Defining parameters
Level: | \( N \) | \(=\) | \( 9295 = 5 \cdot 11 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9295.ce (of order \(20\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 55 \) |
Character field: | \(\Q(\zeta_{20})\) | ||
Sturm bound: | \(2184\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9295, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 8960 | 7616 | 1344 |
Cusp forms | 8512 | 7264 | 1248 |
Eisenstein series | 448 | 352 | 96 |
Decomposition of \(S_{2}^{\mathrm{new}}(9295, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9295, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9295, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(55, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(715, [\chi])\)\(^{\oplus 2}\)