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curve #1293

y² + xy = x³ − 373911685x + 2744591676225

a-invariants: [1, 0, 0, -373911685, 2744591676225]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/3ℤ
conductor (N): 45973104590
discriminant (Δ): 91464343959942582272000000
Faltings height: 3.7819
naive height: 70.8322
primes of bad reduction: 2, 5, 7, 17, 1459, 26479
regulator: 71.7090958394497040458298018702143742157777654108
submitted by: Michael Rubinstein
submitted at: 2026-09-24 17:27:02 UTC
last updated: 2026-09-24 17:27:02 UTC

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

(-910, 1756615)
(4970, 1002015)
(1442, 1485351)
(81410, -22664985)
(12530, -169785)

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 17:27:02 UTC · history

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