Defining parameters
| Level: | \( N \) | \(=\) | \( 5152 = 2^{5} \cdot 7 \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5152.dn (of order \(66\) and degree \(20\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 644 \) |
| Character field: | \(\Q(\zeta_{66})\) | ||
| Sturm bound: | \(1536\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5152, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 15680 | 3840 | 11840 |
| Cusp forms | 15040 | 3840 | 11200 |
| Eisenstein series | 640 | 0 | 640 |
Decomposition of \(S_{2}^{\mathrm{new}}(5152, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5152, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5152, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(644, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2576, [\chi])\)\(^{\oplus 2}\)