Defining parameters
| Level: | \( N \) | \(=\) | \( 7248 = 2^{4} \cdot 3 \cdot 151 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7248.cz (of order \(30\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1812 \) |
| Character field: | \(\Q(\zeta_{30})\) | ||
| Sturm bound: | \(2432\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7248, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 9824 | 2432 | 7392 |
| Cusp forms | 9632 | 2432 | 7200 |
| Eisenstein series | 192 | 0 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(7248, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7248, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7248, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1812, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3624, [\chi])\)\(^{\oplus 2}\)