S. Didari

University of Kashan

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

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.

نویسندگان همکار

H. Daghigh 1