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.
Daghigh, H., & Didari, S. (2014). On the elliptic curves of the form $ y^2=x^3-3px $. Bulletin of the Iranian Mathematical Society, 40(5), 1119-1133.
MLA
Daghigh, H., & Didari, S. "On the elliptic curves of the form $ y^2=x^3-3px $", Bulletin of the Iranian Mathematical Society, 40, 5, 2014, 1119-1133.
HARVARD
Daghigh H., Didari S. (2014). 'On the elliptic curves of the form $ y^2=x^3-3px $', Bulletin of the Iranian Mathematical Society, 40(5), pp. 1119-1133.
CHICAGO
H. Daghigh & S. Didari, "On the elliptic curves of the form $ y^2=x^3-3px $," Bulletin of the Iranian Mathematical Society, 40 5 (2014): 1119-1133,
VANCOUVER
Daghigh H., Didari S. On the elliptic curves of the form $ y^2=x^3-3px $. BIMS. 2014;40(5):1119-1133.
