Defining parameters
Level: | \( N \) | \(=\) | \( 6004 = 2^{2} \cdot 19 \cdot 79 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6004.br (of order \(13\) and degree \(12\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 79 \) |
Character field: | \(\Q(\zeta_{13})\) | ||
Sturm bound: | \(1600\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6004, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 9672 | 1440 | 8232 |
Cusp forms | 9528 | 1440 | 8088 |
Eisenstein series | 144 | 0 | 144 |
Decomposition of \(S_{2}^{\mathrm{new}}(6004, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6004, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6004, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(79, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(158, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(316, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1501, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3002, [\chi])\)\(^{\oplus 2}\)