Defining parameters
Level: | \( N \) | \(=\) | \( 4010 = 2 \cdot 5 \cdot 401 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4010.x (of order \(20\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2005 \) |
Character field: | \(\Q(\zeta_{20})\) | ||
Sturm bound: | \(1206\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4010, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 4864 | 1600 | 3264 |
Cusp forms | 4800 | 1600 | 3200 |
Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(4010, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4010, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4010, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2005, [\chi])\)\(^{\oplus 2}\)