The Group of Rational Points on Elliptical Curves

Authors

  • Edervan dos Santos Junior Universidade Federal do Recôncavo da Bahia
  • do Nascimento, P. H. R. Universidade Federal do Recôncavo da Bahia

Keywords:

Sum of points, Rational points, Eliptic curves, Abelian group

Abstract

In this work, we performed a bibliographic review of the study of cubic curves, emphasizing elliptical curves, demonstrating the main criteria that characterize them, defining the set of rational points in curves and how to find geometrically the sum of two points belonging to this set constitutes a abelian group structure based on Mordell's theorem.

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Published

2020-12-15

How to Cite

dos Santos Junior, E., & Ribeiro do Nascimento, P. H. (2020). The Group of Rational Points on Elliptical Curves. Electronic Journal of Exact and Technological Sciences, 1(1). Retrieved from https://www3.ufrb.edu.br/index.php/recet/article/view/1792

Issue

Vol. 1 No. 1 (2020): Release edition

Section

Mathematics

Categories

License

Copyright (c) 2020 Electronic Journal of Exact and Technological Sciences

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