Defining parameters
| Level: | \( N \) | \(=\) | \( 495 = 3^{2} \cdot 5 \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 3 \) |
| Character orbit: | \([\chi]\) | \(=\) | 495.bh (of order \(20\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 165 \) |
| Character field: | \(\Q(\zeta_{20})\) | ||
| Sturm bound: | \(216\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(495, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1216 | 384 | 832 |
| Cusp forms | 1088 | 384 | 704 |
| Eisenstein series | 128 | 0 | 128 |
Trace form
Decomposition of \(S_{3}^{\mathrm{new}}(495, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{3}^{\mathrm{old}}(495, [\chi])\) into lower level spaces
\( S_{3}^{\mathrm{old}}(495, [\chi]) \simeq \) \(S_{3}^{\mathrm{new}}(165, [\chi])\)\(^{\oplus 2}\)