Defining parameters
Level: | \( N \) | \(=\) | \( 5600 = 2^{5} \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5600.w (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 280 \) |
Character field: | \(\Q(i)\) | ||
Sturm bound: | \(1920\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5600, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2016 | 296 | 1720 |
Cusp forms | 1824 | 280 | 1544 |
Eisenstein series | 192 | 16 | 176 |
Decomposition of \(S_{2}^{\mathrm{new}}(5600, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5600, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5600, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(280, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1120, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1400, [\chi])\)\(^{\oplus 3}\)