Properties

Label 2003.1.g
Level 2003
Weight 1
Character orbit g
Rep. character \(\chi_{2003}(180,\cdot)\)
Character field \(\Q(\zeta_{22})\)
Dimension 0
Newforms 0
Sturm bound 167
Trace bound 0

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Defining parameters

Level: \( N \) = \( 2003 \)
Weight: \( k \) = \( 1 \)
Character orbit: \([\chi]\) = 2003.g (of order \(22\) and degree \(10\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 2003 \)
Character field: \(\Q(\zeta_{22})\)
Newforms: \( 0 \)
Sturm bound: \(167\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(2003, [\chi])\).

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