Defining parameters
| Level: | \( N \) | \(=\) | \( 495 = 3^{2} \cdot 5 \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 3 \) |
| Character orbit: | \([\chi]\) | \(=\) | 495.v (of order \(10\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 55 \) |
| Character field: | \(\Q(\zeta_{10})\) | ||
| Sturm bound: | \(216\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{3}(495, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 608 | 248 | 360 |
| Cusp forms | 544 | 232 | 312 |
| Eisenstein series | 64 | 16 | 48 |
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
\( S_{3}^{\mathrm{old}}(495, [\chi]) \simeq \) \(S_{3}^{\mathrm{new}}(55, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{3}^{\mathrm{new}}(165, [\chi])\)\(^{\oplus 2}\)