Defining parameters
| Level: | \( N \) | \(=\) | \( 5175 = 3^{2} \cdot 5^{2} \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5175.ca (of order \(33\) and degree \(20\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 207 \) |
| Character field: | \(\Q(\zeta_{33})\) | ||
| Sturm bound: | \(1440\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5175, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 14640 | 9240 | 5400 |
| Cusp forms | 14160 | 9000 | 5160 |
| Eisenstein series | 480 | 240 | 240 |
Decomposition of \(S_{2}^{\mathrm{new}}(5175, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5175, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5175, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(207, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1035, [\chi])\)\(^{\oplus 2}\)