Defining parameters
Level: | \( N \) | \(=\) | \( 2800 = 2^{4} \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 2800.e (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 140 \) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 11 \) | ||
Sturm bound: | \(960\) | ||
Trace bound: | \(19\) | ||
Distinguishing \(T_p\): | \(3\), \(11\), \(13\), \(19\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(2800, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 516 | 72 | 444 |
Cusp forms | 444 | 72 | 372 |
Eisenstein series | 72 | 0 | 72 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(2800, [\chi])\) into newform subspaces
Decomposition of \(S_{2}^{\mathrm{old}}(2800, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(2800, [\chi]) \cong \) \(S_{2}^{\mathrm{new}}(140, [\chi])\)\(^{\oplus 6}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(560, [\chi])\)\(^{\oplus 2}\)\(\oplus\)\(S_{2}^{\mathrm{new}}(700, [\chi])\)\(^{\oplus 3}\)