Defining parameters
| Level: | \( N \) | \(=\) | \( 4225 = 5^{2} \cdot 13^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4225.l (of order \(5\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 25 \) |
| Character field: | \(\Q(\zeta_{5})\) | ||
| Sturm bound: | \(910\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4225, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1872 | 1596 | 276 |
| Cusp forms | 1760 | 1508 | 252 |
| Eisenstein series | 112 | 88 | 24 |
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
\( S_{2}^{\mathrm{old}}(4225, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(25, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(325, [\chi])\)\(^{\oplus 2}\)