Defining parameters
| Level: | \( N \) | \(=\) | \( 2475 = 3^{2} \cdot 5^{2} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 2475.w (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 495 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(720\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2475, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 744 | 440 | 304 |
| Cusp forms | 696 | 424 | 272 |
| Eisenstein series | 48 | 16 | 32 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2475, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2475, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2475, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(495, [\chi])\)\(^{\oplus 2}\)