Defining parameters
| Level: | \( N \) | \(=\) | \( 7448 = 2^{3} \cdot 7^{2} \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7448.cf (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1064 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(2240\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7448, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2272 | 1616 | 656 |
| Cusp forms | 2208 | 1584 | 624 |
| Eisenstein series | 64 | 32 | 32 |
Decomposition of \(S_{2}^{\mathrm{new}}(7448, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7448, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7448, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1064, [\chi])\)\(^{\oplus 2}\)