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curve #1417

y² + xy = x³ − x² − 24x + 44

a-invariants: [1, -1, 0, -24, 44]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/2ℤ
conductor (N): 1746
discriminant (Δ): 282852
Faltings height: -0.2350
naive height: 21.1711
primes of bad reduction: 2, 3, 97
regulator: 0.356550063541426089096423670525592444207041
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:27:18 UTC
last updated: 2026-09-24 23:27:18 UTC

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

(-2, 10)
(10, 22)

Commentary

Torsion Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 23:27:19 UTC · history

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