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curve #1594

y² + xy + y = x³ − 2958745x + 1969597352

a-invariants: [1, 0, 1, -2958745, 1969597352]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/3ℤ
conductor (N): 32080998
discriminant (Δ): -18596741692226408316
Faltings height: 2.5340
naive height: 56.3256
primes of bad reduction: 2, 3, 23, 37, 61, 103
regulator: 7.850133518528242616183434446270643413002287226
submitted by: Michael Rubinstein
submitted at: 2026-09-25 01:24:10 UTC
last updated: 2026-09-25 01:24:10 UTC

Witness: 4 independent points log in to add more points →

(10795/4, 923599/8)
(15439/49, 11158568/343)
(1189, 10934)
(23761, 3641462)

Commentary

Torsion Z/3. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 01:24:10 UTC · history

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