Defining parameters
Level: | \( N \) | \(=\) | \( 2550 = 2 \cdot 3 \cdot 5^{2} \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2550.bt (of order \(20\) and degree \(8\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 1275 \) |
Character field: | \(\Q(\zeta_{20})\) | ||
Sturm bound: | \(1080\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2550, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 4384 | 1440 | 2944 |
Cusp forms | 4256 | 1440 | 2816 |
Eisenstein series | 128 | 0 | 128 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2550, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(2550, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2550, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(1275, [\chi])\)\(^{\oplus 2}\)