Defining parameters
| Level: | \( N \) | \(=\) | \( 8042 = 2 \cdot 4021 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8042.b (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4021 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(2011\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8042, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1008 | 336 | 672 |
| Cusp forms | 1004 | 336 | 668 |
| Eisenstein series | 4 | 0 | 4 |
Decomposition of \(S_{2}^{\mathrm{new}}(8042, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8042, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8042, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(4021, [\chi])\)\(^{\oplus 2}\)