Introducing Ramanujan's Class Polynomials in the Generation of Prime Order Elliptic Curves

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/158489In 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 experimentally) the efficiency of using this new class against the use of the Weber, $M_{D,l}(x)$ and $M_{D,p_1,p_2}(x)$ polynomials and show that they clearly outweigh all of them in the generation of prime order elliptic curves.Number Theory11G20,14H52Introducing Ramanujan's Class Polynomials in the Generation of Prime Order Elliptic Curvestext