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curve #1326

y² = x³ − 114544227x + 471841863410

a-invariants: [0, 0, 0, -114544227, 471841863410]
rank (lower bound): ≥ 7
torsion subgroup: ℤ/2ℤ
conductor (N): 24414611509584
discriminant (Δ): 5072359374274395866112
Faltings height: 3.2625
naive height: 67.2830
primes of bad reduction: 2, 3, 19, 61, 73, 97, 283
regulator: 2611.643260437883913583545384246881358751262492356491
submitted by: Michael Rubinstein
submitted at: 2026-09-24 17:32:39 UTC
last updated: 2026-09-24 17:32:39 UTC

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

(5107, 141642)
(-7154, 961848)
(6571, 53802)
(6083, 12566)
(4558, 210816)
(-11363, 553392)
(6497, 43508)

Commentary

Torsion Z/2. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-24 17:32:39 UTC · history

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