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curve #2063

y² + xy + y = x³ + x² − 26x + 38

a-invariants: [1, 1, 1, -26, 38]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/2ℤ
conductor (N): 3315
discriminant (Δ): 89505
Faltings height: -0.2882
naive height: 21.3903
primes of bad reduction: 3, 5, 13, 17
regulator: 5.42537383733515058163649192136849955018996
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:12:07 UTC
last updated: 2026-09-26 05:12:07 UTC

Witness: 2 independent points log in to add more points →

(4, -7)
(52/9, 211/27)

Commentary

2-isogenous partner of curve#1139 (David Renshaw).

last edited by Steps Unbounded at 2026-09-26 21:54:52 UTC · history

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