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curve #1399

y² + xy = x³ − 15798360299085x + 23677626491594095761

a-invariants: [1, 0, 0, -15798360299085, 23677626491594095761]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/10ℤ
conductor (N): 22866558
discriminant (Δ): 10165198524258225059631925597272771919872
Faltings height: 6.4624
naive height: 102.7864
primes of bad reduction: 2, 3, 11, 13, 29, 919
regulator: 27.0839172363312768063711243542771606022707
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:21:11 UTC
last updated: 2026-09-24 23:21:11 UTC

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

(12600246594/6241, 51449625644625/493039)
(26318877234/10201, 310312884307491/1030301)

Commentary

Torsion Z/10. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 23:21:12 UTC · history

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