# SageMath code for working with modular form 48552.2.a.bv


# Compute space of new eigenforms: 
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(48552, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 0, 0, 0]))
N = Newforms(chi, 2, names="a")

# select newform: 
traces = [4,0,4,0,-5,0,-4,0,4,0,1,0,3,0,-5,0,0,0,-5,0,-4,0,10,0,19,0,4,
0,-12,0,6,0,1,0,5,0,-1,0,3,0,-15,0,9,0,-5,0,-6,0,4,0,0,0,6,0,8,0,-5,0,
16,0,-27,0,-4,0,7,0,-21,0,10,0,-7,0,-26,0,19,0,-1,0,-6,0,4,0,0,0,0,0,-12,
0,-17,0,-3,0,6,0,-35,0,-4,0,1,0]
f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(None)] == traces)

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