Defining parameters
Level: | \( N \) | \(=\) | \( 6010 = 2 \cdot 5 \cdot 601 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6010.cr (of order \(150\) and degree \(40\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3005 \) |
Character field: | \(\Q(\zeta_{150})\) | ||
Sturm bound: | \(1806\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6010, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 36320 | 12000 | 24320 |
Cusp forms | 36000 | 12000 | 24000 |
Eisenstein series | 320 | 0 | 320 |
Decomposition of \(S_{2}^{\mathrm{new}}(6010, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6010, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6010, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3005, [\chi])\)\(^{\oplus 2}\)