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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 7 13
5824.2.a.a 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(-3\) \(0\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}+q^{7}+6q^{9}+5q^{11}+q^{13}+\cdots\)
5824.2.a.b 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(-3\) \(4\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}+4q^{5}-q^{7}+6q^{9}-q^{11}+\cdots\)
5824.2.a.c 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(-2\) \(-3\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-3q^{5}+q^{7}+q^{9}+q^{13}+6q^{15}+\cdots\)
5824.2.a.d 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(-2\) \(-1\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}+q^{7}+q^{9}-4q^{11}-q^{13}+\cdots\)
5824.2.a.e 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(-2\) \(1\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}-q^{7}+q^{9}+4q^{11}+q^{13}+\cdots\)
5824.2.a.f 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(-2\) \(3\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}+3q^{5}-q^{7}+q^{9}-q^{13}-6q^{15}+\cdots\)
5824.2.a.g 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(-1\) \(-4\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-4q^{5}-q^{7}-2q^{9}+q^{11}-q^{13}+\cdots\)
5824.2.a.h 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(-1\) \(-4\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-4q^{5}+q^{7}-2q^{9}-5q^{11}+\cdots\)
5824.2.a.i 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}-2q^{9}+q^{11}-q^{13}+4q^{17}+\cdots\)
5824.2.a.j 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}-2q^{9}+3q^{11}+q^{13}+\cdots\)
5824.2.a.k 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}-2q^{9}+3q^{11}-q^{13}+\cdots\)
5824.2.a.l 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(0\) \(-2\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}-q^{7}-3q^{9}-4q^{11}+q^{13}+\cdots\)
5824.2.a.m 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(0\) \(-2\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+q^{7}-3q^{9}+4q^{11}+q^{13}+\cdots\)
5824.2.a.n 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(0\) \(1\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-q^{7}-3q^{9}-2q^{11}-q^{13}+\cdots\)
5824.2.a.o 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(0\) \(1\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+q^{7}-3q^{9}+2q^{11}-q^{13}+\cdots\)
5824.2.a.p 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(0\) \(2\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}-q^{7}-3q^{9}+4q^{11}-q^{13}+\cdots\)
5824.2.a.q 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(0\) \(2\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}+q^{7}-3q^{9}-4q^{11}-q^{13}+\cdots\)
5824.2.a.r 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(0\) \(3\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+3q^{5}-q^{7}-3q^{9}-2q^{11}+q^{13}+\cdots\)
5824.2.a.s 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(0\) \(3\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+3q^{5}-q^{7}-3q^{9}+6q^{11}+q^{13}+\cdots\)
5824.2.a.t 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(0\) \(3\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{5}+q^{7}-3q^{9}-6q^{11}+q^{13}+\cdots\)
5824.2.a.u 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(0\) \(3\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{5}+q^{7}-3q^{9}+2q^{11}+q^{13}+\cdots\)
5824.2.a.v 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(1\) \(-4\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-4q^{5}-q^{7}-2q^{9}+5q^{11}+\cdots\)
5824.2.a.w 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(1\) \(-4\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-4q^{5}+q^{7}-2q^{9}-q^{11}-q^{13}+\cdots\)
5824.2.a.x 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}-2q^{9}-3q^{11}-q^{13}+\cdots\)
5824.2.a.y 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}-2q^{9}-3q^{11}+q^{13}+\cdots\)
5824.2.a.z 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}-2q^{9}-q^{11}-q^{13}+4q^{17}+\cdots\)
5824.2.a.ba 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(2\) \(-3\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}-3q^{5}-q^{7}+q^{9}+q^{13}-6q^{15}+\cdots\)
5824.2.a.bb 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(2\) \(-1\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{5}-q^{7}+q^{9}+4q^{11}-q^{13}+\cdots\)
5824.2.a.bc 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(2\) \(1\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}+q^{7}+q^{9}-4q^{11}+q^{13}+\cdots\)
5824.2.a.bd 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(2\) \(3\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}+3q^{5}+q^{7}+q^{9}-q^{13}+6q^{15}+\cdots\)
5824.2.a.be 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(3\) \(0\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}-q^{7}+6q^{9}-5q^{11}+q^{13}+\cdots\)
5824.2.a.bf 5824.a 1.a $1$ $46.505$ \(\Q\) None \(0\) \(3\) \(4\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+4q^{5}+q^{7}+6q^{9}+q^{11}+\cdots\)
5824.2.a.bg 5824.a 1.a $2$ $46.505$ \(\Q(\sqrt{2}) \) None \(0\) \(-4\) \(2\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-2+\beta )q^{3}+(1-\beta )q^{5}-q^{7}+(3+\cdots)q^{9}+\cdots\)
5824.2.a.bh 5824.a 1.a $2$ $46.505$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}-\beta q^{5}+q^{7}+(1-2\beta )q^{9}+\cdots\)
5824.2.a.bi 5824.a 1.a $2$ $46.505$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+\beta q^{5}+q^{7}+(1-2\beta )q^{9}+\cdots\)
5824.2.a.bj 5824.a 1.a $2$ $46.505$ \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(1\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(1-\beta )q^{5}-q^{7}+(1+\beta )q^{9}+\cdots\)
5824.2.a.bk 5824.a 1.a $2$ $46.505$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-6\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(-3+\beta )q^{5}-q^{7}-q^{9}+3\beta q^{11}+\cdots\)
5824.2.a.bl 5824.a 1.a $2$ $46.505$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-6\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(-3-\beta )q^{5}+q^{7}-q^{9}+3\beta q^{11}+\cdots\)
5824.2.a.bm 5824.a 1.a $2$ $46.505$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(2\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(1+\beta )q^{5}-q^{7}+3q^{9}+(-4+\cdots)q^{11}+\cdots\)
5824.2.a.bn 5824.a 1.a $2$ $46.505$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(2\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(1-\beta )q^{5}+q^{7}+3q^{9}+(4+\cdots)q^{11}+\cdots\)
5824.2.a.bo 5824.a 1.a $2$ $46.505$ \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(1\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(1-\beta )q^{5}+q^{7}+(1+\beta )q^{9}+\cdots\)
5824.2.a.bp 5824.a 1.a $2$ $46.505$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}-\beta q^{5}-q^{7}+(1+2\beta )q^{9}+\cdots\)
5824.2.a.bq 5824.a 1.a $2$ $46.505$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}+\beta q^{5}-q^{7}+(1+2\beta )q^{9}+\cdots\)
5824.2.a.br 5824.a 1.a $2$ $46.505$ \(\Q(\sqrt{2}) \) None \(0\) \(4\) \(2\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(2+\beta )q^{3}+(1+\beta )q^{5}+q^{7}+(3+4\beta )q^{9}+\cdots\)
5824.2.a.bs 5824.a 1.a $3$ $46.505$ 3.3.316.1 None \(0\) \(-2\) \(-2\) \(3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1}-\beta _{2})q^{3}+(-1+\beta _{1})q^{5}+\cdots\)
5824.2.a.bt 5824.a 1.a $3$ $46.505$ 3.3.564.1 None \(0\) \(-2\) \(-1\) \(-3\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots\)
5824.2.a.bu 5824.a 1.a $3$ $46.505$ 3.3.148.1 None \(0\) \(0\) \(-1\) \(-3\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{3}-\beta _{1}q^{5}-q^{7}+(-\beta _{1}-\beta _{2})q^{9}+\cdots\)
5824.2.a.bv 5824.a 1.a $3$ $46.505$ 3.3.148.1 None \(0\) \(0\) \(-1\) \(3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{3}-\beta _{1}q^{5}+q^{7}+(-\beta _{1}-\beta _{2})q^{9}+\cdots\)
5824.2.a.bw 5824.a 1.a $3$ $46.505$ 3.3.148.1 None \(0\) \(0\) \(5\) \(-3\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{3}+(2-\beta _{1})q^{5}-q^{7}+(-\beta _{1}+\cdots)q^{9}+\cdots\)
5824.2.a.bx 5824.a 1.a $3$ $46.505$ 3.3.148.1 None \(0\) \(0\) \(5\) \(3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{3}+(2-\beta _{1})q^{5}+q^{7}+(-\beta _{1}+\cdots)q^{9}+\cdots\)
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