Defining parameters
Level: | \( N \) | \(=\) | \( 880 = 2^{4} \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 880.t (of order \(4\) and degree \(2\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 880 \) |
Character field: | \(\Q(i)\) | ||
Newform subspaces: | \( 2 \) | ||
Sturm bound: | \(288\) | ||
Trace bound: | \(1\) | ||
Distinguishing \(T_p\): | \(3\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(880, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 296 | 296 | 0 |
Cusp forms | 280 | 280 | 0 |
Eisenstein series | 16 | 16 | 0 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(880, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
880.2.t.a | $8$ | $7.027$ | 8.0.40960000.1 | None | \(0\) | \(0\) | \(0\) | \(0\) | \(q+(-\beta _{1}+\beta _{6})q^{2}+\beta _{3}q^{3}+2q^{4}+\beta _{4}q^{5}+\cdots\) |
880.2.t.b | $272$ | $7.027$ | None | \(0\) | \(0\) | \(-4\) | \(0\) |