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Results (10 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 5 151
6040.2.a.d 6040.a 1.a $1$ $48.230$ \(\Q\) None \(0\) \(-1\) \(1\) \(-1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}-2q^{9}-q^{11}-q^{13}+\cdots\)
6040.2.a.e 6040.a 1.a $1$ $48.230$ \(\Q\) None \(0\) \(0\) \(-1\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{7}-3q^{9}+5q^{11}-q^{13}+\cdots\)
6040.2.a.f 6040.a 1.a $1$ $48.230$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-3q^{9}+4q^{11}-2q^{13}+\cdots\)
6040.2.a.h 6040.a 1.a $1$ $48.230$ \(\Q\) None \(0\) \(1\) \(1\) \(4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+4q^{7}-2q^{9}-3q^{11}+\cdots\)
6040.2.a.j 6040.a 1.a $1$ $48.230$ \(\Q\) None \(0\) \(2\) \(-1\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{5}+2q^{7}+q^{9}+4q^{11}+\cdots\)
6040.2.a.k 6040.a 1.a $2$ $48.230$ \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(2\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+q^{5}+(-1+\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
6040.2.a.l 6040.a 1.a $9$ $48.230$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(0\) \(0\) \(9\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{7}q^{3}+q^{5}+(\beta _{1}+\beta _{4})q^{7}-\beta _{5}q^{9}+\cdots\)
6040.2.a.n 6040.a 1.a $13$ $48.230$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(0\) \(-4\) \(-13\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-q^{5}-\beta _{7}q^{7}+\beta _{2}q^{9}+(-1+\cdots)q^{11}+\cdots\)
6040.2.a.p 6040.a 1.a $19$ $48.230$ \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None \(0\) \(-5\) \(19\) \(-8\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+q^{5}+\beta _{3}q^{7}+(1+\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
6040.2.a.q 6040.a 1.a $23$ $48.230$ None \(0\) \(-4\) \(-23\) \(-9\) $+$ $+$ $+$ $\mathrm{SU}(2)$
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