Defining parameters
Level: | \( N \) | \(=\) | \( 2160 = 2^{4} \cdot 3^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2160.cn (of order \(12\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 720 \) |
Character field: | \(\Q(\zeta_{12})\) | ||
Sturm bound: | \(864\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2160, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1776 | 592 | 1184 |
Cusp forms | 1680 | 560 | 1120 |
Eisenstein series | 96 | 32 | 64 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2160, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2160, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2160, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(720, [\chi])\)\(^{\oplus 2}\)