A. Knapp, “Elliptic Curves,” Princeton University Press, Princeton, 1992.
has been cited by the following article:
TITLE: On the Torsion Subgroups of Certain Elliptic Curves over Q
AUTHORS: Yoon Kyung Park
KEYWORDS: Elliptic Curve; Rational Point
JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.2, March 19, 2013
ABSTRACT: Let E be an elliptic curve over a given number field . By Mordell’s Theorem, the torsion subgroup of E defined over Q is a finite group. Using Lutz-Nagell Theorem, we explicitly calculate the torsion subgroup E(Q)tors for certain elliptic curves depending on their coefficients.