Properties

Label 160.1.h
Level 160
Weight 1
Character orbit h
Rep. character \(\chi_{160}(159,\cdot)\)
Character field \(\Q\)
Dimension 0
Newform subspaces 0
Sturm bound 24
Trace bound 0

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Defining parameters

Level: \( N \) = \( 160 = 2^{5} \cdot 5 \)
Weight: \( k \) = \( 1 \)
Character orbit: \([\chi]\) = 160.h (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 20 \)
Character field: \(\Q\)
Newform subspaces: \( 0 \)
Sturm bound: \(24\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(160, [\chi])\).

Total New Old
Modular forms 10 0 10
Cusp forms 2 0 2
Eisenstein series 8 0 8

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

Decomposition of \(S_{1}^{\mathrm{old}}(160, [\chi])\) into lower level spaces

\( S_{1}^{\mathrm{old}}(160, [\chi]) \cong \) \(S_{1}^{\mathrm{new}}(80, [\chi])\)\(^{\oplus 2}\)