Explicit isogeny descent on elliptic curves
نویسندگان
چکیده
In this note, we consider an `-isogeny descent on a pair of elliptic curves over Q. We assume that ` > 3 is a prime. The main result expresses the relevant Selmer groups as kernels of simple explicit maps between finitedimensional F`-vector spaces defined in terms of the splitting fields of the kernels of the two isogenies. We give examples of proving the `-part of the Birch and Swinnerton-Dyer conjectural formula for certain curves of small conductor.
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عنوان ژورنال:
- Math. Comput.
دوره 82 شماره
صفحات -
تاریخ انتشار 2013