Defining parameters
| Level: | \( N \) | \(=\) | \( 5160 = 2^{3} \cdot 3 \cdot 5 \cdot 43 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5160.cb (of order \(6\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 645 \) |
| Character field: | \(\Q(\zeta_{6})\) | ||
| Sturm bound: | \(2112\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5160, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 2144 | 528 | 1616 |
| Cusp forms | 2080 | 528 | 1552 |
| Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(5160, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5160, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5160, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(645, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1290, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2580, [\chi])\)\(^{\oplus 2}\)