Defining parameters
Level: | \( N \) | \(=\) | \( 9240 = 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9240.no (of order \(60\) and degree \(16\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 3080 \) |
Character field: | \(\Q(\zeta_{60})\) | ||
Sturm bound: | \(4608\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9240, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 37120 | 18432 | 18688 |
Cusp forms | 36608 | 18432 | 18176 |
Eisenstein series | 512 | 0 | 512 |
Decomposition of \(S_{2}^{\mathrm{new}}(9240, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9240, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9240, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(3080, [\chi])\)\(^{\oplus 2}\)