Defining parameters
| Level: | \( N \) | \(=\) | \( 4641 = 3 \cdot 7 \cdot 13 \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4641.km (of order \(24\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 357 \) |
| Character field: | \(\Q(\zeta_{24})\) | ||
| Sturm bound: | \(1344\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4641, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 5440 | 4608 | 832 |
| Cusp forms | 5312 | 4608 | 704 |
| Eisenstein series | 128 | 0 | 128 |
Decomposition of \(S_{2}^{\mathrm{new}}(4641, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4641, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4641, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(357, [\chi])\)\(^{\oplus 2}\)