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curve #2073

y² + xy + y = x³ − x² − 27x + 26

a-invariants: [1, -1, 1, -27, 26]
rank (lower bound): ≥ 1
torsion subgroup: ℤ/2ℤ × ℤ/2ℤ
conductor (N): 205
discriminant (Δ): 1050625
Faltings height: -0.1518
naive height: 21.4662
primes of bad reduction: 5, 41
regulator: 3.205202794649401910133809019075863139679
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:14:07 UTC
last updated: 2026-09-26 05:14:07 UTC

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

(-5/4, 61/8)

Commentary

2-isogenous partner of curve#1155 (David Renshaw), curve#2548, curve#2588 (Natanael Wildner Fraga).

last edited by Steps Unbounded at 2026-09-26 21:57:07 UTC · history

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