Seminar series
Date
Mon, 31 May 2010
Time
16:00 -
17:00
Location
SR1
Speaker
James Maynard
Organisation
University of Oxford
We have seen that L-functions of elliptic curves of conductor N coincide exactly with L-functions of weight 2 newforms of level N from the Modularity Theorem. We will show how, using modular symbols, we can explicitly compute bases of newforms of a given level, and thus investigate L-functions of an elliptic curve of given conductor. In particular, such calculations allow us to numerically test the Birch-Swinnerton-Dyer conjecture.