Naslov
Torsion growth of rational elliptic curves in sextic number fields

Autori
Gužvić, Tomislav

Izvornik
Journal of number theory (0022-314X) 220 (2021); 330-345

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Torsion group, Elliptic curves

Sažetak
We classify the possible torsion structures of rational elliptic curves over sextic number fields. Among these possible torsion group structures, all groups except C-3 (R) C-18 are known to appear as subgroups of E(K)(tors) for some elliptic curve E/Q and for some sextic number field K. We prove that if the image of mod 2 Galois representation of E is not equal to the Borel subgroup of GL(2)(Z/2Z), then E(K)(tors) can't contain the group C-3 circle plus C-18. (c) 2020 Elsevier Inc. All rights reserved.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA