Defining parameters
Level: | \( N \) | \(=\) | \( 1205 = 5 \cdot 241 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1205.f (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 241 \) |
Character field: | \(\Q(i)\) | ||
Sturm bound: | \(242\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1205, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 244 | 164 | 80 |
Cusp forms | 236 | 164 | 72 |
Eisenstein series | 8 | 0 | 8 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1205, [\chi])\) into newform subspaces
The newforms in this space have not yet been added to the LMFDB.
Decomposition of \(S_{2}^{\mathrm{old}}(1205, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1205, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(241, [\chi])\)\(^{\oplus 2}\)