# SageMath code for working with modular form 1078.2.e.n


# Compute space of new eigenforms: 
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1078, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a") 

# select newform: 
traces = [4,-2,-2,-2,2,4,0,4,-6,2,-2,-2,4,0,-24,-2,-4,-6,-10,-4,0,4,-8]
f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(23)] == traces)

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