Properties

Label 12.6.a
Level 12
Weight 6
Character orbit a
Rep. character \(\chi_{12}(1,\cdot)\)
Character field \(\Q\)
Dimension 0
Newforms 0
Sturm bound 12
Trace bound 0

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Defining parameters

Level: \( N \) = \( 12 = 2^{2} \cdot 3 \)
Weight: \( k \) = \( 6 \)
Character orbit: \([\chi]\) = 12.a (trivial)
Character field: \(\Q\)
Newforms: \( 0 \)
Sturm bound: \(12\)
Trace bound: \(0\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{6}(\Gamma_0(12))\).

Total New Old
Modular forms 13 0 13
Cusp forms 7 0 7
Eisenstein series 6 0 6

Decomposition of \(S_{6}^{\mathrm{old}}(\Gamma_0(12))\) into lower level spaces

\( S_{6}^{\mathrm{old}}(\Gamma_0(12)) \cong \) \(S_{6}^{\mathrm{new}}(\Gamma_0(3))\)\(^{\oplus 3}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_0(4))\)\(^{\oplus 2}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_0(6))\)\(^{\oplus 2}\)