The Group of Rational Points on Elliptical Curves
Keywords:
Sum of points, Rational points, Eliptic curves, Abelian groupAbstract
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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