Defining parameters
| Level: | \( N \) | \(=\) | \( 7581 = 3 \cdot 7 \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7581.es (of order \(342\) and degree \(108\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1083 \) |
| Character field: | \(\Q(\zeta_{342})\) | ||
| Sturm bound: | \(2026\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7581, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 109944 | 82080 | 27864 |
| Cusp forms | 109080 | 82080 | 27000 |
| Eisenstein series | 864 | 0 | 864 |
Decomposition of \(S_{2}^{\mathrm{new}}(7581, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7581, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7581, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1083, [\chi])\)\(^{\oplus 2}\)