La Estructura de Grupo de las Curvas Elípticas

In the early part of this article presents an introduction to the study of elliptic curves defined over a field K and some characteristics of these curves depend on the field which have been defined and subsequently shown that it is possible to define an operation binary between the points of an elliptic curve to give abeliano group structure. In the apendix we presents the algorithms developed in this work, implemented in the computer system algebra MuPAD.