AU - Izadi, F.
AU - Shamsi Zargar, A.
TI - A Note on Twists of (y^2=x^3+1)
PT - JOURNAL ARTICLE
TA - IJMSI
JN - IJMSI
VO - 12
VI - 1
IP - 1
4099 - http://ijmsi.ir/article-1-593-en.html
4100 - http://ijmsi.ir/article-1-593-en.pdf
SO - IJMSI 1
ABĀ - 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}.
CP - IRAN
IN -
LG - eng
PB - IJMSI
PG - 27
PT - Research
YR - 2017