Defining parameters
| Level: | \( N \) | \(=\) | \( 4225 = 5^{2} \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4225.bi (of order \(26\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 845 \) |
| Character field: | \(\Q(\zeta_{26})\) | ||
| Sturm bound: | \(910\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4225, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 5544 | 3288 | 2256 |
| Cusp forms | 5400 | 3240 | 2160 |
| Eisenstein series | 144 | 48 | 96 |
Decomposition of \(S_{2}^{\mathrm{new}}(4225, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4225, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4225, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(845, [\chi])\)\(^{\oplus 2}\)