Properties

Label 22.2.a
Level 22
Weight 2
Character orbit a
Rep. character \(\chi_{22}(1,\cdot)\)
Character field \(\Q\)
Dimension 0
Newforms 0
Sturm bound 6
Trace bound 0

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Defining parameters

Level: \( N \) = \( 22 = 2 \cdot 11 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 22.a (trivial)
Character field: \(\Q\)
Newforms: \( 0 \)
Sturm bound: \(6\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{2}(\Gamma_0(22))\).

Total New Old
Modular forms 5 0 5
Cusp forms 2 0 2
Eisenstein series 3 0 3

Decomposition of \(S_{2}^{\mathrm{old}}(\Gamma_0(22))\) into lower level spaces

\( S_{2}^{\mathrm{old}}(\Gamma_0(22)) \cong \) \(S_{2}^{\mathrm{new}}(\Gamma_0(11))\)\(^{\oplus 2}\)