Volume 12, Issue 1 (4-2017)
IJMSI 2017, 12(1): 27-34 |
Back to browse issues page
Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
Izadi F, Shamsi Zargar A. A Note on Twists of (y^2=x^3+1). IJMSI 2017; 12 (1) :27-34
URL: http://ijmsi.ir/article-1-593-en.html
URL: http://ijmsi.ir/article-1-593-en.html
Abstract:
In the category of Mordell curves (E_D:y^2=x^3+D) with nontrivial torsion groups we find curves of the generic rank two as quadratic twists of (E_1), and of the generic rank at least two and at least three as cubic twists of (E_1). Previous work, in the category of Mordell curves with trivial torsion groups, has found infinitely many elliptic curves with rank at least seven as sextic twists of (E_1) cite{Kih}.
Type of Study: Research paper |
Subject:
Special
| Rights and permissions | |
 |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |
