Defining parameters
| Level: | \( N \) | \(=\) | \( 4992 = 2^{7} \cdot 3 \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4992.n (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 156 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(1792\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4992, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 928 | 224 | 704 |
| Cusp forms | 864 | 224 | 640 |
| Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(4992, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4992, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4992, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(156, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(624, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1248, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2496, [\chi])\)\(^{\oplus 2}\)