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.