%0 Journal Article
%A Izadi, F.
%A Shamsi Zargar, A.
%T A Note on Twists of (y^2=x^3+1)
%J Iranian Journal of Mathematical Sciences and Informatics
%V 12
%N 1
%U http://ijmsi.ir/article-1-593-en.html
%R DOI: 10.7508/ijmsi.2017.01.003
%D 2017
%K Elliptic curve, Mordell curve, (Mordell-Weil) rank, Twist.,
%X 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}.
%> http://ijmsi.ir/article-1-593-en.pdf
%P 27-34
%& 27
%!
%9 Research
%L A-10-885-1
%+ Shahid Madani University, Tabriz
%G eng
%@ 1735-4463
%[ 2017