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curve #1527

y² = x³ + 2644x + 1545264

a-invariants: [0, 0, 0, 2644, 1545264]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/4ℤ
conductor (N): 552512
discriminant (Δ): -1032730182811648
Faltings height: 1.5600
naive height: 42.0246
primes of bad reduction: 2, 89, 97
regulator: 54.494904471266845841482179204890723561038037
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:50:10 UTC
last updated: 2026-09-25 00:50:10 UTC

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

(-10, 1232)
(-106, 272)
(3254, 185648)

Commentary

Torsion Z/4. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:50:10 UTC · history

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