On supersingular elliptic curves and hypergeometric functions
نویسندگان
چکیده
منابع مشابه
Constructing Supersingular Elliptic Curves
We give an algorithm that constructs, on input of a prime power q and an integer t, a supersingular elliptic curve over Fq with trace of Frobenius t in case such a curve exists. If GRH holds true, the expected run time of our algorithm is e O((log q)). We illustrate the algorithm by showing how to construct supersingular curves of prime order. Such curves can readily be used for pairing based c...
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Assuming GRH, we present an algorithm which inputs a prime p and outputs the set of fundamental discriminants D < 0 such that the reduction map modulo a prime above p from elliptic curves with CM by OD to supersingular elliptic curves in characteristic p. In the algorithm we first determine an explicit constant Dp so that |D| > Dp implies that the map is necessarily surjective and then we compu...
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ژورنال
عنوان ژورنال: Involve, a Journal of Mathematics
سال: 2012
ISSN: 1944-4184,1944-4176
DOI: 10.2140/involve.2012.5.99