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curve #1292

y² + xy = x³ − 30606263x + 79323080617

a-invariants: [1, 0, 0, -30606263, 79323080617]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/3ℤ
conductor (N): 41399070350
discriminant (Δ): -883490459040895467520000
Faltings height: 3.3105
naive height: 63.7168
primes of bad reduction: 2, 5, 11, 29, 733, 3541
regulator: 121.125431232996076724341575235483025859208461783
submitted by: Michael Rubinstein
submitted at: 2026-09-24 17:26:52 UTC
last updated: 2026-09-24 17:26:52 UTC

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(-6122, 196085)
(8726, 686069)
(82966, 23804405)
(10582, 964469)
(3622, 124629)

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 17:26:52 UTC · history

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