… quaternionic endomorphism rings of supersingular elliptic curves in more detail; we use
Waterhouse [Wate69, §3] as our main reference. Let E be a supersingular elliptic curve over \(F :…

… We will relate the lattices and the maximal orders in D to supersingular elliptic curves.
Many of these results, although formulated somewhat differently, can already be found in [Do](see …

… Let S be the set of isomorphism classes of supersingular elliptic curves in characteristic p.
It is known to be a finite set of cardinality g + 1, where g is the genus of the modular curve X0(p)…

… an elliptic curve defined over Q with good supersingular … two cuspidal newform associated
to the elliptic curve E. The p-adic … of elliptic curves E with good supersingular reduction at p, …

… the elliptic curve discrete … supersingular elliptic curve is not more difficult to solve than the
discrete logarithm problem in a finite field. Super-singular elliptic curves on GF(pm) are curves …

… We investigate stable operations in supersingular elliptic cohomology using isogenies of …
on elliptic (co)homology. In this paper we investigate stable operations in supersingular elliptic …

… elliptic curve logarithm problem that ran in better than exponential time. In this paper we
demonstrate the reduction of the elliptic curve … For the class of supersingular elliptic curves, the …

… for the supersingular polynomial ssp(t) and the Hasse invariant ˆHp(E) of an elliptic curve E
in … These formulas are used to derive identities for the Hasse invariants of elliptic curves En in …

… Pairing: We consider supersingular elliptic curve E defined by the following equation Y 2
+ Y = X3 + X over the finite field Fq, where q = 21223. As stated in [17], we have #E(F21223 )=5r …

… Let be a prime of the splitting field L of PD(X) which lies over 1 and let g be any supersingular
elliptic curve defined over the residue field F of Â. We shall show that, unless é has …