Defining parameters
| Level: | \( N \) | \(=\) | \( 4205 = 5 \cdot 29^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4205.n (of order \(14\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 145 \) |
| Character field: | \(\Q(\zeta_{14})\) | ||
| Sturm bound: | \(870\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4205, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2796 | 2580 | 216 |
| Cusp forms | 2436 | 2268 | 168 |
| Eisenstein series | 360 | 312 | 48 |
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
\( S_{2}^{\mathrm{old}}(4205, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(145, [\chi])\)\(^{\oplus 2}\)