Defining parameters
Level: | \( N \) | \(=\) | \( 4016 = 2^{4} \cdot 251 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4016.bo (of order \(250\) and degree \(100\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2008 \) |
Character field: | \(\Q(\zeta_{250})\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(1008\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4016, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 50800 | 0 | 50800 |
Cusp forms | 50000 | 0 | 50000 |
Eisenstein series | 800 | 0 | 800 |
Decomposition of \(S_{2}^{\mathrm{old}}(4016, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4016, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2008, [\chi])\)\(^{\oplus 2}\)