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curve #1566

y² + xy = x³ + 2602183183726x + 4443718983774338580

a-invariants: [1, 0, 0, 2602183183726, 4443718983774338580]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/8ℤ
conductor (N): 2434962642
discriminant (Δ): -9658246936976248782528355723445535041808
Faltings height: 6.3546
naive height: 99.3992
primes of bad reduction: 2, 3, 7, 31, 67, 103, 271
regulator: 1128.8556880688180601983943873146870368336471
submitted by: Michael Rubinstein
submitted at: 2026-09-25 01:10:18 UTC
last updated: 2026-09-25 01:10:18 UTC

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

(318307298628/299209, 474716569783710990/163667323)
(-36064531482/249001, 250485613337439678/124251499)
(1499319286/961, 104462860645126/29791)

Commentary

Torsion Z/8. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 01:10:19 UTC · history

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