Defining parameters
| Level: | \( N \) | \(=\) | \( 4928 = 2^{6} \cdot 7 \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4928.fa (of order \(60\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1232 \) |
| Character field: | \(\Q(\zeta_{60})\) | ||
| Sturm bound: | \(1536\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4928, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 12544 | 3136 | 9408 |
| Cusp forms | 12032 | 3008 | 9024 |
| Eisenstein series | 512 | 128 | 384 |
Decomposition of \(S_{2}^{\mathrm{new}}(4928, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4928, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4928, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1232, [\chi])\)\(^{\oplus 3}\)