Defining parameters
Level: | \( N \) | \(=\) | \( 6005 = 5 \cdot 1201 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6005.w (of order \(12\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1201 \) |
Character field: | \(\Q(\zeta_{12})\) | ||
Sturm bound: | \(1202\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6005, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2408 | 1600 | 808 |
Cusp forms | 2392 | 1600 | 792 |
Eisenstein series | 16 | 0 | 16 |
Decomposition of \(S_{2}^{\mathrm{new}}(6005, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6005, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6005, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1201, [\chi])\)\(^{\oplus 2}\)