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curve #774

y² = x³ − 27718327x + 55094082970

a-invariants: [0, 0, 0, -27718327, 55094082970]
rank (lower bound): ≥ 10
torsion subgroup: trivial
conductor (N): 43647618141851669768
discriminant (Δ): 51678779879952377005312
Faltings height: 3.1463
naive height: 63.0264
primes of bad reduction: 2, 37, 5182699, 28452003367
regulator: 319459.9263011650746816521939009473544262172632564942587921
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:37:52 UTC
last updated: 2026-09-18 12:37:52 UTC

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(2657, 14282)
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(-5779, 149258)
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(-599, 267362)
(4285, 122470)
(2685, -5210)

Commentary

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

last edited by Michael Rubinstein at 2026-09-18 12:37:52 UTC · history

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