On the Torsion Subgroups of Certain Elliptic Curves over Q ()
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.
Share and Cite:
Y. Park, "On the Torsion Subgroups of Certain Elliptic Curves over Q,"
Advances in Pure Mathematics, Vol. 3 No. 2, 2013, pp. 304-308. doi:
10.4236/apm.2013.32043.
Conflicts of Interest
The authors declare no conflicts of interest.
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