Defining parameters
| Level: | \( N \) | \(=\) | \( 7248 = 2^{4} \cdot 3 \cdot 151 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7248.dt (of order \(50\) and degree \(20\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3624 \) |
| Character field: | \(\Q(\zeta_{50})\) | ||
| Newform subspaces: | \( 0 \) | ||
| Sturm bound: | \(2432\) | ||
| Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7248, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 24480 | 0 | 24480 |
| Cusp forms | 24160 | 0 | 24160 |
| Eisenstein series | 320 | 0 | 320 |
Decomposition of \(S_{2}^{\mathrm{old}}(7248, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7248, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(3624, [\chi])\)\(^{\oplus 2}\)