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curve #1532

y² + y = x³ + x² − 1737260x + 891723410

a-invariants: [0, 1, 1, -1737260, 891723410]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/5ℤ
conductor (N): 12969723
discriminant (Δ): -8396542159573491963
Faltings height: 2.4358
naive height: 54.7418
primes of bad reduction: 3, 13, 19, 23, 761
regulator: 19.381991924343817619295337561494809893508476
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:51:00 UTC
last updated: 2026-09-25 00:51:00 UTC

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

(3550, 198685)
(-636, 41710)
(236590/289, 21319682/4913)

Commentary

Torsion Z/5. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:51:01 UTC · history

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