Defining parameters
| Level: | \( N \) | \(=\) | \( 4140 = 2^{2} \cdot 3^{2} \cdot 5 \cdot 23 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4140.di (of order \(66\) and degree \(20\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1035 \) |
| Character field: | \(\Q(\zeta_{66})\) | ||
| Sturm bound: | \(1728\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4140, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 17520 | 2880 | 14640 |
| Cusp forms | 17040 | 2880 | 14160 |
| Eisenstein series | 480 | 0 | 480 |
Decomposition of \(S_{2}^{\mathrm{new}}(4140, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4140, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4140, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(1035, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2070, [\chi])\)\(^{\oplus 2}\)