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curve #3469

y² + xy = x³ − x² − 15337250279766x + 23119028050726262088

a-invariants: [1, -1, 0, -15337250279766, 23119028050726262088]
rank (lower bound): ≥ 7
torsion subgroup: ℤ/3ℤ
conductor (N): 28939884625000854
discriminant (Δ): -137543640459166857163480093779721956
Faltings height: 6.0985
naive height: 102.6975
primes of bad reduction: 2, 3, 19, 37, 163, 577, 863, 1483
regulator: 19324.07332920780259611013190464584599397673709550126
submitted by: Michael Rubinstein
submitted at: 2026-09-27 05:43:18 UTC
last updated: 2026-09-27 05:43:18 UTC

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

(2127492, 343390788)
(276496554/121, -85041402438/1331)
(-2611431, 6736463649)
(653166162/289, -23492695968/4913)
(2260174, 2373924)
(2209287, -135469860)
(1077894, -2800441476)

Commentary

Torsion Z/3. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-27 05:43:18 UTC · history

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