@ARTICLE{Shamsi Zargar,
author = {Izadi, F. and Shamsi Zargar, A. and },
title = {A Note on Twists of (y^2=x^3+1)},
volume = {12},
number = {1},
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}. },
URL = {http://ijmsi.ir/article-1-593-en.html},
eprint = {http://ijmsi.ir/article-1-593-en.pdf},
journal = {Iranian Journal of Mathematical Sciences and Informatics},
doi = {DOI: 10.7508/ijmsi.2017.01.003},
year = {2017}
}