Defining parameters
Level: | \( N \) | \(=\) | \( 4006 = 2 \cdot 2003 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4006.c (of order \(7\) and degree \(6\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2003 \) |
Character field: | \(\Q(\zeta_{7})\) | ||
Sturm bound: | \(1002\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4006, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3018 | 1002 | 2016 |
Cusp forms | 2994 | 1002 | 1992 |
Eisenstein series | 24 | 0 | 24 |
Decomposition of \(S_{2}^{\mathrm{new}}(4006, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4006, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4006, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2003, [\chi])\)\(^{\oplus 2}\)