… supersingular elliptic curves. One problem is, given a maximal order O in Bp, to compute an
elliptic curve … a list of all isomorphism classes of supersingular elliptic curves E over Fp2 (or …

… First, assuming the hardness of the endomorphism ring … endomorphism ring problem is
equivalent to the problem of computing arbitrary isogenies between supersingular elliptic curves, …

… For supersingular elliptic curves we will denote Endjt(E) by End(E). As a consequence of
the result of Lenstra, the pair (End(E),7r) determines the group structure of E(k) for all finite …

… problems for supersingular elliptic curves, their isogeny graphs, and their endomorphism rings.
… isomorphic to the endomorphism ring of a supersingular elliptic curve, and computing the …

… the endomorphism ring of a supersingular elliptic curve, and … to the endomorphism ring of
a supersingular elliptic curve. In … of endomorphisms for all other supersingular elliptic curves E…

… In this note, we shall work on the supersingular elliptic curves with j -invariants … elliptic curve
defined over F p 2 . Consequently, we may and will assume the supersingular elliptic curve …

… , where E is an elliptic curve with known endomorphism ring. McMurdy … endomorphism ring
of a supersingular elliptic curve E: first we compute two cycles through E in the supersingular …

… Note that for supersingular elliptic curves over fields of prime characteristic, k = 2 is the
maximum possible. The issue of how to scale security in pairing based protocols has been …

… endomorphism ring of supersingular elliptic curves, and inverting the action of class groups
on oriented supersingular curves. … computing the endomorphism ring of oriented curves. The …

… supersingular elliptic curves over a finite field and relevant concepts, such as formal group of
an elliptic curve, … so far are elliptic curves over C, so they only have endomorphism ring as Z …