A METHOD OF COMPUTATIONS OF CONGRUENT NUMBERS AND ELLIPTIC CURVES

• Journal title : Honam Mathematical Journal
• Volume 32, Issue 1,  2010, pp.177-192
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2010.32.1.177
Title & Authors
A METHOD OF COMPUTATIONS OF CONGRUENT NUMBERS AND ELLIPTIC CURVES
Park, Jong-Youll; Lee, Heon-Soo;

Abstract
We study the concepts of congruent number problems and elliptic curves. We research the structure of the group of elliptic curves and find out a method of the computation of L($\small{E_n}$, 1) and L`($\small{E_n}$, 1) by using SAGE program. In this paper, we obtain the first few congruent numbers for n $\small{{\leq}}$ 2500.
Keywords
Congruent number problem;Elliptic curves;Modular form;Birch and Swinnerton-Dyer Conjecture;SAGE program;
Language
English
Cited by
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