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Results (16 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 23
3312.2.a.b 3312.a 1.a $1$ $26.446$ \(\Q\) None \(0\) \(0\) \(-4\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-4q^{5}+4q^{7}+2q^{11}-2q^{13}+2q^{17}+\cdots\)
3312.2.a.c 3312.a 1.a $1$ $26.446$ \(\Q\) None \(0\) \(0\) \(-2\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}-2q^{7}+4q^{11}-2q^{13}-2q^{17}+\cdots\)
3312.2.a.m 3312.a 1.a $1$ $26.446$ \(\Q\) None \(0\) \(0\) \(2\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}-2q^{7}-2q^{11}-2q^{13}+4q^{17}+\cdots\)
3312.2.a.o 3312.a 1.a $1$ $26.446$ \(\Q\) None \(0\) \(0\) \(2\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}+4q^{7}-2q^{11}+7q^{13}+4q^{17}+\cdots\)
3312.2.a.p 3312.a 1.a $1$ $26.446$ \(\Q\) None \(0\) \(0\) \(2\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}+4q^{7}-2q^{13}+2q^{17}+4q^{19}+\cdots\)
3312.2.a.q 3312.a 1.a $1$ $26.446$ \(\Q\) None \(0\) \(0\) \(2\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+4q^{7}+2q^{11}-5q^{13}-4q^{17}+\cdots\)
3312.2.a.s 3312.a 1.a $2$ $26.446$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-2+\beta )q^{5}+\beta q^{7}+4\beta q^{11}+4\beta q^{13}+\cdots\)
3312.2.a.t 3312.a 1.a $2$ $26.446$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(-4\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}+(2-2\beta )q^{11}+(3-\beta )q^{13}+\cdots\)
3312.2.a.v 3312.a 1.a $2$ $26.446$ \(\Q(\sqrt{7}) \) None \(0\) \(0\) \(-2\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{5}-2q^{7}+(-1+\beta )q^{11}+\cdots\)
3312.2.a.ba 3312.a 1.a $2$ $26.446$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(2\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{5}+(-1+\beta )q^{7}+(-3+\beta )q^{11}+\cdots\)
3312.2.a.bb 3312.a 1.a $2$ $26.446$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(2\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{5}+(-1+\beta )q^{7}+4q^{11}+\cdots\)
3312.2.a.bc 3312.a 1.a $2$ $26.446$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{5}-2\beta q^{7}+(-3+\beta )q^{11}+\cdots\)
3312.2.a.bd 3312.a 1.a $2$ $26.446$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(2\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{5}+(1+\beta )q^{7}+(2+2\beta )q^{11}+\cdots\)
3312.2.a.be 3312.a 1.a $2$ $26.446$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(4\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(2+\beta )q^{5}+(2-\beta )q^{7}-2\beta q^{11}+(6+\cdots)q^{17}+\cdots\)
3312.2.a.bf 3312.a 1.a $3$ $26.446$ 3.3.148.1 None \(0\) \(0\) \(0\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{5}+(-1-\beta _{1})q^{7}+(1-\beta _{1}-\beta _{2})q^{11}+\cdots\)
3312.2.a.bh 3312.a 1.a $4$ $26.446$ 4.4.44688.2 None \(0\) \(0\) \(4\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{5}+(-1-\beta _{1}+\beta _{2})q^{7}+\cdots\)
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