Defining parameters
Level: | \( N \) | \(=\) | \( 95 = 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 95.b (of order \(2\) and degree \(1\)) |
Character conductor: | \(\operatorname{cond}(\chi)\) | \(=\) | \( 5 \) |
Character field: | \(\Q\) | ||
Newform subspaces: | \( 2 \) | ||
Sturm bound: | \(20\) | ||
Trace bound: | \(1\) | ||
Distinguishing \(T_p\): | \(2\) |
Dimensions
The following table gives the dimensions of various subspaces of \(M_{2}(95, [\chi])\).
Total | New | Old | |
---|---|---|---|
Modular forms | 12 | 8 | 4 |
Cusp forms | 8 | 8 | 0 |
Eisenstein series | 4 | 0 | 4 |
Trace form
Decomposition of \(S_{2}^{\mathrm{new}}(95, [\chi])\) into newform subspaces
Label | Dim | $A$ | Field | CM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||
95.2.b.a | $2$ | $0.759$ | \(\Q(\sqrt{-1}) \) | None | \(0\) | \(0\) | \(-2\) | \(0\) | \(q+iq^{2}+q^{4}+(-1+2i)q^{5}-2iq^{7}+\cdots\) |
95.2.b.b | $6$ | $0.759$ | 6.0.16516096.1 | None | \(0\) | \(0\) | \(-1\) | \(0\) | \(q-\beta _{5}q^{2}+(-\beta _{1}+\beta _{3}+\beta _{4}-\beta _{5})q^{3}+\cdots\) |