# Suggestions for readings; Elliptic curves over function fields

I would love to know some good refercences about Elliptic curves over function fields. Especially in view with Mordell-Weil's Theorem. I am already familiar with the main proof of Mordell's theorem in the book "Rational Points on Elliptic Curves" by Silverman-Tate, thus I am already familiar with the case over $\mathbb{Q}$.

Does anyone have any suggestions?

• Silverman has another book, at the graduate level, called Arithmetic of Elliptic Curves. – Future Feb 1 '16 at 17:40
• I am also already familiar with that book, but it sadly does not discuss the case over function fields – Mathemagician Feb 1 '16 at 17:47