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curve #1746

y² + xy + y = x³ + x² − 230x + 1251

a-invariants: [1, 1, 1, -230, 1251]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/5ℤ
conductor (N): 302
discriminant (Δ): -4947968
Faltings height: 0.1451
naive height: 27.9344
primes of bad reduction: 2, 151
regulator: 1.155798972133439051127164489667020635657
submitted by: hdeping
submitted at: 2026-09-25 10:42:51 UTC
last updated: 2026-09-25 10:42:51 UTC

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

(-15, 47)

Commentary

Specialization t=-1/8 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 08:43:16 UTC · history

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