Defining parameters
Level: | \( N \) | \(=\) | \( 7220 = 2^{2} \cdot 5 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7220.cn (of order \(342\) and degree \(108\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 7220 \) |
Character field: | \(\Q(\zeta_{342})\) | ||
Sturm bound: | \(2280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7220, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 123552 | 123552 | 0 |
Cusp forms | 122688 | 122688 | 0 |
Eisenstein series | 864 | 864 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(7220, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.