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curve #1480

y² + xy = x³ − 8421204263910x + 18027929118746960100

a-invariants: [1, 0, 0, -8421204263910, 18027929118746960100]
rank (lower bound): ≥ 2
torsion subgroup: ℤ/9ℤ
conductor (N): 795732630
discriminant (Δ): -102181654612965410908302321658368000000000
Faltings height: 6.5604
naive height: 102.2001
primes of bad reduction: 2, 3, 5, 7, 11, 43, 8011
regulator: 15.0452564744535888598705209840945148833449
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:24:18 UTC
last updated: 2026-09-25 00:24:18 UTC

Witness: 2 independent points log in to add more points →

(-920340, 5000335050)
(683232780/2809, 595378787499330/148877)

Commentary

Torsion Z/9. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:24:19 UTC · history

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