Numerical Investigations Related to the L-Series of Certain Elliptic Curves

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Authors

  • Max-Planck-Institut fur Mathematik, Gottfried-Claren-Strasse 26 5300 Bonn F.R.G. ,DE
  • Loewe Opta, 8640 Kronach ,DE

Abstract

According to the theorem of Mordell, the set of rational solutions E(Q) of an elliptic curve E over the rational numbers is a finitely generated abelian group. The rank of this group is called the rank of the elliptic curve and is the basic invariant of E; it is positive if and only if the equation defining E has infinitely many rational solutions.

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Published

1987-06-01

How to Cite

Zagier, D., & Kramarz, G. (1987). Numerical Investigations Related to the L-Series of Certain Elliptic Curves. The Journal of the Indian Mathematical Society, 52(1-2), 51–69. Retrieved from http://informaticsjournals.com/index.php/jims/article/view/21978