Defining parameters
| Level: | \( N \) | \(=\) | \( 4752 = 2^{4} \cdot 3^{3} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4752.eo (of order \(60\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1584 \) |
| Character field: | \(\Q(\zeta_{60})\) | ||
| Sturm bound: | \(1728\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4752, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 14016 | 4672 | 9344 |
| Cusp forms | 13632 | 4544 | 9088 |
| Eisenstein series | 384 | 128 | 256 |
Decomposition of \(S_{2}^{\mathrm{new}}(4752, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4752, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4752, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1584, [\chi])\)\(^{\oplus 2}\)