The Group of Rational Points on Elliptical Curves

Authors

  • Edervan dos Santos Junior Federal University of Recôncavo da Bahia image/svg+xml
  • do Nascimento, P. H. R. Federal University of Recôncavo da Bahia image/svg+xml

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

Issue

Section

Mathematics

Categories

How to Cite

The Group of Rational Points on Elliptical Curves. Electronic Journal of Exact and Technological Sciences, v. 1, n. 1, 15 Dec.2020.

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