• Title of article

    On the elliptic curves of the form $ y^2=x^3-3px$

  • Author/Authors

    Daghigh، Hassan ‎ نويسنده ‎University‎ ‎of Kashan‎ , , Didari، Somayeh نويسنده ‎University‎ ‎of Kashan‎ ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2014
  • Pages
    15
  • From page
    1119
  • To page
    1133
  • Abstract
    By the Mordell-Weil theorem‎, ‎the group of rational points on an elliptic curve over a number field is a finitely generated abelian group‎. ‎There is no known algorithm for finding the rank of this group‎. ‎This paper computes the rank of the family $ E_p:y^2=x^3-3px $ of elliptic curves‎, ‎where p is a prime‎.
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Serial Year
    2014
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Record number

    1984237