… 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, …

… 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 \(\ell \in L\). …

… The supersingular elliptic curve isogeny graph has vertices which are isomorphism classes
of supersingular elliptic curves over an algebraically closed field of characteristic p, and …

… 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. …

… ℓ-isogeny graph is the graph whose vertex set is the isomorphism classes of supersingular
elliptic curves2 defined over F𝑝2 (labelled by the j-invariants) and two vertices are connected …

… ▶ vertices are isomorphism classes of K-oriented supersingular elliptic … EFFECTIVE CLASS
GROUP ACTIONS We consider an elliptic curve E0 with an effective endomorphism ring (eg…

… the endomorphism rings of elliptic curves. We also present the ideal class group action over
… Then there exists a unique elliptic curve E′ (up to K-isomorphism) and a unique separable …