Defining parameters
| Level: | \( N \) | \(=\) | \( 5265 = 3^{4} \cdot 5 \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5265.k (of order \(3\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 117 \) |
| Character field: | \(\Q(\zeta_{3})\) | ||
| Sturm bound: | \(1512\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5265, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1560 | 448 | 1112 |
| Cusp forms | 1464 | 448 | 1016 |
| Eisenstein series | 96 | 0 | 96 |
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
\( S_{2}^{\mathrm{old}}(5265, [\chi]) \cong \)