… elliptic curve E over a field of positive characteristic p, we consider how to efficiently determine
whether E is ordinary or supersingular… depends only on the isomorphism class of E over F, …

… elliptic curves into supersingular and ordinary may look arbitrary and unmotivated, but we
will later see how different these two classes of curves … elliptic curve in the isomorphism class, …

… set of Fqisomorphism classes of elliptic curves defined over Fq. Accordingly, we define an
isogeny class to be an equivalence class of elliptic curves, taken up to Fqisomorphism, under …

… of NFq-isomorphism classes of elliptic curves defined over Fq. Accordingly, we define an
isogeny class to be an equivalence class of elliptic curves, taken up to NFq-isomorphism, under …

… We denote the set of isomorphism classes of elliptic curves E over L such that j ( E ) ∈ J O
and E has a good reduction at p by E ℓ ℓ ( O ) . Then we obtain a map defined by the reduction …

… are \(K\)-isomorphism classes of supersingular elliptic curves over \(K\) and the edges are
equivalence classes of \(\ell \)-isogenies defined over \(K\) between such curves for \(\ell \in L\). …

… elliptic curve E over Fp2 such that End(E) ∼= O. A second problem is to compute a list of all
isomorphism classes of supersingular elliptic curves … we use Hilbert class polynomials. The …

… Indeed, if is an isomorphism of elliptic curves, then we have an induced … There is a bijection
between isomorphism classes of supersingular elliptic curves over F and oriented maximal …

… of supersingular elliptic curves, and in this work we extend these tools to supersingular elliptic
curves … The correspondence between isomorphism classes of supersingular elliptic curve …

… computational problems for supersingular elliptic curves, their … isomorphic to the endomorphism
ring of a supersingular … algebra an isomorphism class of supersingular elliptic curves. …