Defining parameters
Level: | \( N \) | \(=\) | \( 1040 = 2^{4} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1040.et (of order \(12\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 208 \) |
Character field: | \(\Q(\zeta_{12})\) | ||
Sturm bound: | \(336\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1040, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 688 | 448 | 240 |
Cusp forms | 656 | 448 | 208 |
Eisenstein series | 32 | 0 | 32 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1040, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1040, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1040, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(208, [\chi])\)\(^{\oplus 2}\)