Defining parameters
Level: | \( N \) | \(=\) | \( 9800 = 2^{3} \cdot 5^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 9800.gw (of order \(210\) and degree \(48\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 9800 \) |
Character field: | \(\Q(\zeta_{210})\) | ||
Sturm bound: | \(3360\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(9800, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 80832 | 80832 | 0 |
Cusp forms | 80448 | 80448 | 0 |
Eisenstein series | 384 | 384 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(9800, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.