The main subject of the course is the arithmetic of elliptic curves. An elliptic curve may be defined as a plane non-singular cubic curve together with a point lying on the curve, or alternatively as an abelian variety of dimension 1 (an algebraic version of a compact Lie group). We shall mainly be concerned with elliptic curves that are defined over fields of arithmetic interest, such as algebraic number fields and finite fields.
Number of hours
Milne, Elliptic Curves, available at http://www.jmilne.org/math/Books/index.html
Silverman, The Arithmetic of Elliptic Curves (Springer GTM)
Webpage Elliptic curves