Defining parameters
Level: | \( N \) | \(=\) | \( 7623 = 3^{2} \cdot 7 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7623.eh (of order \(66\) and degree \(20\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1089 \) |
Character field: | \(\Q(\zeta_{66})\) | ||
Sturm bound: | \(2112\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7623, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 21200 | 15840 | 5360 |
Cusp forms | 21040 | 15840 | 5200 |
Eisenstein series | 160 | 0 | 160 |
Decomposition of \(S_{2}^{\mathrm{new}}(7623, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7623, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7623, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1089, [\chi])\)\(^{\oplus 2}\)