Complete classification of torsion of elliptic curves over quadratic cyclotomic fields (CROSBI ID 159243)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Najman, Filip
engleski
Complete classification of torsion of elliptic curves over quadratic cyclotomic fields
In a previous paper, the author examined the possible torsions of an elliptic curve over the quadratic fields Q(i) and Q(sqrt(-3)). Although all the possible torsions were found if the elliptic curve has rational coefficients, we were unable to eliminate some possibilities for the torsion, if the elliptic curve has coefficients that are not rational. In this note, by finding all the points of two hyperelliptic curves over Q(i) and Q(sqrt(-3)), we solve this problem completely and thus obtain a classification of all possible torsions of elliptic curves over Q(i) and Q(sqrt(-3)).
torsion group ; elliptic curve ; quadratic field
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano