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curve #1571

y² = x³ − x² − 363502229200x + 52306571790340000

a-invariants: [0, -1, 0, -363502229200, 52306571790340000]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/8ℤ
conductor (N): 922220880
discriminant (Δ): 1892044434239697164303486181600000000
Faltings height: 5.6619
naive height: 91.4708
primes of bad reduction: 2, 3, 5, 7, 23, 29, 823
regulator: 54.719414379734817044102996919115201167261892
submitted by: Michael Rubinstein
submitted at: 2026-09-25 01:15:19 UTC
last updated: 2026-09-25 01:15:19 UTC

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

(-9939900/49, 117673140500/343)
(-34151438/121, 484342646298/1331)
(17923850/169, 268601733750/2197)

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 01:15:19 UTC · history

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