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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 7
4704.2.a.a 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(-1\) \(-4\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-4q^{5}+q^{9}+6q^{11}+5q^{13}+\cdots\)
4704.2.a.b 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(-1\) \(-3\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-3q^{5}+q^{9}-q^{11}+4q^{13}+\cdots\)
4704.2.a.c 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(-1\) \(-2\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}+q^{9}-2q^{13}+2q^{15}+\cdots\)
4704.2.a.d 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(-1\) \(-2\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}+q^{9}+2q^{11}+2q^{15}+\cdots\)
4704.2.a.e 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(-1\) \(-2\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots\)
4704.2.a.f 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+q^{9}-q^{11}+q^{15}+8q^{17}+\cdots\)
4704.2.a.g 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(-1\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{9}-2q^{11}+q^{13}-2q^{17}+\cdots\)
4704.2.a.h 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(-1\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{9}-2q^{11}+5q^{13}-2q^{17}+\cdots\)
4704.2.a.i 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(-1\) \(0\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{9}+2q^{11}-5q^{13}+2q^{17}+\cdots\)
4704.2.a.j 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(-1\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{9}+2q^{11}-q^{13}+2q^{17}+\cdots\)
4704.2.a.k 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(-1\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{9}+2q^{11}+2q^{13}-4q^{17}+\cdots\)
4704.2.a.l 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{9}+q^{11}-q^{15}-8q^{17}+\cdots\)
4704.2.a.m 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(-1\) \(2\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}+q^{9}-4q^{11}+6q^{13}+\cdots\)
4704.2.a.n 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(-1\) \(2\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}+q^{9}-2q^{11}-2q^{15}+\cdots\)
4704.2.a.o 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(-1\) \(3\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{5}+q^{9}+q^{11}-4q^{13}+\cdots\)
4704.2.a.p 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(-1\) \(4\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+4q^{5}+q^{9}-6q^{11}-5q^{13}+\cdots\)
4704.2.a.q 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(-1\) \(4\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+4q^{5}+q^{9}-2q^{11}+2q^{13}+\cdots\)
4704.2.a.r 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(-4\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-4q^{5}+q^{9}-6q^{11}+5q^{13}+\cdots\)
4704.2.a.s 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(-3\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{5}+q^{9}+q^{11}+4q^{13}+\cdots\)
4704.2.a.t 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(-2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots\)
4704.2.a.u 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(-2\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}+q^{9}-2q^{11}-2q^{15}+\cdots\)
4704.2.a.v 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(-2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}+q^{9}-2q^{13}-2q^{15}+\cdots\)
4704.2.a.w 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+q^{11}-q^{15}+8q^{17}+\cdots\)
4704.2.a.x 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(0\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{9}-2q^{11}-5q^{13}+2q^{17}+\cdots\)
4704.2.a.y 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(0\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{9}-2q^{11}-q^{13}+2q^{17}+\cdots\)
4704.2.a.z 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(0\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{9}-2q^{11}+2q^{13}-4q^{17}+\cdots\)
4704.2.a.ba 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(0\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{9}+2q^{11}+q^{13}-2q^{17}+\cdots\)
4704.2.a.bb 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{9}+2q^{11}+5q^{13}-2q^{17}+\cdots\)
4704.2.a.bc 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{9}-q^{11}+q^{15}-8q^{17}+\cdots\)
4704.2.a.bd 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+q^{9}+2q^{11}+2q^{15}+\cdots\)
4704.2.a.be 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+q^{9}+4q^{11}+6q^{13}+\cdots\)
4704.2.a.bf 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(3\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+3q^{5}+q^{9}-q^{11}-4q^{13}+\cdots\)
4704.2.a.bg 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+4q^{5}+q^{9}+2q^{11}+2q^{13}+\cdots\)
4704.2.a.bh 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+4q^{5}+q^{9}+6q^{11}-5q^{13}+\cdots\)
4704.2.a.bi 4704.a 1.a $2$ $37.562$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+\beta q^{5}+q^{9}+\beta q^{11}-\beta q^{15}+\cdots\)
4704.2.a.bj 4704.a 1.a $2$ $37.562$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+\beta q^{5}+q^{9}-2\beta q^{11}+\beta q^{13}+\cdots\)
4704.2.a.bk 4704.a 1.a $2$ $37.562$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{9}+\beta q^{11}+\beta q^{13}+\beta q^{17}+\cdots\)
4704.2.a.bl 4704.a 1.a $2$ $37.562$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+\beta q^{5}+q^{9}+2\beta q^{11}-3\beta q^{13}+\cdots\)
4704.2.a.bm 4704.a 1.a $2$ $37.562$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+\beta q^{5}+q^{9}+(2+\beta )q^{11}-2q^{13}+\cdots\)
4704.2.a.bn 4704.a 1.a $2$ $37.562$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta q^{5}+q^{9}+(-2-\beta )q^{11}+\cdots\)
4704.2.a.bo 4704.a 1.a $2$ $37.562$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta q^{5}+q^{9}-2\beta q^{11}-3\beta q^{13}+\cdots\)
4704.2.a.bp 4704.a 1.a $2$ $37.562$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{9}-\beta q^{11}+\beta q^{13}+\beta q^{17}+\cdots\)
4704.2.a.bq 4704.a 1.a $2$ $37.562$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta q^{5}+q^{9}+2\beta q^{11}+\beta q^{13}+\cdots\)
4704.2.a.br 4704.a 1.a $2$ $37.562$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta q^{5}+q^{9}-\beta q^{11}+\beta q^{15}+\cdots\)
4704.2.a.bs 4704.a 1.a $3$ $37.562$ 3.3.621.1 None \(0\) \(-3\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+\beta _{2}q^{5}+q^{9}+(\beta _{1}+\beta _{2})q^{11}+\cdots\)
4704.2.a.bt 4704.a 1.a $3$ $37.562$ 3.3.621.1 None \(0\) \(-3\) \(0\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-\beta _{2}q^{5}+q^{9}+(-\beta _{1}-\beta _{2})q^{11}+\cdots\)
4704.2.a.bu 4704.a 1.a $3$ $37.562$ 3.3.621.1 None \(0\) \(3\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta _{2}q^{5}+q^{9}+(-\beta _{1}-\beta _{2})q^{11}+\cdots\)
4704.2.a.bv 4704.a 1.a $3$ $37.562$ 3.3.621.1 None \(0\) \(3\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-\beta _{2}q^{5}+q^{9}+(\beta _{1}+\beta _{2})q^{11}+\cdots\)
4704.2.a.bw 4704.a 1.a $4$ $37.562$ 4.4.2624.1 None \(0\) \(-4\) \(-4\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(-1+\beta _{3})q^{5}+q^{9}+(1-\beta _{2}+\cdots)q^{11}+\cdots\)
4704.2.a.bx 4704.a 1.a $4$ $37.562$ 4.4.2624.1 None \(0\) \(-4\) \(4\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(1+\beta _{3})q^{5}+q^{9}+(-1-\beta _{2}+\cdots)q^{11}+\cdots\)
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