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curve #1724

y² = x³ − 100490700x + 387645446000

a-invariants: [0, 0, 0, -100490700, 387645446000]
rank (lower bound): ≥ 4
torsion subgroup: ℤ/4ℤ
conductor (N): 132033600
discriminant (Δ): 30570202898749440000000
Faltings height: 3.2974
naive height: 66.8903
primes of bad reduction: 2, 3, 5, 53, 173
regulator: 66.78138393338677327602095297217607635160535507
submitted by: Michael Rubinstein
submitted at: 2026-09-25 06:16:17 UTC
last updated: 2026-09-25 06:16:17 UTC

Witness: 4 independent points log in to add more points →

(6920, 153700)
(5701, 6201)
(5620, 19800)
(3316, 301464)

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 06:16:17 UTC · history

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