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Results (12 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 19
1824.2.a.a 1824.a 1.a $1$ $14.565$ \(\Q\) None \(0\) \(-1\) \(-2\) \(4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}+4q^{7}+q^{9}-4q^{11}+\cdots\)
1824.2.a.c 1824.a 1.a $1$ $14.565$ \(\Q\) None \(0\) \(-1\) \(-1\) \(1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{7}+q^{9}+5q^{11}+4q^{13}+\cdots\)
1824.2.a.e 1824.a 1.a $1$ $14.565$ \(\Q\) None \(0\) \(-1\) \(2\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}-4q^{7}+q^{9}+6q^{11}+\cdots\)
1824.2.a.j 1824.a 1.a $1$ $14.565$ \(\Q\) None \(0\) \(1\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{9}-2q^{17}+q^{19}+6q^{23}+\cdots\)
1824.2.a.k 1824.a 1.a $1$ $14.565$ \(\Q\) None \(0\) \(1\) \(2\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+4q^{7}+q^{9}-6q^{11}+\cdots\)
1824.2.a.l 1824.a 1.a $1$ $14.565$ \(\Q\) None \(0\) \(1\) \(3\) \(3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+3q^{5}+3q^{7}+q^{9}+3q^{11}+\cdots\)
1824.2.a.o 1824.a 1.a $2$ $14.565$ \(\Q(\sqrt{33}) \) None \(0\) \(-2\) \(-1\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-\beta q^{5}-\beta q^{7}+q^{9}+(4-\beta )q^{11}+\cdots\)
1824.2.a.q 1824.a 1.a $2$ $14.565$ \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(-3\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+(-1-\beta )q^{5}+(1-\beta )q^{7}+q^{9}+\cdots\)
1824.2.a.s 1824.a 1.a $3$ $14.565$ 3.3.469.1 None \(0\) \(-3\) \(-3\) \(5\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(-1+\beta _{1})q^{5}+(2-\beta _{2})q^{7}+\cdots\)
1824.2.a.t 1824.a 1.a $3$ $14.565$ 3.3.229.1 None \(0\) \(-3\) \(5\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(2+\beta _{2})q^{5}+\beta _{1}q^{7}+q^{9}+\beta _{1}q^{11}+\cdots\)
1824.2.a.u 1824.a 1.a $3$ $14.565$ 3.3.469.1 None \(0\) \(3\) \(-3\) \(-5\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+(-1+\beta _{1})q^{5}+(-2+\beta _{2})q^{7}+\cdots\)
1824.2.a.v 1824.a 1.a $3$ $14.565$ 3.3.229.1 None \(0\) \(3\) \(5\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+(2+\beta _{2})q^{5}-\beta _{1}q^{7}+q^{9}-\beta _{1}q^{11}+\cdots\)
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