Defining parameters
| Level: | \( N \) | \(=\) | \( 7220 = 2^{2} \cdot 5 \cdot 19^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 7220.be (of order \(18\) and degree \(6\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 76 \) |
| Character field: | \(\Q(\zeta_{18})\) | ||
| Sturm bound: | \(2280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7220, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 7080 | 4080 | 3000 |
| Cusp forms | 6600 | 4080 | 2520 |
| Eisenstein series | 480 | 0 | 480 |
Decomposition of \(S_{2}^{\mathrm{new}}(7220, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7220, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7220, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(76, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(380, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1444, [\chi])\)\(^{\oplus 2}\)