Defining parameters
| Level: | \( N \) | \(=\) | \( 5952 = 2^{6} \cdot 3 \cdot 31 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5952.by (of order \(10\) and degree \(4\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 93 \) |
| Character field: | \(\Q(\zeta_{10})\) | ||
| Sturm bound: | \(2048\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5952, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 4192 | 1040 | 3152 |
| Cusp forms | 4000 | 1008 | 2992 |
| Eisenstein series | 192 | 32 | 160 |
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
\( S_{2}^{\mathrm{old}}(5952, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(93, [\chi])\)\(^{\oplus 7}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(186, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(372, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(744, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1488, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2976, [\chi])\)\(^{\oplus 2}\)