Defining parameters
Level: | \( N \) | \(=\) | \( 4024 = 2^{3} \cdot 503 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 4024.b (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 2012 \) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 0 \) | ||
Sturm bound: | \(1008\) | ||
Trace bound: | \(0\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(4024, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 508 | 0 | 508 |
Cusp forms | 500 | 0 | 500 |
Eisenstein series | 8 | 0 | 8 |
Decomposition of \(S_{2}^{\mathrm{old}}(4024, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(4024, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(2012, [\chi])\)\(^{\oplus 2}\)