Defining parameters
Level: | \( N \) | \(=\) | \( 4009 = 19 \cdot 211 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4009.i (of order \(5\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 211 \) |
Character field: | \(\Q(\zeta_{5})\) | ||
Sturm bound: | \(706\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4009, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1416 | 1272 | 144 |
Cusp forms | 1400 | 1272 | 128 |
Eisenstein series | 16 | 0 | 16 |
Decomposition of \(S_{2}^{\mathrm{new}}(4009, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4009, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4009, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(211, [\chi])\)\(^{\oplus 2}\)