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curve #1294

y² + xy + y = x³ − 947156853x + 11219613159148

a-invariants: [1, 0, 1, -947156853, 11219613159148]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/3ℤ
conductor (N): 80164811910
discriminant (Δ): 8436077873436708418500
Faltings height: 3.6455
naive height: 73.6205
primes of bad reduction: 2, 3, 5, 67, 109, 367, 997
regulator: 312.408352445767998476527826993137270737133542892
submitted by: Michael Rubinstein
submitted at: 2026-09-24 17:27:12 UTC
last updated: 2026-09-24 17:27:12 UTC

Witness: 5 independent points log in to add more points →

(17537, 44532)
(17783, -5652)
(870431/49, -2889720/343)
(15902, 415350)
(17609, 27930)

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 17:27:12 UTC · history

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