Defining parameters
Level: | \( N \) | \(=\) | \( 5577 = 3 \cdot 11 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5577.j (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 39 \) |
Character field: | \(\Q(i)\) | ||
Sturm bound: | \(1456\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5577, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1512 | 1024 | 488 |
Cusp forms | 1400 | 1024 | 376 |
Eisenstein series | 112 | 0 | 112 |
Decomposition of \(S_{2}^{\mathrm{new}}(5577, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5577, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5577, [\chi]) \cong \)