Defining parameters
| Level: | \( N \) | \(=\) | \( 23712 = 2^{5} \cdot 3 \cdot 13 \cdot 19 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 23712.nh (of order \(12\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 988 \) |
| Character field: | \(\Q(\zeta_{12})\) | ||
| Sturm bound: | \(8960\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(23712, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 18048 | 2240 | 15808 |
| Cusp forms | 17792 | 2240 | 15552 |
| Eisenstein series | 256 | 0 | 256 |
Decomposition of \(S_{2}^{\mathrm{new}}(23712, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(23712, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(23712, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(988, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2964, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3952, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(7904, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(11856, [\chi])\)\(^{\oplus 2}\)