I. Contents：
elliptic curves, rational points, Mordell’s Theorem, modular groups, modular functions, Dirichlet series.

II. Course prerequisite：
algebra, complex variable functions.

III. Reference material ( textbook(s) )：
Elliptic Curves, Anthony W. Knapp, Mathematical Note 40, Princeton University Press 1992.
A Course in Arithmetic, J.-P. Serre, Springer-Verlag 1973.

IV. Grading scheme：
Based on formal and informal discussions.

V. Others：