Defining parameters
Level: | \( N \) | \(=\) | \( 8550 = 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 8550.he (of order \(180\) and degree \(48\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 4275 \) |
Character field: | \(\Q(\zeta_{180})\) | ||
Sturm bound: | \(3600\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(8550, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 86784 | 28800 | 57984 |
Cusp forms | 86016 | 28800 | 57216 |
Eisenstein series | 768 | 0 | 768 |
Decomposition of \(S_{2}^{\mathrm{new}}(8550, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(8550, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(8550, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(4275, [\chi])\)\(^{\oplus 2}\)