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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
5376.2.a.a 5376.a 1.a $1$ $42.928$ \(\Q\) None \(0\) \(-1\) \(-2\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}-q^{7}+q^{9}-2q^{11}-6q^{13}+\cdots\)
5376.2.a.b 5376.a 1.a $1$ $42.928$ \(\Q\) None \(0\) \(-1\) \(-2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}+q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
5376.2.a.c 5376.a 1.a $1$ $42.928$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}-2q^{17}+4q^{19}+\cdots\)
5376.2.a.d 5376.a 1.a $1$ $42.928$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-2q^{17}+4q^{19}+\cdots\)
5376.2.a.e 5376.a 1.a $1$ $42.928$ \(\Q\) None \(0\) \(-1\) \(2\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}-q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots\)
5376.2.a.f 5376.a 1.a $1$ $42.928$ \(\Q\) None \(0\) \(-1\) \(2\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}+q^{7}+q^{9}-2q^{11}+6q^{13}+\cdots\)
5376.2.a.g 5376.a 1.a $1$ $42.928$ \(\Q\) None \(0\) \(1\) \(-2\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}-q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
5376.2.a.h 5376.a 1.a $1$ $42.928$ \(\Q\) None \(0\) \(1\) \(-2\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}+q^{7}+q^{9}+2q^{11}-6q^{13}+\cdots\)
5376.2.a.i 5376.a 1.a $1$ $42.928$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-2q^{17}-4q^{19}+\cdots\)
5376.2.a.j 5376.a 1.a $1$ $42.928$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-2q^{17}-4q^{19}+\cdots\)
5376.2.a.k 5376.a 1.a $1$ $42.928$ \(\Q\) None \(0\) \(1\) \(2\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}-q^{7}+q^{9}+2q^{11}+6q^{13}+\cdots\)
5376.2.a.l 5376.a 1.a $1$ $42.928$ \(\Q\) None \(0\) \(1\) \(2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
5376.2.a.m 5376.a 1.a $2$ $42.928$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-4\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(-2+\beta )q^{5}-q^{7}+q^{9}+\beta q^{11}+\cdots\)
5376.2.a.n 5376.a 1.a $2$ $42.928$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(-2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(-1+\beta )q^{5}-q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
5376.2.a.o 5376.a 1.a $2$ $42.928$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(-2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(-1+\beta )q^{5}-q^{7}+q^{9}+(3+\cdots)q^{11}+\cdots\)
5376.2.a.p 5376.a 1.a $2$ $42.928$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(-2\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(-1+\beta )q^{5}+q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
5376.2.a.q 5376.a 1.a $2$ $42.928$ \(\Q(\sqrt{6}) \) None \(0\) \(-2\) \(0\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+\beta q^{5}-q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots\)
5376.2.a.r 5376.a 1.a $2$ $42.928$ \(\Q(\sqrt{6}) \) None \(0\) \(-2\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+\beta q^{5}+q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots\)
5376.2.a.s 5376.a 1.a $2$ $42.928$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(1+\beta )q^{5}-q^{7}+q^{9}+(1+3\beta )q^{11}+\cdots\)
5376.2.a.t 5376.a 1.a $2$ $42.928$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(1+\beta )q^{5}+q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
5376.2.a.u 5376.a 1.a $2$ $42.928$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(1+\beta )q^{5}+q^{7}+q^{9}+(3+\beta )q^{11}+\cdots\)
5376.2.a.v 5376.a 1.a $2$ $42.928$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(4\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(2+\beta )q^{5}+q^{7}+q^{9}-\beta q^{11}+\cdots\)
5376.2.a.w 5376.a 1.a $2$ $42.928$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(-4\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+(-2+\beta )q^{5}+q^{7}+q^{9}-\beta q^{11}+\cdots\)
5376.2.a.x 5376.a 1.a $2$ $42.928$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(-2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+(-1+\beta )q^{5}-q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
5376.2.a.y 5376.a 1.a $2$ $42.928$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(-2\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+(-1+\beta )q^{5}+q^{7}+q^{9}+(-3+\cdots)q^{11}+\cdots\)
5376.2.a.z 5376.a 1.a $2$ $42.928$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(-2\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+(-1+\beta )q^{5}+q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
5376.2.a.ba 5376.a 1.a $2$ $42.928$ \(\Q(\sqrt{6}) \) None \(0\) \(2\) \(0\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta q^{5}-q^{7}+q^{9}+(2+\beta )q^{11}+\cdots\)
5376.2.a.bb 5376.a 1.a $2$ $42.928$ \(\Q(\sqrt{6}) \) None \(0\) \(2\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta q^{5}+q^{7}+q^{9}+(2-\beta )q^{11}+\cdots\)
5376.2.a.bc 5376.a 1.a $2$ $42.928$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+(1+\beta )q^{5}-q^{7}+q^{9}+(-3+\cdots)q^{11}+\cdots\)
5376.2.a.bd 5376.a 1.a $2$ $42.928$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+(1+\beta )q^{5}-q^{7}+q^{9}+(1-\beta )q^{11}+\cdots\)
5376.2.a.be 5376.a 1.a $2$ $42.928$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(2\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+(1+\beta )q^{5}+q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
5376.2.a.bf 5376.a 1.a $2$ $42.928$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(4\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+(2+\beta )q^{5}-q^{7}+q^{9}+\beta q^{11}+\cdots\)
5376.2.a.bg 5376.a 1.a $3$ $42.928$ 3.3.1016.1 None \(0\) \(-3\) \(0\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+\beta _{2}q^{5}-q^{7}+q^{9}+(1-\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.a.bh 5376.a 1.a $3$ $42.928$ 3.3.1016.1 None \(0\) \(-3\) \(0\) \(3\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-\beta _{2}q^{5}+q^{7}+q^{9}+(1-\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.a.bi 5376.a 1.a $3$ $42.928$ 3.3.1016.1 None \(0\) \(3\) \(0\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-\beta _{2}q^{5}-q^{7}+q^{9}+(-1+\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.a.bj 5376.a 1.a $3$ $42.928$ 3.3.1016.1 None \(0\) \(3\) \(0\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta _{2}q^{5}+q^{7}+q^{9}+(-1+\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.a.bk 5376.a 1.a $4$ $42.928$ 4.4.7232.1 None \(0\) \(-4\) \(-4\) \(4\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(-1-\beta _{1})q^{5}+q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.a.bl 5376.a 1.a $4$ $42.928$ 4.4.19664.1 None \(0\) \(-4\) \(-2\) \(4\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(-1-\beta _{3})q^{5}+q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots\)
5376.2.a.bm 5376.a 1.a $4$ $42.928$ 4.4.19664.1 None \(0\) \(-4\) \(2\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(1+\beta _{3})q^{5}-q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots\)
5376.2.a.bn 5376.a 1.a $4$ $42.928$ 4.4.7232.1 None \(0\) \(-4\) \(4\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(1+\beta _{1})q^{5}-q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.a.bo 5376.a 1.a $4$ $42.928$ 4.4.7232.1 None \(0\) \(4\) \(-4\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+(-1-\beta _{1})q^{5}-q^{7}+q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.a.bp 5376.a 1.a $4$ $42.928$ 4.4.19664.1 None \(0\) \(4\) \(-2\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+(-1-\beta _{3})q^{5}-q^{7}+q^{9}+(2+\cdots)q^{11}+\cdots\)
5376.2.a.bq 5376.a 1.a $4$ $42.928$ 4.4.19664.1 None \(0\) \(4\) \(2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+(1+\beta _{3})q^{5}+q^{7}+q^{9}+(2+\beta _{2}+\cdots)q^{11}+\cdots\)
5376.2.a.br 5376.a 1.a $4$ $42.928$ 4.4.7232.1 None \(0\) \(4\) \(4\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+(1+\beta _{1})q^{5}+q^{7}+q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.c.a 5376.c 8.b $2$ $42.928$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(-2\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+4iq^{5}-q^{7}-q^{9}-6iq^{11}+\cdots\)
5376.2.c.b 5376.c 8.b $2$ $42.928$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(-2\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+4iq^{5}-q^{7}-q^{9}+2iq^{11}+\cdots\)
5376.2.c.c 5376.c 8.b $2$ $42.928$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(-2\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+2iq^{5}-q^{7}-q^{9}+4iq^{11}+\cdots\)
5376.2.c.d 5376.c 8.b $2$ $42.928$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(-2\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+2iq^{5}-q^{7}-q^{9}-6iq^{13}+\cdots\)
5376.2.c.e 5376.c 8.b $2$ $42.928$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(-2\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+2iq^{5}-q^{7}-q^{9}-4iq^{11}+\cdots\)
5376.2.c.f 5376.c 8.b $2$ $42.928$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(-2\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+2iq^{5}-q^{7}-q^{9}+2iq^{13}+\cdots\)
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