arXiv Analytics

Sign in

arXiv:0803.2809 [math.NT]AbstractReferencesReviewsResources

On some congruence properties of elliptic curves

Derong Qiu

Published 2008-03-19, updated 2009-06-19Version 5

In this paper, as a result of a theorem of Serre on congruence properties, a complete solution is given for an open question (see the text) presented recently by Kim, Koo and Park. Some further questions and results on similar types of congruence properties of elliptic curves are also presented and discussed.

Comments: 11 pages, The title is changed. Thanks to a result of J.-P. Serre from his letter on June 15, 2009 to the author, a complete solution for an open question of Kim, Koo and Park is obtained in this fifth revised version. Some related questions and results are also presented and discussed
Journal: Archiv der Mathematik, 94 (2010), 139-145
Categories: math.NT, math.AG
Subjects: 14H52, 11G05, 11G20
Related articles: Most relevant | Search more
arXiv:1003.4393 [math.NT] (Published 2010-03-23, updated 2014-06-30)
On quadratic twists of elliptic curves and some applications of a refined version of Yu's formula
arXiv:1210.6933 [math.NT] (Published 2012-10-25, updated 2013-06-29)
Mordell-Weil ranks of families of elliptic curves associated to Pythagorean triples
arXiv:math/0312359 [math.NT] (Published 2003-12-18, updated 2004-09-06)
On the Arakelov theory of elliptic curves