Defining parameters
Level: | \( N \) | \(=\) | \( 9800 = 2^{3} \cdot 5^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9800.dj (of order \(20\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1400 \) |
Character field: | \(\Q(\zeta_{20})\) | ||
Sturm bound: | \(3360\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9800, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 13568 | 9664 | 3904 |
Cusp forms | 13312 | 9536 | 3776 |
Eisenstein series | 256 | 128 | 128 |
Decomposition of \(S_{2}^{\mathrm{new}}(9800, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(9800, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(9800, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1400, [\chi])\)\(^{\oplus 2}\)