Defining parameters
| Level: | \( N \) | \(=\) | \( 6525 = 3^{2} \cdot 5^{2} \cdot 29 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 6525.fd (of order \(140\) and degree \(48\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2175 \) |
| Character field: | \(\Q(\zeta_{140})\) | ||
| Sturm bound: | \(1800\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6525, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 43584 | 14400 | 29184 |
| Cusp forms | 42816 | 14400 | 28416 |
| Eisenstein series | 768 | 0 | 768 |
Decomposition of \(S_{2}^{\mathrm{new}}(6525, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6525, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6525, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(2175, [\chi])\)\(^{\oplus 2}\)