Defining parameters
| Level: | \( N \) | \(=\) | \( 7248 = 2^{4} \cdot 3 \cdot 151 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7248.cd (of order \(10\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 453 \) |
| Character field: | \(\Q(\zeta_{10})\) | ||
| Sturm bound: | \(2432\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7248, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4912 | 1224 | 3688 |
| Cusp forms | 4816 | 1208 | 3608 |
| Eisenstein series | 96 | 16 | 80 |
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
\( S_{2}^{\mathrm{old}}(7248, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(453, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(906, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1812, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3624, [\chi])\)\(^{\oplus 2}\)