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Results (10 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 5 19
950.2.a.a 950.a 1.a $1$ $7.586$ \(\Q\) None 190.2.a.c \(-1\) \(-1\) \(0\) \(1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots\)
950.2.a.c 950.a 1.a $1$ $7.586$ \(\Q\) None 190.2.a.b \(-1\) \(3\) \(0\) \(5\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+3q^{3}+q^{4}-3q^{6}+5q^{7}-q^{8}+\cdots\)
950.2.a.e 950.a 1.a $1$ $7.586$ \(\Q\) None 190.2.a.a \(1\) \(1\) \(0\) \(1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots\)
950.2.a.f 950.a 1.a $2$ $7.586$ \(\Q(\sqrt{2}) \) None 190.2.b.a \(-2\) \(2\) \(0\) \(6\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(1+\beta )q^{3}+q^{4}+(-1-\beta )q^{6}+\cdots\)
950.2.a.h 950.a 1.a $2$ $7.586$ \(\Q(\sqrt{17}) \) None 190.2.a.d \(2\) \(1\) \(0\) \(1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+\beta q^{7}+q^{8}+\cdots\)
950.2.a.j 950.a 1.a $3$ $7.586$ 3.3.993.1 None 950.2.a.j \(-3\) \(-2\) \(0\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(1-\beta _{1}+\cdots)q^{6}+\cdots\)
950.2.a.k 950.a 1.a $3$ $7.586$ 3.3.257.1 None 950.2.a.k \(-3\) \(-2\) \(0\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+q^{4}+(1+\cdots)q^{6}+\cdots\)
950.2.a.l 950.a 1.a $3$ $7.586$ 3.3.993.1 None 950.2.a.j \(3\) \(2\) \(0\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1-\beta _{1})q^{6}+\cdots\)
950.2.a.m 950.a 1.a $3$ $7.586$ 3.3.257.1 None 950.2.a.k \(3\) \(2\) \(0\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+q^{4}+(1-\beta _{1}+\cdots)q^{6}+\cdots\)
950.2.a.n 950.a 1.a $3$ $7.586$ 3.3.568.1 None 190.2.b.b \(3\) \(2\) \(0\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1-\beta _{1})q^{6}+\cdots\)
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