Defining parameters
| Level: | \( N \) | \(=\) | \( 5041 = 71^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5041.g (of order \(35\) and degree \(24\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 71 \) |
| Character field: | \(\Q(\zeta_{35})\) | ||
| Sturm bound: | \(852\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5041, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 11088 | 10752 | 336 |
| Cusp forms | 9360 | 9120 | 240 |
| Eisenstein series | 1728 | 1632 | 96 |
Decomposition of \(S_{2}^{\mathrm{new}}(5041, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5041, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5041, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(71, [\chi])\)\(^{\oplus 2}\)