3 problems

Sato–Tate conjecture. For every such $E$ and every $0cle ctheta_1cle ctheta_2cle cpi$,

Let $f$ be a weight $k$ cuspidal Hecke eigenform without inner twists, and let $d=[K_f:\mathds{Q}]$ be the degree of its coefficient field over $\mathds{Q}$. Write $a_p(f)$ for its…

Let $f$ be a weight $2$ normalized cuspidal Hecke eigenform of level $\Gamma_1(N)$ with quadratic coefficient field and without inner twists. Write $a_p(f)$ for its $p$-th Hecke co…