The group of rational points on the Holm curve is torsion-free

The group of rational points on the Holm curve is torsion-free

Using the division polynomials for elliptic curves in Weierstrass form, it shown that the group of rational points on the curve \(H: ky(yy - 1) = lx(xx - 1)\) is torsion-free.

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Veröffentlicht in:arXiv.org 2020-02
1. Verfasser: Nelson, Fredrick M
Format: Artikel
Sprache:eng
Schlagworte:
Curves
Polynomials
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Zusammenfassung:Using the division polynomials for elliptic curves in Weierstrass form, it shown that the group of rational points on the curve \(H: ky(yy - 1) = lx(xx - 1)\) is torsion-free.
ISSN:2331-8422