Defining parameters
Level: | \( N \) | \(=\) | \( 7280 = 2^{4} \cdot 5 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 7280.bm (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1040 \) |
Character field: | \(\Q(i)\) | ||
Sturm bound: | \(2688\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(7280, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 2704 | 2016 | 688 |
Cusp forms | 2672 | 2016 | 656 |
Eisenstein series | 32 | 0 | 32 |
Decomposition of \(S_{2}^{\mathrm{new}}(7280, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(7280, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(7280, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1040, [\chi])\)\(^{\oplus 2}\)