Properties

Label 1792.1.bw
Level $1792$
Weight $1$
Character orbit 1792.bw
Rep. character $\chi_{1792}(23,\cdot)$
Character field $\Q(\zeta_{96})$
Dimension $0$
Newform subspaces $0$
Sturm bound $256$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 1792 = 2^{8} \cdot 7 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 1792.bw (of order \(96\) and degree \(32\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 896 \)
Character field: \(\Q(\zeta_{96})\)
Newform subspaces: \( 0 \)
Sturm bound: \(256\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(1792, [\chi])\).

Total New Old
Modular forms 128 0 128
Cusp forms 0 0 0
Eisenstein series 128 0 128

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