Defining parameters
Level: | \( N \) | = | \( 6 = 2 \cdot 3 \) |
Weight: | \( k \) | = | \( 17 \) |
Nonzero newspaces: | \( 1 \) | ||
Newform subspaces: | \( 1 \) | ||
Sturm bound: | \(34\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{17}(\Gamma_1(6))\).
Total | New | Old | |
---|---|---|---|
Modular forms | 18 | 6 | 12 |
Cusp forms | 14 | 6 | 8 |
Eisenstein series | 4 | 0 | 4 |
Trace form
Decomposition of \(S_{17}^{\mathrm{new}}(\Gamma_1(6))\)
We only show spaces with odd parity, since no modular forms exist when this condition is not satisfied. Within each space \( S_k^{\mathrm{new}}(N, \chi) \) we list available newforms together with their dimension.
Label | \(\chi\) | Newforms | Dimension | \(\chi\) degree |
---|---|---|---|---|
6.17.b | \(\chi_{6}(5, \cdot)\) | 6.17.b.a | 6 | 1 |
Decomposition of \(S_{17}^{\mathrm{old}}(\Gamma_1(6))\) into lower level spaces
\( S_{17}^{\mathrm{old}}(\Gamma_1(6)) \cong \) \(S_{17}^{\mathrm{new}}(\Gamma_1(3))\)\(^{\oplus 2}\)