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Results (30 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 11
8712.2.a.c 8712.a 1.a $1$ $69.566$ \(\Q\) None \(0\) \(0\) \(-3\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{5}+4q^{7}+3q^{13}-3q^{17}+4q^{19}+\cdots\)
8712.2.a.d 8712.a 1.a $1$ $69.566$ \(\Q\) None \(0\) \(0\) \(-2\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}-2q^{7}-2q^{13}-2q^{17}-4q^{19}+\cdots\)
8712.2.a.e 8712.a 1.a $1$ $69.566$ \(\Q\) None \(0\) \(0\) \(-2\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}-2q^{7}-6q^{17}+6q^{19}+4q^{23}+\cdots\)
8712.2.a.j 8712.a 1.a $1$ $69.566$ \(\Q\) None \(0\) \(0\) \(-1\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+4q^{7}+4q^{13}-4q^{17}-4q^{19}+\cdots\)
8712.2.a.k 8712.a 1.a $1$ $69.566$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{7}-2q^{17}-8q^{19}+2q^{23}-5q^{25}+\cdots\)
8712.2.a.m 8712.a 1.a $1$ $69.566$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{7}-6q^{13}+4q^{17}+q^{19}+2q^{23}+\cdots\)
8712.2.a.o 8712.a 1.a $1$ $69.566$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{7}+6q^{13}+6q^{17}+2q^{19}+8q^{23}+\cdots\)
8712.2.a.p 8712.a 1.a $1$ $69.566$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{13}-3q^{17}-4q^{23}-4q^{25}+\cdots\)
8712.2.a.t 8712.a 1.a $1$ $69.566$ \(\Q\) None \(0\) \(0\) \(2\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}-2q^{7}+4q^{13}+2q^{17}+2q^{19}+\cdots\)
8712.2.a.u 8712.a 1.a $1$ $69.566$ \(\Q\) None \(0\) \(0\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+2q^{13}+2q^{17}+4q^{19}+8q^{23}+\cdots\)
8712.2.a.w 8712.a 1.a $1$ $69.566$ \(\Q\) None \(0\) \(0\) \(2\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}+2q^{7}+2q^{13}-2q^{17}+4q^{19}+\cdots\)
8712.2.a.z 8712.a 1.a $1$ $69.566$ \(\Q\) None \(0\) \(0\) \(4\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+4q^{5}+4q^{7}-6q^{13}+6q^{17}+6q^{19}+\cdots\)
8712.2.a.bb 8712.a 1.a $2$ $69.566$ \(\Q(\sqrt{17}) \) None \(0\) \(0\) \(-3\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{5}+(2-2\beta )q^{7}+2\beta q^{13}+\cdots\)
8712.2.a.bd 8712.a 1.a $2$ $69.566$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(-2\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-2q^{7}+(-2-\beta )q^{13}+(2-\beta )q^{17}+\cdots\)
8712.2.a.bh 8712.a 1.a $2$ $69.566$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(-4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{5}+(-2+\beta )q^{7}+(-2-\beta )q^{13}+\cdots\)
8712.2.a.bk 8712.a 1.a $2$ $69.566$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(0\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{5}+(1+\beta )q^{7}+(4-\beta )q^{13}-q^{17}+\cdots\)
8712.2.a.bl 8712.a 1.a $2$ $69.566$ \(\Q(\sqrt{33}) \) None \(0\) \(0\) \(1\) \(-1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{5}+(-1+\beta )q^{7}+(-2+\beta )q^{13}+\cdots\)
8712.2.a.bs 8712.a 1.a $2$ $69.566$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(4\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(2+\beta )q^{5}+(1+\beta )q^{7}+(1+2\beta )q^{13}+\cdots\)
8712.2.a.bt 8712.a 1.a $2$ $69.566$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(5\) \(-4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(3-\beta )q^{5}+(-1-2\beta )q^{7}+(-1+2\beta )q^{13}+\cdots\)
8712.2.a.bu 8712.a 1.a $2$ $69.566$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(5\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(3-\beta )q^{5}+(1+2\beta )q^{7}+(1-2\beta )q^{13}+\cdots\)
8712.2.a.bw 8712.a 1.a $3$ $69.566$ 3.3.1436.1 None \(0\) \(0\) \(0\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{5}-\beta _{2}q^{7}+(1+\beta _{2})q^{13}+(2+\cdots)q^{17}+\cdots\)
8712.2.a.by 8712.a 1.a $3$ $69.566$ 3.3.1436.1 None \(0\) \(0\) \(0\) \(1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{5}+\beta _{2}q^{7}+(-1-\beta _{2})q^{13}+\cdots\)
8712.2.a.bz 8712.a 1.a $4$ $69.566$ 4.4.13625.1 None \(0\) \(0\) \(-2\) \(-5\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{5}+(-2+\beta _{2}-2\beta _{3})q^{7}+(\beta _{1}+\cdots)q^{13}+\cdots\)
8712.2.a.cb 8712.a 1.a $4$ $69.566$ 4.4.46224.1 None \(0\) \(0\) \(-2\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{5}+(1+\beta _{1}+\beta _{2}-\beta _{3})q^{7}+(3+\cdots)q^{13}+\cdots\)
8712.2.a.cc 8712.a 1.a $4$ $69.566$ 4.4.13625.1 None \(0\) \(0\) \(-2\) \(5\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{5}+(2-\beta _{2}+2\beta _{3})q^{7}+(-\beta _{1}+\cdots)q^{13}+\cdots\)
8712.2.a.cd 8712.a 1.a $4$ $69.566$ 4.4.5225.1 None \(0\) \(0\) \(-1\) \(-1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1}+\beta _{3})q^{5}+(\beta _{1}+\beta _{2})q^{7}+\cdots\)
8712.2.a.ce 8712.a 1.a $4$ $69.566$ 4.4.5225.1 None \(0\) \(0\) \(-1\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1}+\beta _{3})q^{5}+(-\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)
8712.2.a.cg 8712.a 1.a $4$ $69.566$ \(\Q(\sqrt{3}, \sqrt{19})\) None \(0\) \(0\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{5}+(\beta _{1}-\beta _{2})q^{7}+\beta _{1}q^{13}+(2+\cdots)q^{17}+\cdots\)
8712.2.a.cj 8712.a 1.a $6$ $69.566$ 6.6.62158000.1 None \(0\) \(0\) \(5\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{2})q^{5}+(\beta _{1}+\beta _{5})q^{7}+(-1+\beta _{2}+\cdots)q^{13}+\cdots\)
8712.2.a.ck 8712.a 1.a $6$ $69.566$ 6.6.62158000.1 None \(0\) \(0\) \(5\) \(1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{2})q^{5}+(-\beta _{1}-\beta _{5})q^{7}+(1-\beta _{2}+\cdots)q^{13}+\cdots\)
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