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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
7938.2.a.a 7938.a 1.a $1$ $63.385$ \(\Q\) None \(-1\) \(0\) \(-4\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-4q^{5}-q^{8}+4q^{10}-2q^{11}+\cdots\)
7938.2.a.b 7938.a 1.a $1$ $63.385$ \(\Q\) None \(-1\) \(0\) \(-3\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-3q^{5}-q^{8}+3q^{10}-3q^{11}+\cdots\)
7938.2.a.c 7938.a 1.a $1$ $63.385$ \(\Q\) None \(-1\) \(0\) \(-3\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-3q^{5}-q^{8}+3q^{10}+3q^{11}+\cdots\)
7938.2.a.d 7938.a 1.a $1$ $63.385$ \(\Q\) None \(-1\) \(0\) \(-3\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-3q^{5}-q^{8}+3q^{10}+6q^{11}+\cdots\)
7938.2.a.e 7938.a 1.a $1$ $63.385$ \(\Q\) None \(-1\) \(0\) \(-2\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}+q^{11}+\cdots\)
7938.2.a.f 7938.a 1.a $1$ $63.385$ \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}+2q^{11}+\cdots\)
7938.2.a.g 7938.a 1.a $1$ $63.385$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}-4q^{13}+q^{16}-6q^{17}+\cdots\)
7938.2.a.h 7938.a 1.a $1$ $63.385$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}+4q^{13}+q^{16}+6q^{17}+\cdots\)
7938.2.a.i 7938.a 1.a $1$ $63.385$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}+3q^{11}-2q^{13}+\cdots\)
7938.2.a.j 7938.a 1.a $1$ $63.385$ \(\Q\) None \(-1\) \(0\) \(1\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-2q^{11}+\cdots\)
7938.2.a.k 7938.a 1.a $1$ $63.385$ \(\Q\) None \(-1\) \(0\) \(1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}+2q^{11}+\cdots\)
7938.2.a.l 7938.a 1.a $1$ $63.385$ \(\Q\) None \(-1\) \(0\) \(3\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+3q^{5}-q^{8}-3q^{10}-6q^{11}+\cdots\)
7938.2.a.m 7938.a 1.a $1$ $63.385$ \(\Q\) None \(-1\) \(0\) \(3\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+3q^{5}-q^{8}-3q^{10}-3q^{11}+\cdots\)
7938.2.a.n 7938.a 1.a $1$ $63.385$ \(\Q\) None \(-1\) \(0\) \(3\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+3q^{5}-q^{8}-3q^{10}+q^{13}+\cdots\)
7938.2.a.o 7938.a 1.a $1$ $63.385$ \(\Q\) None \(-1\) \(0\) \(3\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+3q^{5}-q^{8}-3q^{10}+3q^{11}+\cdots\)
7938.2.a.p 7938.a 1.a $1$ $63.385$ \(\Q\) None \(-1\) \(0\) \(4\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+4q^{5}-q^{8}-4q^{10}-2q^{11}+\cdots\)
7938.2.a.q 7938.a 1.a $1$ $63.385$ \(\Q\) None \(1\) \(0\) \(-4\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-4q^{5}+q^{8}-4q^{10}+2q^{11}+\cdots\)
7938.2.a.r 7938.a 1.a $1$ $63.385$ \(\Q\) None \(1\) \(0\) \(-3\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-3q^{5}+q^{8}-3q^{10}-3q^{11}+\cdots\)
7938.2.a.s 7938.a 1.a $1$ $63.385$ \(\Q\) None \(1\) \(0\) \(-3\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-3q^{5}+q^{8}-3q^{10}+q^{13}+\cdots\)
7938.2.a.t 7938.a 1.a $1$ $63.385$ \(\Q\) None \(1\) \(0\) \(-3\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-3q^{5}+q^{8}-3q^{10}+3q^{11}+\cdots\)
7938.2.a.u 7938.a 1.a $1$ $63.385$ \(\Q\) None \(1\) \(0\) \(-3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-3q^{5}+q^{8}-3q^{10}+6q^{11}+\cdots\)
7938.2.a.v 7938.a 1.a $1$ $63.385$ \(\Q\) None \(1\) \(0\) \(-1\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}-2q^{11}+\cdots\)
7938.2.a.w 7938.a 1.a $1$ $63.385$ \(\Q\) None \(1\) \(0\) \(-1\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+2q^{11}+\cdots\)
7938.2.a.x 7938.a 1.a $1$ $63.385$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}-3q^{11}-2q^{13}+\cdots\)
7938.2.a.y 7938.a 1.a $1$ $63.385$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}-4q^{13}+q^{16}+6q^{17}+\cdots\)
7938.2.a.z 7938.a 1.a $1$ $63.385$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}+4q^{13}+q^{16}-6q^{17}+\cdots\)
7938.2.a.ba 7938.a 1.a $1$ $63.385$ \(\Q\) None \(1\) \(0\) \(1\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}-2q^{11}+\cdots\)
7938.2.a.bb 7938.a 1.a $1$ $63.385$ \(\Q\) None \(1\) \(0\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+2q^{5}+q^{8}+2q^{10}-q^{11}+\cdots\)
7938.2.a.bc 7938.a 1.a $1$ $63.385$ \(\Q\) None \(1\) \(0\) \(3\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+3q^{5}+q^{8}+3q^{10}-6q^{11}+\cdots\)
7938.2.a.bd 7938.a 1.a $1$ $63.385$ \(\Q\) None \(1\) \(0\) \(3\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+3q^{5}+q^{8}+3q^{10}-3q^{11}+\cdots\)
7938.2.a.be 7938.a 1.a $1$ $63.385$ \(\Q\) None \(1\) \(0\) \(3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+3q^{5}+q^{8}+3q^{10}+3q^{11}+\cdots\)
7938.2.a.bf 7938.a 1.a $1$ $63.385$ \(\Q\) None \(1\) \(0\) \(4\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+4q^{5}+q^{8}+4q^{10}+2q^{11}+\cdots\)
7938.2.a.bg 7938.a 1.a $2$ $63.385$ \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(-4\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(-2+\beta )q^{5}-q^{8}+(2+\cdots)q^{10}+\cdots\)
7938.2.a.bh 7938.a 1.a $2$ $63.385$ \(\Q(\sqrt{33}) \) None \(-2\) \(0\) \(-3\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(-1-\beta )q^{5}-q^{8}+(1+\cdots)q^{10}+\cdots\)
7938.2.a.bi 7938.a 1.a $2$ $63.385$ \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(0\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+\beta q^{5}-q^{8}-\beta q^{10}+(-3+\cdots)q^{11}+\cdots\)
7938.2.a.bj 7938.a 1.a $2$ $63.385$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}-\beta q^{11}+(-2-\beta )q^{13}+\cdots\)
7938.2.a.bk 7938.a 1.a $2$ $63.385$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}+\beta q^{11}+(2-\beta )q^{13}+\cdots\)
7938.2.a.bl 7938.a 1.a $2$ $63.385$ \(\Q(\sqrt{7}) \) None \(-2\) \(0\) \(0\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+\beta q^{5}-q^{8}-\beta q^{10}+2q^{11}+\cdots\)
7938.2.a.bm 7938.a 1.a $2$ $63.385$ \(\Q(\sqrt{6}) \) None \(-2\) \(0\) \(2\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(1+\beta )q^{5}-q^{8}+(-1+\cdots)q^{10}+\cdots\)
7938.2.a.bn 7938.a 1.a $2$ $63.385$ \(\Q(\sqrt{6}) \) None \(2\) \(0\) \(-2\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+(-1+\beta )q^{5}+q^{8}+(-1+\cdots)q^{10}+\cdots\)
7938.2.a.bo 7938.a 1.a $2$ $63.385$ \(\Q(\sqrt{7}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+\beta q^{5}+q^{8}+\beta q^{10}-2q^{11}+\cdots\)
7938.2.a.bp 7938.a 1.a $2$ $63.385$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}+\beta q^{11}+(-2-\beta )q^{13}+\cdots\)
7938.2.a.bq 7938.a 1.a $2$ $63.385$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}+\beta q^{11}+(2+\beta )q^{13}+\cdots\)
7938.2.a.br 7938.a 1.a $2$ $63.385$ \(\Q(\sqrt{3}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+\beta q^{5}+q^{8}+\beta q^{10}+(3+\cdots)q^{11}+\cdots\)
7938.2.a.bs 7938.a 1.a $2$ $63.385$ \(\Q(\sqrt{33}) \) None \(2\) \(0\) \(3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+(1+\beta )q^{5}+q^{8}+(1+\beta )q^{10}+\cdots\)
7938.2.a.bt 7938.a 1.a $2$ $63.385$ \(\Q(\sqrt{3}) \) None \(2\) \(0\) \(4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+(2+\beta )q^{5}+q^{8}+(2+\beta )q^{10}+\cdots\)
7938.2.a.bu 7938.a 1.a $3$ $63.385$ 3.3.321.1 None \(-3\) \(0\) \(-5\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(-2+\beta _{1})q^{5}-q^{8}+(2+\cdots)q^{10}+\cdots\)
7938.2.a.bv 7938.a 1.a $3$ $63.385$ 3.3.321.1 None \(-3\) \(0\) \(-1\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+\beta _{2}q^{5}-q^{8}-\beta _{2}q^{10}+\cdots\)
7938.2.a.bw 7938.a 1.a $3$ $63.385$ 3.3.321.1 None \(-3\) \(0\) \(1\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-\beta _{2}q^{5}-q^{8}+\beta _{2}q^{10}+\cdots\)
7938.2.a.bx 7938.a 1.a $3$ $63.385$ 3.3.321.1 None \(-3\) \(0\) \(5\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(2-\beta _{1})q^{5}-q^{8}+(-2+\cdots)q^{10}+\cdots\)
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