Properties

Label 3267.1.bn
Level $3267$
Weight $1$
Character orbit 3267.bn
Rep. character $\chi_{3267}(23,\cdot)$
Character field $\Q(\zeta_{198})$
Dimension $0$
Newform subspaces $0$
Sturm bound $396$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 3267 = 3^{3} \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 3267.bn (of order \(198\) and degree \(60\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 3267 \)
Character field: \(\Q(\zeta_{198})\)
Newform subspaces: \( 0 \)
Sturm bound: \(396\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(3267, [\chi])\).

Total New Old
Modular forms 120 120 0
Cusp forms 0 0 0
Eisenstein series 120 120 0

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