Defining parameters
| Level: | \( N \) | = | \( 25 = 5^{2} \) |
| Weight: | \( k \) | = | \( 6 \) |
| Nonzero newspaces: | \( 4 \) | ||
| Newform subspaces: | \( 8 \) | ||
| Sturm bound: | \(300\) | ||
| Trace bound: | \(1\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(\Gamma_1(25))\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 139 | 126 | 13 |
| Cusp forms | 111 | 105 | 6 |
| Eisenstein series | 28 | 21 | 7 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(\Gamma_1(25))\)
We only show spaces with even 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.
Decomposition of \(S_{6}^{\mathrm{old}}(\Gamma_1(25))\) into lower level spaces
\( S_{6}^{\mathrm{old}}(\Gamma_1(25)) \cong \) \(S_{6}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 3}\)\(\oplus\)\(S_{6}^{\mathrm{new}}(\Gamma_1(5))\)\(^{\oplus 2}\)