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curve #1520

y² + xy + y = x³ − 37510x + 2793012

a-invariants: [1, 0, 1, -37510, 2793012]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/3ℤ
conductor (N): 287014
discriminant (Δ): 27681352244
Faltings height: 1.2054
naive height: 43.2107
primes of bad reduction: 2, 7, 13, 19, 83
regulator: 6.9226721822862640604733449555197398263484136
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:49:00 UTC
last updated: 2026-09-25 00:49:00 UTC

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

(280, 3636)
(-135, 2391)
(-218, 897)

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 00:49:00 UTC · history

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