Properties

Label 2004.1.m
Level $2004$
Weight $1$
Character orbit 2004.m
Rep. character $\chi_{2004}(13,\cdot)$
Character field $\Q(\zeta_{166})$
Dimension $0$
Newform subspaces $0$
Sturm bound $336$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 2004 = 2^{2} \cdot 3 \cdot 167 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 2004.m (of order \(166\) and degree \(82\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 167 \)
Character field: \(\Q(\zeta_{166})\)
Newform subspaces: \( 0 \)
Sturm bound: \(336\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(2004, [\chi])\).

Total New Old
Modular forms 492 0 492
Cusp forms 0 0 0
Eisenstein series 492 0 492

The following table gives the dimensions of subspaces with specified projective image type.

\(D_n\) \(A_4\) \(S_4\) \(A_5\)
Dimension 0 0 0 0