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Results (14 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 5 11
9075.2.a.c 9075.a 1.a $1$ $72.464$ \(\Q\) None \(-1\) \(-1\) \(0\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}-q^{4}+q^{6}-4q^{7}+3q^{8}+\cdots\)
9075.2.a.o 9075.a 1.a $1$ $72.464$ \(\Q\) None \(1\) \(-1\) \(0\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}-q^{4}-q^{6}+4q^{7}-3q^{8}+\cdots\)
9075.2.a.y 9075.a 1.a $2$ $72.464$ \(\Q(\sqrt{5}) \) None \(-1\) \(-2\) \(0\) \(-6\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
9075.2.a.z 9075.a 1.a $2$ $72.464$ \(\Q(\sqrt{5}) \) None \(-1\) \(-2\) \(0\) \(-6\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
9075.2.a.bf 9075.a 1.a $2$ $72.464$ \(\Q(\sqrt{15}) \) None \(0\) \(-2\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{4}+\beta q^{7}+q^{9}+2q^{12}+\cdots\)
9075.2.a.bg 9075.a 1.a $2$ $72.464$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}-q^{3}+q^{4}-\beta q^{6}-2\beta q^{7}+\cdots\)
9075.2.a.bj 9075.a 1.a $2$ $72.464$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}-q^{3}+3q^{4}+\beta q^{6}-\beta q^{8}+\cdots\)
9075.2.a.bk 9075.a 1.a $2$ $72.464$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{2}-q^{3}+3q^{4}+\beta q^{6}-\beta q^{7}+\cdots\)
9075.2.a.cr 9075.a 1.a $4$ $72.464$ \(\Q(\zeta_{24})^+\) None \(0\) \(-4\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{2}-q^{3}-\beta _{2}q^{6}-\beta _{1}q^{7}-2\beta _{2}q^{8}+\cdots\)
9075.2.a.cs 9075.a 1.a $4$ $72.464$ \(\Q(\sqrt{3}, \sqrt{7})\) None \(0\) \(-4\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{3}q^{2}-q^{3}-\beta _{2}q^{4}-\beta _{3}q^{6}-2\beta _{3}q^{7}+\cdots\)
9075.2.a.cw 9075.a 1.a $4$ $72.464$ \(\Q(\sqrt{3}, \sqrt{11})\) None \(0\) \(-4\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{3})q^{4}-\beta _{1}q^{6}+\cdots\)
9075.2.a.cx 9075.a 1.a $4$ $72.464$ \(\Q(\sqrt{3}, \sqrt{5})\) None \(0\) \(-4\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(\beta _{1}+\beta _{2})q^{2}-q^{3}+(2+\beta _{3})q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots\)
9075.2.a.de 9075.a 1.a $4$ $72.464$ 4.4.5725.1 None \(1\) \(-4\) \(0\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-\beta _{1}+\beta _{2})q^{2}-q^{3}+(3-\beta _{2}-\beta _{3})q^{4}+\cdots\)
9075.2.a.dz 9075.a 1.a $12$ $72.464$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(4\) \(-12\) \(0\) \(8\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
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