Defining parameters
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.be (of order \(6\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 63 \) |
Character field: | \(\Q(\zeta_{6})\) | ||
Sturm bound: | \(480\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{10}(315, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 872 | 576 | 296 |
Cusp forms | 856 | 576 | 280 |
Eisenstein series | 16 | 0 | 16 |
Trace form
Decomposition of \(S_{10}^{\mathrm{new}}(315, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{10}^{\mathrm{old}}(315, [\chi])\) into lower level spaces
\( S_{10}^{\mathrm{old}}(315, [\chi]) \simeq \) \(S_{10}^{\mathrm{new}}(63, [\chi])\)\(^{\oplus 2}\)