Volume no :26, Issue no: 1, April (2023)

Journal of Pure and Applied Mathematics: Advances and Applications

PARAMETRIZATION OF ALGEBRAIC POINTS OF GIVEN DEGREE ON THE PARTICULARLY HYPERELLIPTIC CURVE II OF TOMASZ

Author's: Mohamadou Mor D. Diallo and Moussa Fall
Pages: [49] - [63]
Received Date: March 31, 2023
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100122275

Abstract

We explicitly define the set of algebraic points of any given degree over on the affine equation curve of
This note deals with a special case of a hyperelliptic curve of affine equation These curves are described by Tomasz in [7], who showed that the Mordell-Weil group is finite when and explained the generators of the torsion group for this family of curves.

Keywords

Mordell-Weil group, Jacobian, linear system.