\section{A note on Elliptic Curve Cryptography}
\label{section:EllipticCurveCryptography}
+%\epigraph{``Mathematics is the queen of the sciences and number theory is the queen of mathematics.''}{-- Carl Friedrich Gauss}
+
+\epigraph{``Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions.''}{-- Felix Klein }
+
Elliptic Curve Cryptogaphy (simply called ECC from now on) is a branch of
cryptography that emerged in the mid-1980ties.
The security of the RSA algorithm is based on the assumption that factoring