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Results (9 matches)

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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 5 89
2670.2.a.a 2670.a 1.a $1$ $21.320$ \(\Q\) None 2670.2.a.a \(-1\) \(-1\) \(-1\) \(0\) $+$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots\)
2670.2.a.c 2670.a 1.a $1$ $21.320$ \(\Q\) None 2670.2.a.c \(1\) \(-1\) \(1\) \(-2\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-2q^{7}+\cdots\)
2670.2.a.e 2670.a 1.a $1$ $21.320$ \(\Q\) None 2670.2.a.e \(1\) \(1\) \(1\) \(-4\) $-$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-4q^{7}+\cdots\)
2670.2.a.h 2670.a 1.a $2$ $21.320$ \(\Q(\sqrt{2}) \) None 2670.2.a.h \(-2\) \(2\) \(2\) \(0\) $+$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+\beta q^{7}+\cdots\)
2670.2.a.i 2670.a 1.a $2$ $21.320$ \(\Q(\sqrt{2}) \) None 2670.2.a.i \(2\) \(-2\) \(-2\) \(0\) $-$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+\beta q^{7}+\cdots\)
2670.2.a.j 2670.a 1.a $3$ $21.320$ 3.3.148.1 None 2670.2.a.j \(-3\) \(-3\) \(3\) \(-4\) $+$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+(-1+\cdots)q^{7}+\cdots\)
2670.2.a.k 2670.a 1.a $3$ $21.320$ 3.3.404.1 None 2670.2.a.k \(-3\) \(3\) \(-3\) \(4\) $+$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+(1+\beta _{1}+\cdots)q^{7}+\cdots\)
2670.2.a.l 2670.a 1.a $3$ $21.320$ 3.3.148.1 None 2670.2.a.l \(3\) \(-3\) \(3\) \(-4\) $-$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)
2670.2.a.n 2670.a 1.a $3$ $21.320$ 3.3.148.1 None 2670.2.a.n \(3\) \(3\) \(-3\) \(-6\) $-$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+(-2+\cdots)q^{7}+\cdots\)
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