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curve #1557

y² + xy = x³ − 11865932085996846x + 496266681686736497560452

a-invariants: [1, 0, 0, -11865932085996846, 496266681686736497560452]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/7ℤ
conductor (N): 5220168954
discriminant (Δ): 533320674145644747929367552732353137804434210816
Faltings height: 8.0289
naive height: 122.6509
primes of bad reduction: 2, 3, 7, 11, 13, 17, 29, 41, 43
regulator: 20.372305719635889689207443209690435047633938
submitted by: Michael Rubinstein
submitted at: 2026-09-25 01:05:17 UTC
last updated: 2026-09-25 01:05:17 UTC

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

(2337051132, 112858432449282)
(59980284, 18186576642)
(59195909916/841, 2411225979615882/24389)

Commentary

Torsion Z/7. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 01:05:18 UTC · history

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