Bekyel, Ebru (2004) The density of elliptic curves having a global minimal Weierstrass equation. Journal of number theory, 109 (1). pp. 41-58. ISSN 0022-314X
Full text not available from this repository. (Request a copy)
Official URL: http://dx.doi.org/10.1016/j.jnt.2004.06.003
Abstract
We show that a positive density of elliptic curves over a number field counted using their short Weierstrass equations belong to a given Weierstrass class and in particular, a positive density of elliptic curves have a global minimal Weierstrass equation. The density is given by a ratio of partial zeta functions of the number field K evaluated at 10 with some extra factors for the bad primes.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | elliptic curve; Weierstrass equation; zeta function |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Ebru Bekyel |
| Date Deposited: | 30 Dec 2004 02:00 |
| Last Modified: | 22 Oct 2019 15:12 |
| URI: | https://research.sabanciuniv.edu/id/eprint/471 |
Actions (login required)
- View Item