Defining parameters
| Level: | \( N \) | \(=\) | \( 7225 = 5^{2} \cdot 17^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7225.m (of order \(8\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 17 \) |
| Character field: | \(\Q(\zeta_{8})\) | ||
| Sturm bound: | \(1530\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7225, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 3280 | 1796 | 1484 |
| Cusp forms | 2848 | 1628 | 1220 |
| Eisenstein series | 432 | 168 | 264 |
Decomposition of \(S_{2}^{\mathrm{new}}(7225, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7225, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7225, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(17, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(85, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(289, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(425, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1445, [\chi])\)\(^{\oplus 2}\)