Properties

Label 1089.1.p
Level $1089$
Weight $1$
Character orbit 1089.p
Rep. character $\chi_{1089}(10,\cdot)$
Character field $\Q(\zeta_{22})$
Dimension $0$
Newform subspaces $0$
Sturm bound $132$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 1089 = 3^{2} \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 1089.p (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 121 \)
Character field: \(\Q(\zeta_{22})\)
Newform subspaces: \( 0 \)
Sturm bound: \(132\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(1089, [\chi])\).

Total New Old
Modular forms 40 10 30
Cusp forms 0 0 0
Eisenstein series 40 10 30

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