| Author(s): |
Cam McLeman; Dustin Moody; |
| Title: |
Class Numbers via 3-Isogenies and Elliptic Surfaces |
| Published: |
November 06, 2012 |
| Abstract: |
We show that a character sum attached to a family of 3-isogenies defi ned on the fibers of a certain elliptic surface over Fp relates to the class number of the quadratic imaginary number field Q(\sqrt{p}). In this sense, this provides a higher-dimensional analog of some recent class number formulas associated to 2-isogenies of elliptic curves. |
| Citation: |
International Journal of Number Theory |
| Volume: |
9 |
| Issue: |
1 |
| Pages: |
pp. 125 - 138 |
| Keywords: |
Elliptic curve; elliptic surface; class number; character sum; |
| Research Areas: |
Math |
| DOI: |
10.1142/S179304211250128X (Note: May link to a non-U.S. Government webpage) |
| PDF version: |
 Click here to retrieve PDF version of paper (472KB) |
