Properties

Label 3484.1.dx
Level $3484$
Weight $1$
Character orbit 3484.dx
Rep. character $\chi_{3484}(233,\cdot)$
Character field $\Q(\zeta_{66})$
Dimension $0$
Newform subspaces $0$
Sturm bound $476$
Trace bound $0$

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Defining parameters

Level: \( N \) \(=\) \( 3484 = 2^{2} \cdot 13 \cdot 67 \)
Weight: \( k \) \(=\) \( 1 \)
Character orbit: \([\chi]\) \(=\) 3484.dx (of order \(66\) and degree \(20\))
Character conductor: \(\operatorname{cond}(\chi)\) \(=\) \( 871 \)
Character field: \(\Q(\zeta_{66})\)
Newform subspaces: \( 0 \)
Sturm bound: \(476\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(3484, [\chi])\).

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

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