Properties

Label 2011.1.h
Level 2011
Weight 1
Character orbit h
Rep. character \(\chi_{2011}(72,\cdot)\)
Character field \(\Q(\zeta_{30})\)
Dimension 0
Newforms 0
Sturm bound 167
Trace bound 0

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Defining parameters

Level: \( N \) = \( 2011 \)
Weight: \( k \) = \( 1 \)
Character orbit: \([\chi]\) = 2011.h (of order \(30\) and degree \(8\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 2011 \)
Character field: \(\Q(\zeta_{30})\)
Newforms: \( 0 \)
Sturm bound: \(167\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(2011, [\chi])\).

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