# SageMath code for working with modular form 3069.1.cd.b


# Compute space of new eigenforms: 
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(3069, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2, 5]))
N = Newforms(chi, 1, names="a")

# select newform: 
f = N[0] # Warning: the index may be different

# q-expansion: 
f.q_expansion() # note that sage often uses an isomorphic number field