Defining parameters
Level: | \( N \) | \(=\) | \( 7220 = 2^{2} \cdot 5 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7220.bb (of order \(18\) and degree \(6\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 380 \) |
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 | 6312 | 768 |
Cusp forms | 6600 | 5928 | 672 |
Eisenstein series | 480 | 384 | 96 |
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
\( S_{2}^{\mathrm{old}}(7220, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(380, [\chi])\)\(^{\oplus 2}\)