Defining parameters
Level: | \( N \) | \(=\) | \( 1200 = 2^{4} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1200.bq (of order \(10\) and degree \(4\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 300 \) |
Character field: | \(\Q(\zeta_{10})\) | ||
Sturm bound: | \(480\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1200, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 1008 | 240 | 768 |
Cusp forms | 912 | 240 | 672 |
Eisenstein series | 96 | 0 | 96 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1200, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1200, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1200, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(300, [\chi])\)\(^{\oplus 3}\)