Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-25T05:26:28.230Z Has data issue: false hasContentIssue false
  • English
  • Français

ON THE TORSION OF ELLIPTIC CURVES OVER QUARTIC NUMBER FIELDS

Published online by Cambridge University Press:  18 August 2006

DAEYEOL JEON ,
CHANG HEON KIM  and
EUISUNG PARK
DAEYEOL JEON
Affiliation:
Department of Mathematics Education, Kongju National University, 182 Shinkwan-dong, Kongju, Chungnam, 314-701, [email protected]
CHANG HEON KIM
Affiliation:
Department of Mathematics, Seoul Women's University, 126 Kongnung 2-dong, Nowon-gu, Seoul, 139-774, [email protected]
EUISUNG PARK
Affiliation:
Korea Institute for Advanced Study (KIAS), 207-43 Cheongnyangni 2-dong, Dongdaemun-gu, Seoul, 130-722, [email protected]
Get access

Abstract

We determine which groups ${\mathbb{Z}}/M{\mathbb{Z}}\oplus{\mathbb{Z}}/N{\mathbb{Z}}$ occur infinitely often as torsion groups $E(K)_{\operatorname{tors}}$ when $K$ varies over all quartic number fields and $E$ varies over all elliptic curves over $K$.

Keywords

11G0511G1811G30
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 74 , Issue 1 , August 2006 , pp. 1 - 12
Copyright
The London Mathematical Society 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)