Defining parameters
Level: | \( N \) | \(=\) | \( 2576 = 2^{4} \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2576.f (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 161 \) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 9 \) | ||
Sturm bound: | \(768\) | ||
Trace bound: | \(23\) | ||
Distinguishing \(T_p\): | \(3\), \(5\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2576, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 396 | 98 | 298 |
Cusp forms | 372 | 94 | 278 |
Eisenstein series | 24 | 4 | 20 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2576, [\chi])\) into newform subspaces
Decomposition of \(S_{2}^{\mathrm{old}}(2576, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2576, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(161, [\chi])\)\(^{\oplus 5}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(322, [\chi])\)\(^{\oplus 4}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(644, [\chi])\)\(^{\oplus 3}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(1288, [\chi])\)\(^{\oplus 2}\)