Defining parameters
| Level: | \( N \) | \(=\) | \( 5952 = 2^{6} \cdot 3 \cdot 31 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5952.fc (of order \(60\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 496 \) |
| Character field: | \(\Q(\zeta_{60})\) | ||
| Sturm bound: | \(2048\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5952, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 16640 | 2048 | 14592 |
| Cusp forms | 16128 | 2048 | 14080 |
| Eisenstein series | 512 | 0 | 512 |
Decomposition of \(S_{2}^{\mathrm{new}}(5952, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5952, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5952, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(496, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(992, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1488, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1984, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2976, [\chi])\)\(^{\oplus 2}\)