Defining parameters
| Level: | \( N \) | \(=\) | \( 7104 = 2^{6} \cdot 3 \cdot 37 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7104.dc (of order \(12\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1776 \) |
| Character field: | \(\Q(\zeta_{12})\) | ||
| Sturm bound: | \(2432\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7104, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4928 | 1232 | 3696 |
| Cusp forms | 4800 | 1200 | 3600 |
| Eisenstein series | 128 | 32 | 96 |
Decomposition of \(S_{2}^{\mathrm{new}}(7104, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7104, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7104, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1776, [\chi])\)\(^{\oplus 3}\)