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curve #1546

y² + xy = x³ − x² − 4384010232x − 14338300874310

a-invariants: [1, -1, 0, -4384010232, -14338300874310]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/6ℤ
conductor (N): 7255206
discriminant (Δ): 5303728738096707797209687198878
Faltings height: 4.5853
naive height: 78.2173
primes of bad reduction: 2, 3, 7, 71, 811
regulator: 445.96440815700072372753969382784685723377335
submitted by: Michael Rubinstein
submitted at: 2026-09-25 00:53:21 UTC
last updated: 2026-09-25 00:53:21 UTC

Witness: 3 independent points log in to add more points →

(-8470501179/190969, 805997085844650/83453453)
(-218987609/9025, 7570442099704/857375)
(45907561/25, 310729766326/125)

Commentary

Torsion Z/6. From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-25 00:53:21 UTC · history

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