Defining parameters
Level: | \( N \) | \(=\) | \( 4005 = 3^{2} \cdot 5 \cdot 89 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4005.dm (of order \(88\) and degree \(40\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 267 \) |
Character field: | \(\Q(\zeta_{88})\) | ||
Sturm bound: | \(1080\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4005, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 21920 | 4800 | 17120 |
Cusp forms | 21280 | 4800 | 16480 |
Eisenstein series | 640 | 0 | 640 |
Decomposition of \(S_{2}^{\mathrm{new}}(4005, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4005, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4005, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(267, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(801, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1335, [\chi])\)\(^{\oplus 2}\)