… We denote by Ell p ss the set of isomorphism classes of supersingular elliptic curves defined
over 𝔽 p . This is a finite set of cardinality p 12 + O ⁢ ( 1 ) (see [46, Chapter V, Theorem 4.1])…

… E over Fp2 , its endomorphism ring End(E) is isomorphic to a maximal order … isomorphism
classes of maximal orders O in Bp,∞, and isomorphism classes of supersingular elliptic curves …

… of 𝓞-oriented supersingular elliptic curves and derive … large subset of oriented supersingular
elliptic curves over 𝔽 p 2 , which … of all isomorphism classes of supersingular elliptic curves. …

… isogeny graph 𝒢 ℓ (𝔽 p 2 ) whose vertices are (representatives of) the 𝔽 p 2 -isomorphism
classes of supersingular elliptic curves defined over 𝔽 p 2 , and whose directed arcs represent …

… We make some comments about the case of supersingular curves … isomorphism classes
of elliptic curves over C with End(E) = O by the elliptic curves C/a where a runs over the classes …

… For supersingular elliptic curves we will denote Endjt(E) by End… we represent isomorphism
classes for those elliptic curves (… graph represents an isomorphism class of elliptic curve, a …

… In this paper, we study the supersingular isogeny graph G ℓ ( … -isomorphism classes of
supersingular elliptic curves defined … -isomorphism classes of supersingular elliptic curves over k. …

… We consider the endomorphism ring computation problem for supersingular elliptic curves,
… , and that E,E are isomorphic. Isomorphism classes of elliptic curves over Fq can be labeled …

… isogeny over F4 splits as a product of three supersingular elliptic curves. … 2: By a class number
computation by … at least 22 isomorphism classes of hyperelliptic supersingular curves, and …

… isogeny graph with its roughly p/12 isomorphism classes of supersingular elliptic curves
over Fp is connected. Thus, one could use a simple collision search to find a path between two …