Properties

Label 576.1.bk
Level $576$
Weight $1$
Character orbit 576.bk
Rep. character $\chi_{576}(43,\cdot)$
Character field $\Q(\zeta_{48})$
Dimension $0$
Newform subspaces $0$
Sturm bound $96$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 576.bk (of order \(48\) and degree \(16\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 576 \)
Character field: \(\Q(\zeta_{48})\)
Newform subspaces: \( 0 \)
Sturm bound: \(96\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(576, [\chi])\).

Total New Old
Modular forms 32 32 0
Cusp forms 0 0 0
Eisenstein series 32 32 0

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