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curve #1538

y² + xy = x³ − 1858170x + 3058762212

a-invariants: [1, 0, 0, -1858170, 3058762212]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/5ℤ
conductor (N): 9345270
discriminant (Δ): -3631596156901785600000
Faltings height: 2.8213
naive height: 57.2058
primes of bad reduction: 2, 3, 5, 11, 28319
regulator: 7.4002734463570105796078482069224197124302577
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:52:01 UTC
last updated: 2026-09-25 00:52:01 UTC

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

(-1866, 6378)
(30804, 5386038)
(-1836, 17718)

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 00:52:01 UTC · history

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