Defining parameters
| Level: | \( N \) | \(=\) | \( 13200 = 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 13200.ku (of order \(20\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4400 \) |
| Character field: | \(\Q(\zeta_{20})\) | ||
| Sturm bound: | \(5760\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(13200, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 23104 | 11520 | 11584 |
| Cusp forms | 22976 | 11520 | 11456 |
| Eisenstein series | 128 | 0 | 128 |
Decomposition of \(S_{2}^{\mathrm{new}}(13200, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(13200, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(13200, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(4400, [\chi])\)\(^{\oplus 2}\)