Defining parameters
| Level: | \( N \) | \(=\) | \( 7600 = 2^{4} \cdot 5^{2} \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7600.g (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 380 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(2400\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7600, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1236 | 180 | 1056 |
| Cusp forms | 1164 | 180 | 984 |
| Eisenstein series | 72 | 0 | 72 |
Decomposition of \(S_{2}^{\mathrm{new}}(7600, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7600, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7600, [\chi]) \cong \)