Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1396
1
1
gregorian
2017
4
1
12
1
online
1
fulltext
en
A Note on Twists of (y^2=x^3+1)
تخصصي
Special
پژوهشي
Research paper
<p>‎‎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}.</p>
Elliptic curve, Mordell curve, (Mordell-Weil) rank, Twist.
27
34
http://ijmsi.ir/browse.php?a_code=A-10-885-1&slc_lang=en&sid=1
F.
Izadi
farzali.izadi@azaruniv.edu
10031947532846006294
10031947532846006294
No
Urmia University
A.
Shamsi Zargar
shzargar.arman@azaruniv.edu
10031947532846006295
10031947532846006295
Yes
Shahid Madani University, Tabriz