-5, 3)

Commentary

Specialization t=-5/2 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 08:40:23 UTC · history

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