Defining parameters
| Level: | \( N \) | \(=\) | \( 8034 = 2 \cdot 3 \cdot 13 \cdot 103 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 8034.dl (of order \(102\) and degree \(32\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1339 \) |
| Character field: | \(\Q(\zeta_{102})\) | ||
| Sturm bound: | \(2912\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8034, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 46848 | 7744 | 39104 |
| Cusp forms | 46336 | 7744 | 38592 |
| Eisenstein series | 512 | 0 | 512 |
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
\( S_{2}^{\mathrm{old}}(8034, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1339, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2678, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4017, [\chi])\)\(^{\oplus 2}\)