Defining parameters
| Level: | \( N \) | \(=\) | \( 5194 = 2 \cdot 7^{2} \cdot 53 \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5194.f (of order \(4\) and degree \(2\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 371 \) |
| Character field: | \(\Q(i)\) | ||
| Sturm bound: | \(1512\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5194, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 1544 | 360 | 1184 |
| Cusp forms | 1480 | 360 | 1120 |
| Eisenstein series | 64 | 0 | 64 |
Decomposition of \(S_{2}^{\mathrm{new}}(5194, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5194, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5194, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(371, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(742, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2597, [\chi])\)\(^{\oplus 2}\)