Defining parameters
Level: | \( N \) | \(=\) | \( 900 = 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 900.o (of order \(6\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 180 \) |
Character field: | \(\Q(\zeta_{6})\) | ||
Sturm bound: | \(1080\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{6}(900, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1824 | 1088 | 736 |
Cusp forms | 1776 | 1072 | 704 |
Eisenstein series | 48 | 16 | 32 |
Trace form
Decomposition of \(S_{6}^{\mathrm{new}}(900, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{6}^{\mathrm{old}}(900, [\chi])\) into lower level spaces
\( S_{6}^{\mathrm{old}}(900, [\chi]) \cong \) \(S_{6}^{\mathrm{new}}(180, [\chi])\)\(^{\oplus 2}\)