Defining parameters
| Level: | \( N \) | \(=\) | \( 4034 = 2 \cdot 2017 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4034.bd (of order \(252\) and degree \(72\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2017 \) |
| Character field: | \(\Q(\zeta_{252})\) | ||
| Sturm bound: | \(1009\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4034, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 36432 | 12096 | 24336 |
| Cusp forms | 36144 | 12096 | 24048 |
| Eisenstein series | 288 | 0 | 288 |
Decomposition of \(S_{2}^{\mathrm{new}}(4034, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4034, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4034, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2017, [\chi])\)\(^{\oplus 2}\)