Defining parameters
Level: | \( N \) | \(=\) | \( 1248 = 2^{5} \cdot 3 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1248.bc (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 52 \) |
Character field: | \(\Q(i)\) | ||
Newform subspaces: | \( 20 \) | ||
Sturm bound: | \(448\) | ||
Trace bound: | \(11\) | ||
Distinguishing \(T_p\): | \(5\), \(7\), \(11\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(1248, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 480 | 56 | 424 |
Cusp forms | 416 | 56 | 360 |
Eisenstein series | 64 | 0 | 64 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(1248, [\chi])\) into newform subspaces
Decomposition of \(S_{2}^{\mathrm{old}}(1248, [\chi])\) into lower level spaces
\( S_{2}^{\mathrm{old}}(1248, [\chi]) \cong \)