scholarly journals Tamagawa Numbers of elliptic curves with $C_{13}$ torsion over quadratic fields

2017 ◽  
Vol 145 (9) ◽  
pp. 3747-3753
Author(s):  
Filip Najman
Keyword(s):  
Elliptic Curves ◽  
Quadratic Fields ◽  
Tamagawa Numbers

scholarly journals p-Torsion points on elliptic curves defined over quadratic fields

1984 ◽  
Vol 96 ◽  
pp. 139-165 ◽  
Author(s):  
Fumiyuki Momose
Keyword(s):  
Elliptic Curves ◽  
Prime Number ◽  
Number Field ◽  
Algebraic Number ◽  
Algebraic Number Field ◽  
Quadratic Fields ◽  
Finite Degree ◽  
Torsion Points

Let p be a prime number and k an algebraic number field of finite degree d. Manin [14] showed that there exists an integer n = n(k,p) (≧0) which satisfies the condition

scholarly journals Some Rank Records for Elliptic Curves with Prescribed Torsion Over Quadratic Fields

2014 ◽  
Vol 22 (1) ◽  
pp. 215-219
Author(s):  
Filip Najman
Keyword(s):  
Elliptic Curves ◽  
Torsion Group ◽  
Quadratic Fields

AbstractIn this paper we construct elliptic curves over quadratic fields with prescribed torsion group and record rank. We do this using theoretical arguments and keeping lengthy computations to a minimum.

Sign in / Sign up

Export Citation Format

Share Document