Defining parameters
Level: | \( N \) | \(=\) | \( 5635 = 5 \cdot 7^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5635.d (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 805 \) |
Character field: | \(\Q\) | ||
Sturm bound: | \(1344\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5635, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 688 | 488 | 200 |
Cusp forms | 656 | 472 | 184 |
Eisenstein series | 32 | 16 | 16 |
Decomposition of \(S_{2}^{\mathrm{new}}(5635, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5635, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5635, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(805, [\chi])\)\(^{\oplus 2}\)