Rank determines semi-stable conductor |
| |
| Authors: | H Kisilevsky |
| |
| Institution: | Department of Mathematics and Statistics and CICMA, Concordia University, 1455 de Maisonneuve Blvd. West, Montréal, Quebec, Canada H3G 1M8 |
| |
| Abstract: | Suppose that E1 and E2 are elliptic curves over the rational field,  , such that  for all quadratic fields  . We prove that their conductors N(E1), and N(E2) are equal up to squares. If  for all quadratic fields  , then the same conclusion holds, provided the 2-parts of their Tate-Shafarevich groups are finite. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
