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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 13
8112.2.a.a 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(-1\) \(-4\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-4q^{5}+2q^{7}+q^{9}-2q^{11}+\cdots\)
8112.2.a.b 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(-1\) \(-3\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-3q^{5}+q^{9}+3q^{15}-q^{17}+\cdots\)
8112.2.a.c 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(-1\) \(-3\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-3q^{5}+2q^{7}+q^{9}+6q^{11}+\cdots\)
8112.2.a.d 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(-1\) \(-2\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}-4q^{7}+q^{9}+6q^{11}+\cdots\)
8112.2.a.e 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(-1\) \(-2\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}-2q^{7}+q^{9}-4q^{11}+\cdots\)
8112.2.a.f 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(-1\) \(-2\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}+q^{9}+2q^{15}+2q^{17}+\cdots\)
8112.2.a.g 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(-1\) \(-2\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}+2q^{7}+q^{9}+2q^{15}+\cdots\)
8112.2.a.h 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(-1\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{9}+6q^{11}+2q^{17}-4q^{23}+\cdots\)
8112.2.a.i 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(-1\) \(0\) \(2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{7}+q^{9}-6q^{17}+2q^{19}+\cdots\)
8112.2.a.j 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(-1\) \(2\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}-2q^{7}+q^{9}-2q^{15}+\cdots\)
8112.2.a.k 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(-1\) \(2\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}+2q^{7}+q^{9}+4q^{11}+\cdots\)
8112.2.a.l 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(-1\) \(2\) \(4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}+4q^{7}+q^{9}-6q^{11}+\cdots\)
8112.2.a.m 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(-1\) \(3\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{5}-2q^{7}+q^{9}-6q^{11}+\cdots\)
8112.2.a.n 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(-1\) \(3\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{5}+q^{9}-3q^{15}-q^{17}+\cdots\)
8112.2.a.o 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(-1\) \(4\) \(-4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+4q^{5}-4q^{7}+q^{9}-2q^{11}+\cdots\)
8112.2.a.p 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(-1\) \(4\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+4q^{5}-2q^{7}+q^{9}+2q^{11}+\cdots\)
8112.2.a.q 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(1\) \(-4\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-4q^{5}+q^{9}-2q^{11}-4q^{15}+\cdots\)
8112.2.a.r 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(1\) \(-3\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{5}-4q^{7}+q^{9}+4q^{11}+\cdots\)
8112.2.a.s 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(1\) \(-2\) \(-4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}-4q^{7}+q^{9}+4q^{11}+\cdots\)
8112.2.a.t 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(1\) \(-2\) \(-1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}-q^{7}+q^{9}+6q^{11}-2q^{15}+\cdots\)
8112.2.a.u 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(1\) \(-2\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}+q^{7}+q^{9}+2q^{11}-2q^{15}+\cdots\)
8112.2.a.v 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(1\) \(-2\) \(4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}+4q^{7}+q^{9}-4q^{11}+\cdots\)
8112.2.a.w 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(1\) \(-1\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-2q^{7}+q^{9}+2q^{11}-q^{15}+\cdots\)
8112.2.a.x 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(1\) \(-1\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+2q^{7}+q^{9}-2q^{11}-q^{15}+\cdots\)
8112.2.a.y 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(1\) \(0\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-4q^{7}+q^{9}-2q^{11}-6q^{17}+\cdots\)
8112.2.a.z 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(1\) \(0\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{7}+q^{9}-2q^{11}-2q^{17}+\cdots\)
8112.2.a.ba 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(1\) \(0\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{7}+q^{9}+2q^{11}-2q^{17}+\cdots\)
8112.2.a.bb 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(1\) \(1\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{7}+q^{9}+2q^{11}+q^{15}+\cdots\)
8112.2.a.bc 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(1\) \(1\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+2q^{7}+q^{9}-2q^{11}+q^{15}+\cdots\)
8112.2.a.bd 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(1\) \(2\) \(-1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}-q^{7}+q^{9}-2q^{11}+2q^{15}+\cdots\)
8112.2.a.be 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(1\) \(2\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+q^{9}+4q^{11}+2q^{15}+\cdots\)
8112.2.a.bf 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(1\) \(2\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+q^{7}+q^{9}-6q^{11}+2q^{15}+\cdots\)
8112.2.a.bg 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(1\) \(2\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+4q^{7}+q^{9}+2q^{15}+\cdots\)
8112.2.a.bh 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(1\) \(3\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+3q^{5}+4q^{7}+q^{9}-4q^{11}+\cdots\)
8112.2.a.bi 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(1\) \(4\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+4q^{5}-2q^{7}+q^{9}-4q^{11}+\cdots\)
8112.2.a.bj 8112.a 1.a $2$ $64.775$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(-4\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(-2+\beta )q^{5}+(-1+\beta )q^{7}+\cdots\)
8112.2.a.bk 8112.a 1.a $2$ $64.775$ \(\Q(\sqrt{17}) \) None \(0\) \(-2\) \(-3\) \(3\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(-1-\beta )q^{5}+(2-\beta )q^{7}+q^{9}+\cdots\)
8112.2.a.bl 8112.a 1.a $2$ $64.775$ \(\Q(\sqrt{13}) \) None \(0\) \(-2\) \(-2\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+(-1+\beta )q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
8112.2.a.bm 8112.a 1.a $2$ $64.775$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+\beta q^{5}+\beta q^{7}+q^{9}-2q^{11}+\cdots\)
8112.2.a.bn 8112.a 1.a $2$ $64.775$ \(\Q(\sqrt{13}) \) None \(0\) \(-2\) \(2\) \(2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+(1+\beta )q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
8112.2.a.bo 8112.a 1.a $2$ $64.775$ \(\Q(\sqrt{17}) \) None \(0\) \(-2\) \(3\) \(-3\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(1+\beta )q^{5}+(-2+\beta )q^{7}+q^{9}+\cdots\)
8112.2.a.bp 8112.a 1.a $2$ $64.775$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(4\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(2+\beta )q^{5}+(1+\beta )q^{7}+q^{9}+\cdots\)
8112.2.a.bq 8112.a 1.a $2$ $64.775$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(-6\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta q^{5}+(-3+\beta )q^{7}+q^{9}+(-3+\cdots)q^{11}+\cdots\)
8112.2.a.br 8112.a 1.a $2$ $64.775$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta q^{5}+(-1-\beta )q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
8112.2.a.bs 8112.a 1.a $2$ $64.775$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta q^{5}+q^{9}+\beta q^{11}+\beta q^{15}+\cdots\)
8112.2.a.bt 8112.a 1.a $2$ $64.775$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta q^{5}+2\beta q^{7}+q^{9}-2\beta q^{11}+\cdots\)
8112.2.a.bu 8112.a 1.a $2$ $64.775$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2\beta q^{5}-\beta q^{7}+q^{9}+2\beta q^{11}+\cdots\)
8112.2.a.bv 8112.a 1.a $2$ $64.775$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-\beta q^{7}+q^{9}-\beta q^{11}+6q^{17}+\cdots\)
8112.2.a.bw 8112.a 1.a $2$ $64.775$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta q^{5}+(1-\beta )q^{7}+q^{9}+(1-\beta )q^{11}+\cdots\)
8112.2.a.bx 8112.a 1.a $2$ $64.775$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(6\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta q^{5}+(3+\beta )q^{7}+q^{9}+(3+\beta )q^{11}+\cdots\)
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