Newform
= Newform
{title2=$f=q+\sum_{n\ge2}a_nq^n$}
= Primitive eigenform
{synonym}
A newform is a normalized <Hecke eigenform> in the <new subspace of cusp forms>. Its weight, level and <Dirichlet character> are part of its specification. For a <newform>, its <Fourier coefficients> equal its <eigenvalues> of <Hecke operators>.