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curve #1341

y² + xy = x³ − 4226087965313x + 3336394413042923017

a-invariants: [1, 0, 0, -4226087965313, 3336394413042923017]
rank (lower bound): ≥ 7
torsion subgroup: ℤ/3ℤ
conductor (N): 46572904790634950
discriminant (Δ): 21717792864459668995371731031879680000
Faltings height: 6.0398
naive height: 98.8305
primes of bad reduction: 2, 5, 7, 13, 23, 47, 5101, 1856269
regulator: 5344.679523094840526616055847396906042681669412743006
submitted by: Michael Rubinstein
submitted at: 2026-09-24 17:35:13 UTC
last updated: 2026-09-24 17:35:13 UTC

Witness: 7 independent points log in to add more points →

(1109542, 114820359)
(-2317228, 829858619)
(-1891222, 2137413035)
(1253738, 92577515)
(11317858/9, -2797112327/27)
(2417082, 2690050939)
(365032, 1357159379)

Commentary

Torsion Z/3. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 17:35:14 UTC · history

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