![Copy content]()
gp:[N,k,chi] = [16245,2,Mod(1,16245)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
![Copy content]()
sage:from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16245, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 0]))
N = Newforms(chi, 2, names="a")
![Copy content]()
magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16245.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Newform invariants
![Copy content]()
sage:traces = [1,-1,0,-1,-1,0,0,3,0,1,4,0,2,0,0,-1,-2,0,0,1,0,-4,0,0,1,-2,0,
0,-2,0,0,-5,0,2,0,0,10,0,0,-3,10,0,4,-4,0,0,-8,0,-7,-1,0,-2,-10,0,-4,0,
0,2,-4,0,-2,0,0,7,-2,0,-12,2,0,0,-8,0,10,-10,0,0,0,0,0,1,0,-10,-12,0,2,
-4,0,12,-6,0,0,0,0,8,0,0,-2,7,0,-1]
f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(None)] == traces)
![Copy content]()
gp:f = lf[1] \\ Warning: the index may be different
![Copy content]()
sage:f.q_expansion() # note that sage often uses an isomorphic number field
![Copy content]()
gp:mfcoefs(f, 20)
| \( p \) |
Sign
|
| \(3\) |
\( -1 \) |
| \(5\) |
\( +1 \) |
| \(19\) |
\( -1 \) |
Inner twists of this newform have not been computed.
Twists of this newform have not been computed.
