Defining parameters
| Level: | \( N \) | \(=\) | \( 5700 = 2^{2} \cdot 3 \cdot 5^{2} \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5700.dp (of order \(30\) and degree \(8\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1900 \) |
| Character field: | \(\Q(\zeta_{30})\) | ||
| Sturm bound: | \(2400\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5700, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 9664 | 4800 | 4864 |
| Cusp forms | 9536 | 4800 | 4736 |
| Eisenstein series | 128 | 0 | 128 |
Decomposition of \(S_{2}^{\mathrm{new}}(5700, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5700, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5700, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1900, [\chi])\)\(^{\oplus 2}\)