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curve #1714

y² + xy + y = x³ + x² − 17181506004x + 1093426875233220

a-invariants: [1, 1, 1, -17181506004, 1093426875233220]
rank (lower bound): ≥ 6
torsion subgroup: ℤ/4ℤ
conductor (N): 113934342807363
discriminant (Δ): -191887011977705025297786539009343
Faltings height: 4.9061
naive height: 82.7793
primes of bad reduction: 3, 13, 17, 23, 43, 53, 59, 181, 307
regulator: 9591.8201478108244705974971285843265162514228393158
submitted by: Michael Rubinstein
submitted at: 2026-09-25 06:14:38 UTC
last updated: 2026-09-25 06:14:38 UTC

Witness: 6 independent points log in to add more points →

(64664926/49, 517326646376/343)
(5970129/64, 8879916507/512)
(22675/4, 252479857/8)
(-373097/4, 347663023/8)
(16119910/361, 139617606056/6859)
(-110340, 40624484)

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 06:14:38 UTC · history

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