Defining parameters
Level: | \( N \) | \(=\) | \( 1520 = 2^{4} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1520.bq (of order \(6\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 76 \) |
Character field: | \(\Q(\zeta_{6})\) | ||
Newform subspaces: | \( 18 \) | ||
Sturm bound: | \(480\) | ||
Trace bound: | \(19\) | ||
Distinguishing \(T_p\): | \(3\), \(7\), \(11\), \(13\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1520, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 504 | 80 | 424 |
Cusp forms | 456 | 80 | 376 |
Eisenstein series | 48 | 0 | 48 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1520, [\chi])\) into newform subspaces
Decomposition of \(S_{2}^{\mathrm{old}}(1520, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1520, [\chi]) \cong \)