Looking at Elliptic L-functions via Modular Symbols
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Mon, 31/05/2010 16:00 |
James Maynard (University of Oxford) |
Junior Number Theory Seminar  |
SR1 |
| 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. | |||