Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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A METHOD OF COMPUTATIONS OF CONGRUENT NUMBERS AND ELLIPTIC CURVES

  • Park, Jong-Youll (Department of Mathematics Education, Chonnam National University) ;
  • Lee, Heon-Soo (Graduate School, Chonnam National University)
  • Received : 2010.01.25
  • Accepted : 2010.03.12
  • Published : 2010.03.25
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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($E_n$, 1) and L'($E_n$, 1) by using SAGE program. In this paper, we obtain the first few congruent numbers for n ${\leq}$ 2500.

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References

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