Rank of Elliptic Curves and the Birch Swinnerton-dyer Conjecture
نویسندگان
چکیده
We numerically verify the Conjecture of Birch and SwinnertonDyer concerning the analytic and geometric rank of an elliptic curve. An algorithm (based on the work of Cremona) is developed in the PARI/GP language for computing the order of vanishing of the L-function for any (non-singular) curve. The analytic rank outputs for several families of curves are compared with readily available data on geometric ranks. Some related results on excess rank are also presented.
منابع مشابه
On the elliptic curves of the form $ y^2=x^3-3px $
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