Properties

Label 3584.1.bz
Level $3584$
Weight $1$
Character orbit 3584.bz
Rep. character $\chi_{3584}(17,\cdot)$
Character field $\Q(\zeta_{96})$
Dimension $0$
Newform subspaces $0$
Sturm bound $512$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 3584 = 2^{9} \cdot 7 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 3584.bz (of order \(96\) and degree \(32\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 896 \)
Character field: \(\Q(\zeta_{96})\)
Newform subspaces: \( 0 \)
Sturm bound: \(512\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(3584, [\chi])\).

Total New Old
Modular forms 256 64 192
Cusp forms 0 0 0
Eisenstein series 256 64 192

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