… 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 …

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

… 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 …

… 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 …

… Abstract—We prove that the path-finding problem in isogeny graphs and the endomorphism
ring problem for supersingular elliptic curves are equivalent under reductions of polynomial …

… endomorphism ring problem is equivalent to the problem of computing arbitrary isogenies
between supersingular elliptic curves… to solve the endomorphism ring problem in time \(\tilde{O}…

… supersingular elliptic curves, the second one is computing the endomorphism ring of a supersingular
elliptic curve… to the endomorphism ring of a supersingular elliptic curve. In order to …

… 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 curve E and a non-scalar endomorphism α of E, we prove that the
endomorphism ring … of smooth ideals on oriented elliptic curves can be computed in polynomial …

… 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 …