  Let $\mathfrak{q}>2$ be a prime number, $\chi$ a primitive Dirichlet
character modulo $\mathfrak{q}$ and $f$ a primitive holomorphic cusp form or a
Hecke-Maass cusp form of level $\mathfrak{q}$ and trivial nebentypus. We prove
the subconvex bound $$ L(1/2,f\otimes \chi)\ll
\mathfrak{q}^{1/2-1/12+\varepsilon}, $$ where the implicit constant depends
only on the archimedean parameter of $f$ and $\varepsilon$. The main input is a
modifying trivial delta method developed in [1].

Number Theory