Defining parameters
| Level: | \( N \) | \(=\) | \( 4029 = 3 \cdot 17 \cdot 79 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4029.bs (of order \(39\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 79 \) |
| Character field: | \(\Q(\zeta_{39})\) | ||
| Sturm bound: | \(960\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4029, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 11616 | 5136 | 6480 |
| Cusp forms | 11424 | 5136 | 6288 |
| Eisenstein series | 192 | 0 | 192 |
Decomposition of \(S_{2}^{\mathrm{new}}(4029, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4029, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4029, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(79, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(237, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1343, [\chi])\)\(^{\oplus 2}\)