Refine search
Results (4 matches)
Download displayed columns for resultsLabel | Dim | $A$ | Field | Image | CM | RM | Traces | $q$-expansion | |||
---|---|---|---|---|---|---|---|---|---|---|---|
$a_{2}$ | $a_{3}$ | $a_{5}$ | $a_{7}$ | ||||||||
3155.1.c.a | $1$ | $1.575$ | \(\Q\) | $D_{2}$ | \(\Q(\sqrt{-631}) \), \(\Q(\sqrt{-3155}) \) | \(\Q(\sqrt{5}) \) | \(0\) | \(0\) | \(-1\) | \(0\) | \(q+q^{4}-q^{5}-q^{9}+q^{16}-q^{20}+q^{25}+\cdots\) |
3155.1.c.b | $2$ | $1.575$ | \(\Q(\sqrt{5}) \) | $D_{5}$ | \(\Q(\sqrt{-3155}) \) | None | \(0\) | \(-1\) | \(2\) | \(-1\) | \(q+(-1+\beta )q^{3}+q^{4}+q^{5}-\beta q^{7}+(1+\cdots)q^{9}+\cdots\) |
3155.1.c.c | $2$ | $1.575$ | \(\Q(\sqrt{5}) \) | $D_{5}$ | \(\Q(\sqrt{-3155}) \) | None | \(0\) | \(1\) | \(2\) | \(1\) | \(q+(1-\beta )q^{3}+q^{4}+q^{5}+\beta q^{7}+(1-\beta )q^{9}+\cdots\) |
3155.1.c.d | $4$ | $1.575$ | \(\Q(\zeta_{20})^+\) | $D_{10}$ | \(\Q(\sqrt{-3155}) \) | None | \(0\) | \(0\) | \(-4\) | \(0\) | \(q-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{3}q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\) |