Defining parameters
| Level: | \( N \) | \(=\) | \( 4719 = 3 \cdot 11^{2} \cdot 13 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 4719.i (of order \(3\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 13 \) |
| Character field: | \(\Q(\zeta_{3})\) | ||
| Sturm bound: | \(1232\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4719, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1280 | 510 | 770 |
| Cusp forms | 1184 | 510 | 674 |
| Eisenstein series | 96 | 0 | 96 |
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
\( S_{2}^{\mathrm{old}}(4719, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(39, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(143, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(429, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1573, [\chi])\)\(^{\oplus 2}\)