Properties

Label 276.1.b
Level 276
Weight 1
Character orbit b
Rep. character \(\chi_{276}(229,\cdot)\)
Character field \(\Q\)
Dimension 0
Newforms 0
Sturm bound 48
Trace bound 0

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Defining parameters

Level: \( N \) = \( 276 = 2^{2} \cdot 3 \cdot 23 \)
Weight: \( k \) = \( 1 \)
Character orbit: \([\chi]\) = 276.b (of order \(2\) and degree \(1\))
Character conductor: \(\operatorname{cond}(\chi)\) = \( 23 \)
Character field: \(\Q\)
Newforms: \( 0 \)
Sturm bound: \(48\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{1}(276, [\chi])\).

Total New Old
Modular forms 12 0 12
Cusp forms 6 0 6
Eisenstein series 6 0 6

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

Decomposition of \(S_{1}^{\mathrm{old}}(276, [\chi])\) into lower level spaces

\( S_{1}^{\mathrm{old}}(276, [\chi]) \cong \) \(S_{1}^{\mathrm{new}}(23, [\chi])\)\(^{\oplus 6}\)