Defining parameters
Level: | \( N \) | \(=\) | \( 6039 = 3^{2} \cdot 11 \cdot 61 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6039.fq (of order \(20\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 671 \) |
Character field: | \(\Q(\zeta_{20})\) | ||
Sturm bound: | \(1488\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6039, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 6016 | 2496 | 3520 |
Cusp forms | 5888 | 2464 | 3424 |
Eisenstein series | 128 | 32 | 96 |
Decomposition of \(S_{2}^{\mathrm{new}}(6039, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6039, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6039, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(671, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(2013, [\chi])\)\(^{\oplus 2}\)