Defining parameters
| Level: | \( N \) | \(=\) | \( 5950 = 2 \cdot 5^{2} \cdot 7 \cdot 17 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5950.fh (of order \(240\) and degree \(64\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2975 \) |
| Character field: | \(\Q(\zeta_{240})\) | ||
| Sturm bound: | \(2160\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5950, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 69632 | 23040 | 46592 |
| Cusp forms | 68608 | 23040 | 45568 |
| Eisenstein series | 1024 | 0 | 1024 |
Decomposition of \(S_{2}^{\mathrm{new}}(5950, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5950, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5950, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(2975, [\chi])\)\(^{\oplus 2}\)