Defining parameters
Level: | \( N \) | \(=\) | \( 5733 = 3^{2} \cdot 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5733.ew (of order \(12\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 819 \) |
Character field: | \(\Q(\zeta_{12})\) | ||
Sturm bound: | \(1568\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5733, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3200 | 2272 | 928 |
Cusp forms | 3072 | 2208 | 864 |
Eisenstein series | 128 | 64 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(5733, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5733, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5733, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(819, [\chi])\)\(^{\oplus 2}\)