Defining parameters
| Level: | \( N \) | \(=\) | \( 14700 = 2^{2} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 14700.gm (of order \(140\) and degree \(48\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 14700 \) |
| Character field: | \(\Q(\zeta_{140})\) | ||
| Sturm bound: | \(6720\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(14700, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 161664 | 161664 | 0 |
| Cusp forms | 160896 | 160896 | 0 |
| Eisenstein series | 768 | 768 | 0 |
Decomposition of \(S_{2}^{\mathrm{new}}(14700, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.