Defining parameters
Level: | \( N \) | \(=\) | \( 6080 = 2^{6} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 6080.de (of order \(12\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 380 \) |
Character field: | \(\Q(\zeta_{12})\) | ||
Sturm bound: | \(1920\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(6080, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 3936 | 976 | 2960 |
Cusp forms | 3744 | 944 | 2800 |
Eisenstein series | 192 | 32 | 160 |
Decomposition of \(S_{2}^{\mathrm{new}}(6080, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(6080, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(6080, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(380, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1520, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(3040, [\chi])\)\(^{\oplus 2}\)