Defining parameters
| Level: | \( N \) | \(=\) | \( 3020 = 2^{2} \cdot 5 \cdot 151 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 3020.l (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 755 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(912\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(3020, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 924 | 152 | 772 |
| Cusp forms | 900 | 152 | 748 |
| Eisenstein series | 24 | 0 | 24 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(3020, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(3020, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(3020, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(755, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1510, [\chi])\)\(^{\oplus 2}\)