Defining parameters
| Level: | \( N \) | \(=\) | \( 7400 = 2^{3} \cdot 5^{2} \cdot 37 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7400.r (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 296 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(2280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7400, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2304 | 1456 | 848 |
| Cusp forms | 2256 | 1432 | 824 |
| Eisenstein series | 48 | 24 | 24 |
Decomposition of \(S_{2}^{\mathrm{new}}(7400, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7400, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7400, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(296, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1480, [\chi])\)\(^{\oplus 2}\)