Defining parameters
| Level: | \( N \) | \(=\) | \( 5265 = 3^{4} \cdot 5 \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5265.em (of order \(18\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 351 \) |
| Character field: | \(\Q(\zeta_{18})\) | ||
| Sturm bound: | \(1512\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5265, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4608 | 1008 | 3600 |
| Cusp forms | 4464 | 1008 | 3456 |
| Eisenstein series | 144 | 0 | 144 |
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
\( S_{2}^{\mathrm{old}}(5265, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(351, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1053, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1755, [\chi])\)\(^{\oplus 2}\)