Finding Suitable Curves for the Elliptic Curve Method of Factorization
نویسندگان
چکیده
Using the parametrizations of Kubert, we show how to produce in nite families of elliptic curves which have prescribed nontrivial torsion over Q and rank at least one. These curves can be used to speed up the ECM factorization algorithm of Lenstra. We also brie y discuss curves with complex multiplication in this context.
منابع مشابه
On the elliptic curves of the form $ y^2=x^3-3px $
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