Defining parameters
| Level: | \( N \) | \(=\) | \( 9016 = 2^{3} \cdot 7^{2} \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 9016.dx (of order \(154\) and degree \(60\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1127 \) |
| Character field: | \(\Q(\zeta_{154})\) | ||
| Sturm bound: | \(2688\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9016, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 81120 | 20160 | 60960 |
| Cusp forms | 80160 | 20160 | 60000 |
| Eisenstein series | 960 | 0 | 960 |
Decomposition of \(S_{2}^{\mathrm{new}}(9016, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9016, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9016, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1127, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2254, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(4508, [\chi])\)\(^{\oplus 2}\)