Defining parameters
Level: | \( N \) | \(=\) | \( 6008 = 2^{3} \cdot 751 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6008.j (of order \(5\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 751 \) |
Character field: | \(\Q(\zeta_{5})\) | ||
Sturm bound: | \(1504\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6008, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3024 | 752 | 2272 |
Cusp forms | 2992 | 752 | 2240 |
Eisenstein series | 32 | 0 | 32 |
Decomposition of \(S_{2}^{\mathrm{new}}(6008, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6008, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6008, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(751, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1502, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3004, [\chi])\)\(^{\oplus 2}\)