Defining parameters
Level: | \( N \) | \(=\) | \( 12 = 2^{2} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 12.a (trivial) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 0 \) | ||
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
\( S_{6}^{\mathrm{old}}(\Gamma_0(12)) \cong \) \(S_{6}^{\mathrm{new}}(\Gamma_0(3))\)\(^{\oplus 3}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_0(4))\)\(^{\oplus 2}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_0(6))\)\(^{\oplus 2}\)