Octahedral Galois representations arising from Q-curves of degree 2

Julio Fernández-González, Joan-Carles Lario, Anna Rio

Generically, one can attach to a Q-curve C octahedral representations Gal(Qbar/Q) --> GL(2,Fbar_3) coming from the Galois action on the 3-torsion of those abelian varieties of GL_2…