# SageMath code for working with modular form 882.3.b.e


# Compute space of new eigenforms: 
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 3, names="a")

# select newform: 
traces = [2,0,0,-4,0,0,0,0,0,12,0,0,2,0,0,8,0,0,-46,0,0,36,0,0,14]
f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(25)] == traces)

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