Let $f = \sum_{n = 1}^\infty a_n q^n$ be a primitive non-CM(non dihedral for weight one) cusp form of weight $k \geq 1$, level $N \geq 1$ and and character $\epsilon$, and $M_f$ be the motive attached to $f$.
................contd................. In this talk
we will give a complete description of the Brauer class of $X_f$ in terms of the slopes of the adjoint lift of $f$, under a finiteness hypothesis on these slopes. We also extend the above results to the simpler case of non-dihedral modular forms of weight one, where the Grothendieck motive is replaced by an Artin motive.
