Properties

Label 2.12.a
Level 2
Weight 12
Character orbit a
Rep. character \(\chi_{2}(1,\cdot)\)
Character field \(\Q\)
Dimension 0
Newforms 0
Sturm bound 3
Trace bound 0

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Defining parameters

Level: \( N \) = \( 2 \)
Weight: \( k \) = \( 12 \)
Character orbit: \([\chi]\) = 2.a (trivial)
Character field: \(\Q\)
Newforms: \( 0 \)
Sturm bound: \(3\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{12}(\Gamma_0(2))\).

Total New Old
Modular forms 4 0 4
Cusp forms 2 0 2
Eisenstein series 2 0 2

Decomposition of \(S_{12}^{\mathrm{old}}(\Gamma_0(2))\) into lower level spaces

\( S_{12}^{\mathrm{old}}(\Gamma_0(2)) \cong \) \(S_{12}^{\mathrm{new}}(\Gamma_0(1))\)\(^{\oplus 2}\)