Defining parameters
| Level: | \( N \) | \(=\) | \( 5082 = 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
| Weight: | \( k \) | \(=\) | \( 2 \) |
| Character orbit: | \([\chi]\) | \(=\) | 5082.y (of order \(11\) and degree \(10\)) |
| Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 121 \) |
| Character field: | \(\Q(\zeta_{11})\) | ||
| Sturm bound: | \(2112\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(5082, [\chi])\).
| Total | New | Old | |
|---|---|---|---|
| Modular forms | 10640 | 1320 | 9320 |
| Cusp forms | 10480 | 1320 | 9160 |
| Eisenstein series | 160 | 0 | 160 |
Decomposition of \(S_{2}^{\mathrm{new}}(5082, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(5082, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(5082, [\chi]) \simeq \) \(S_{2}^{\mathrm{new}}(121, [\chi])\)\(^{\oplus 8}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(242, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(363, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(726, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(847, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1694, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2541, [\chi])\)\(^{\oplus 2}\)