2 papers
math.NT2008
Introducing Ramanujan's Class Polynomials in the Generation of Prime Order Elliptic Curves
Elisavet Konstantinou, Aristides Kontogeorgis
In this paper, we propose the use of Ramanujan class of polynomials for the construction of prime order elliptic curves using the CM-method. We compare (theoretically and experimen…
math.NT2006
Computing polynomials of the Ramanujan class invariants
Elisavet Konstantinou, Aristides Kontogeorgis
We compute the minimal polynomials of the Ramanujan values , where , using Shimura reciprocity law. These polynomials can be used for defining the Hilbert…