… Since isomorphic curves have the same … elliptic curves and isomorphism classes of elliptic
curves interchangeably from now on. In particular, note that whenever we count elliptic curves …

… Some restrictions in the application of Wiles' method were removed by Diamond, thus
proving that an elliptic curve $ E\sb {/{\bf Q}} $ is modular if it is either semistable at 3 and 5 or is …

… discussion to non-supersingular elliptic curves. However, supersingular curves may also be
… precisely 3 isomorphism classes of supersingular curves over F2m, m odd. A representative …

… endomorphism rings of supersingular elliptic curves. A similar … show that any supersingular
elliptic curve constructed using … of all (isomorphism classes of) supersingular elliptic curves …

… For the Selmer group, we know its Pontrjagin dual is isomorphic to Λ (cf. Coates and Sujatha
[3… (For several phenomena of Iwasawa theory of elliptic curves with supersingular reduction, …

… Section 4 of this paper explains how the construction of [2] can be modified in the supersingular
case to yield classes κ+(l) and κ − (l) satisfying properties analogous to the classes κ(l) of …

… Therefore we expect 6 isomorphism classes of supersingular elliptic curves over F59.
Using Magma (the code can be found in the Appendix), we can determine that the …

… of Fqisomorphism classes of elliptic curves defined over Fq. We define an isogeny class to
be an equivalence class of elliptic curves, … graphs for supersingular elliptic curves and prove …

… We will now recall some characterizations of supersingular elliptic curves. Such criteria for
… graph whose vertices are isomorphism classes of O-oriented elliptic curves defined over Fp, …

… are exactly seven isomorphism classes of supersingular elliptic curves over F2m (… supersingular
elliptic curves over F2m, where m is even. Given an arbitrary supersingular elliptic curve …