Defining parameters
| Level: | \( N \) | \(=\) | \( 4034 = 2 \cdot 2017 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4034.q (of order \(36\) and degree \(12\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2017 \) |
| Character field: | \(\Q(\zeta_{36})\) | ||
| Sturm bound: | \(1009\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4034, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 6072 | 2016 | 4056 |
| Cusp forms | 6024 | 2016 | 4008 |
| Eisenstein series | 48 | 0 | 48 |
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
\( S_{2}^{\mathrm{old}}(4034, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2017, [\chi])\)\(^{\oplus 2}\)