most recent 30 from http://mathoverflow.net 2013-05-19T13:53:16Z http://mathoverflow.net/feeds/question/30247 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/30247/elliptic-curves-with-cm-and-hecke-l-series Jude 2010-07-01T23:54:30Z 2010-07-01T23:54:30Z

<p>I know that if you have an elliptic curve E with complex multiplication, then the Hasse Weil L-series attached to it can be expressed in terms of Hecke L-series. Is there anything that can be said when the curve doesn't necessarily have CM or any reason why a similar fact would not hold?</p> <p>On a related note, any basic facts/discussions of elliptic curves or Hecke L-series that you think is interesting or good to know would be greatly appreciated!</p>