Defining parameters
| Level: | \( N \) | \(=\) | \( 4719 = 3 \cdot 11^{2} \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4719.cj (of order \(60\) and degree \(16\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 429 \) |
| Character field: | \(\Q(\zeta_{60})\) | ||
| Sturm bound: | \(1232\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4719, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 10240 | 8320 | 1920 |
| Cusp forms | 9472 | 7808 | 1664 |
| Eisenstein series | 768 | 512 | 256 |
Decomposition of \(S_{2}^{\mathrm{new}}(4719, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(4719, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4719, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(429, [\chi])\)\(^{\oplus 2}\)