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curve #2060

y² + xy + y = x³ + x² − 125088518240x − 2591233519185295

a-invariants: [1, 1, 1, -125088518240, -2591233519185295]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/2ℤ × ℤ/4ℤ
conductor (N): 779644110
discriminant (Δ): 122365199325641791048222978937610000
Faltings height: 5.4227
naive height: 88.2705
primes of bad reduction: 2, 3, 5, 7, 23, 31, 41, 127
regulator: 583.52215913497151322257482085576370374682245
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:11:11 UTC
last updated: 2026-09-26 05:11:11 UTC

Witness: 3 independent points log in to add more points →

(-1038737/36, 6813200113/216)
(-15635373/49, -23793726251/343)
(-10592306027/47961, -1253230947199933/10503459)

Commentary

2-isogenous partner of curve#1189 (David Renshaw).

last edited by Steps Unbounded at 2026-09-26 21:54:12 UTC · history

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