Families of elliptic curves with rational torsion points of even order

DOI

https://doi.org/10.1090/conm/724/14582
Final published version

Boris M. Bekker
Yuri G. Zarhin

We construct explicitly versal families of elliptic curves with rational points of order 4, 6, 8, 10, and 12, respectively. In the last section, we construct versal families of elliptic curves in characteristic 2 that admit a rational point of order 4 or 8.

Original language	English
Title of host publication	ALGEBRAIC CURVES AND THEIR APPLICATIONS
Editors	L Beshaj, T Shaska
Publisher	American Mathematical Society
Pages	1-32
Number of pages	32
ISBN (Print)	9781470442477
DOIs	https://doi.org/10.1090/conm/724/14582
State	Published - 2019

Publication series

Name	Contemporary Mathematics
Publisher	AMER MATHEMATICAL SOC
Volume	724
ISSN (Print)	0271-4132

Scopus subject areas

Mathematics(all)

Research areas

2-DESCENT

ID: 45103708