Defining parameters
| Level: | \( N \) | \(=\) | \( 8034 = 2 \cdot 3 \cdot 13 \cdot 103 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8034.h (of order \(2\) and degree \(1\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 309 \) |
| Character field: | \(\Q\) | ||
| Sturm bound: | \(2912\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8034, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1464 | 416 | 1048 |
| Cusp forms | 1448 | 416 | 1032 |
| Eisenstein series | 16 | 0 | 16 |
Decomposition of \(S_{2}^{\mathrm{new}}(8034, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8034, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8034, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(309, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(618, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4017, [\chi])\)\(^{\oplus 2}\)