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curve #1401

y² + xy = x³ − 617755007870x + 186607507602258756

a-invariants: [1, 0, 0, -617755007870, 186607507602258756]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/10ℤ
conductor (N): 2544594
discriminant (Δ): 44631403070858252203217059291594752
Faltings height: 5.5431
naive height: 93.0617
primes of bad reduction: 2, 3, 13, 17, 19, 101
regulator: 6.70712520835465234557965424963869277078392
submitted by: Michael Rubinstein
submitted at: 2026-09-24 23:21:32 UTC
last updated: 2026-09-24 23:21:32 UTC

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

(-25992356/49, 207325933438/343)
(438652, -5837486)

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 23:21:33 UTC · history

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