… We first explain the connection between the Selmer groups of elliptic curves and the
Iwasawa … Then for all such supersingular p we have the following isomorphism of A, -modules: …

… elliptic curves over finite fields. We focus on the number of Fq-rational solutions, Tate modules,
supersingular curves, and applications to elliptic curves … isomorphisms of (elliptic) curves, …

… with introducting elliptic curves, isogenies of elliptic curves and … Finally, we move to the case
of supersingular elliptic curves … Recall that Ell(O,t) is the set of Fq-isomorphism classes of E/…

… All supersingular PPAVs are isogenous to a product of supersingular elliptic curves.
Superspecial abelian varieties are isomorphic to a product of supersingular elliptic curves, though …

… if A is isomorphic to E1 × E2 with Ei supersingular elliptic curves, ie, Ei[p] = {OEi } for i = 1,2.
We have an isomorphism E1 ×E2 ∼ = E3 ×E4 for any supersingular elliptic curves Ei (i = 1,2,…

… Given a supersingular elliptic curve E and a non-scalar endomorphism α of E, we prove that
… unique encoding of the K−isomorphism class of a O-oriented elliptic curve. It takes as input a …

… Not much is known concerning the Lamé locus and its canonical image in M1,1(k), which
parametrizes k-isomorphism classes of elliptic curves over k admitting a Lamé point. In …

… In this article, we consider the supersingular elliptic curves over Fp with p ≡ 7 (mod 8) and
… in the form of y2 = x3 + Ax2 − x if and only if their endomorphism rings are isomorphic to Z[ …

… the vertices consist of isomorphism classes of elliptic curves and the … Isogeny graphs based
on ordinary elliptic curves have a … whether an elliptic curve is ordinary or supersingular in our …

… ≈ 2p isomorphism classes of elliptic curves over F p , and there are ≈ 4 p isogeny classes.
… The reason that we focus on ordinary curves is because the ECDLP on supersingular curves …