Defining parameters
Level: | \( N \) | \(=\) | \( 7220 = 2^{2} \cdot 5 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7220.bn (of order \(38\) and degree \(18\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1444 \) |
Character field: | \(\Q(\zeta_{38})\) | ||
Sturm bound: | \(2280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7220, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 20592 | 13680 | 6912 |
Cusp forms | 20448 | 13680 | 6768 |
Eisenstein series | 144 | 0 | 144 |
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
\( S_{2}^{\mathrm{old}}(7220, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1444, [\chi])\)\(^{\oplus 2}\)