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Darrin Doud

314 TMCB Department of Mathematics Brigham Young University Provo, UT 84602

phone: (801)422-1204 fax: (801)422-0504 e-mail: doud@math.byu.edu

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A procedure to calculate torsion of elliptic curves over Q

Manuscripta Mathematica 95(1998), 463--469.

Abstract We present an algorithm which uses the analytic parameterization of elliptic curves to rapidly calculate torsion subgroups, and calculate its running time. This algorithm is much faster than the ``traditional'' Lutz-Nagell algorithm used by most computer algebra systems to calculate torsion subgroups.

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