Properties

Label 1161.1.z
Level $1161$
Weight $1$
Character orbit 1161.z
Rep. character $\chi_{1161}(82,\cdot)$
Character field $\Q(\zeta_{14})$
Dimension $0$
Newform subspaces $0$
Sturm bound $132$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 1161 = 3^{3} \cdot 43 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 1161.z (of order \(14\) and degree \(6\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 43 \)
Character field: \(\Q(\zeta_{14})\)
Newform subspaces: \( 0 \)
Sturm bound: \(132\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(1161, [\chi])\).

Total New Old
Modular forms 48 0 48
Cusp forms 12 0 12
Eisenstein series 36 0 36

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 \(S_{1}^{\mathrm{old}}(1161, [\chi])\) into lower level spaces

\( S_{1}^{\mathrm{old}}(1161, [\chi]) \cong \) \(S_{1}^{\mathrm{new}}(387, [\chi])\)\(^{\oplus 2}\)