Defining parameters
| Level: | \( N \) | \(=\) | \( 4205 = 5 \cdot 29^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4205.w (of order \(58\) and degree \(28\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 841 \) |
| Character field: | \(\Q(\zeta_{58})\) | ||
| Sturm bound: | \(870\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4205, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 12264 | 8120 | 4144 |
| Cusp forms | 12152 | 8120 | 4032 |
| Eisenstein series | 112 | 0 | 112 |
Decomposition of \(S_{2}^{\mathrm{new}}(4205, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4205, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4205, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(841, [\chi])\)\(^{\oplus 2}\)