Complex analysis prerequisites for Silverman's The Arithmetic of Elliptic Curves I would like to take a course on elliptic curves using Silverman's The Arithmetic of Elliptic Curves next year. I would be taking complex analysis concurrently, but it was listed as a formal prerequisite, so I was planning to learn some complex analysis beforehand. What topics from complex analysis (esp. chapters from Stein's book) would I need to know to do elliptic curves over $\mathbb{C}$?

To begin on this topic I highly recommend Lectures on Elliptic Curves, J. W. S. Cassels. London Mathematical Society. Student Texts 24. This book of Professor Cassels  is indeed bright and decorated with a truly extraordinary didactic sense. You can get it free by internet.
