Defining parameters
| Level: | \( N \) | \(=\) | \( 5265 = 3^{4} \cdot 5 \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5265.hv (of order \(108\) and degree \(36\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 405 \) |
| Character field: | \(\Q(\zeta_{108})\) | ||
| Sturm bound: | \(1512\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5265, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 27360 | 23328 | 4032 |
| Cusp forms | 27072 | 23328 | 3744 |
| Eisenstein series | 288 | 0 | 288 |
Decomposition of \(S_{2}^{\mathrm{new}}(5265, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5265, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5265, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(405, [\chi])\)\(^{\oplus 2}\)