Defining parameters
Level: | \( N \) | \(=\) | \( 7220 = 2^{2} \cdot 5 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7220.bu (of order \(76\) and degree \(36\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1805 \) |
Character field: | \(\Q(\zeta_{76})\) | ||
Sturm bound: | \(2280\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7220, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 41256 | 6840 | 34416 |
Cusp forms | 40824 | 6840 | 33984 |
Eisenstein series | 432 | 0 | 432 |
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
\( S_{2}^{\mathrm{old}}(7220, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1805, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3610, [\chi])\)\(^{\oplus 2}\)