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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 11
4928.2.a.a 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(-3\) \(1\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}+q^{5}+q^{7}+6q^{9}-q^{11}+4q^{13}+\cdots\)
4928.2.a.b 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(-2\) \(-4\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-4q^{5}+q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
4928.2.a.c 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(-2\) \(-2\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}-2q^{5}-q^{7}+q^{9}-q^{11}-4q^{13}+\cdots\)
4928.2.a.d 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(-2\) \(-2\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}-2q^{5}-q^{7}+q^{9}-q^{11}+4q^{13}+\cdots\)
4928.2.a.e 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(-2\) \(-2\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-2q^{5}+q^{7}+q^{9}+q^{11}+4q^{15}+\cdots\)
4928.2.a.f 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(-2\) \(0\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{7}+q^{9}+q^{11}-6q^{17}+\cdots\)
4928.2.a.g 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(-2\) \(2\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}+2q^{5}-q^{7}+q^{9}-q^{11}-4q^{13}+\cdots\)
4928.2.a.h 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(-2\) \(2\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+2q^{5}+q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
4928.2.a.i 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(-1\) \(-3\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-3q^{5}+q^{7}-2q^{9}+q^{11}+4q^{13}+\cdots\)
4928.2.a.j 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(-1\) \(-1\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-q^{7}-2q^{9}-q^{11}+2q^{13}+\cdots\)
4928.2.a.k 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(-1\) \(1\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}-2q^{9}+q^{11}-q^{15}+\cdots\)
4928.2.a.l 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(-1\) \(1\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}-2q^{9}+q^{11}+4q^{13}+\cdots\)
4928.2.a.m 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(-1\) \(3\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{5}+q^{7}-2q^{9}-q^{11}-6q^{13}+\cdots\)
4928.2.a.n 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(0\) \(-2\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{5}-q^{7}-3q^{9}+q^{11}-2q^{13}+\cdots\)
4928.2.a.o 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(0\) \(-2\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}+q^{7}-3q^{9}-q^{11}-2q^{13}+\cdots\)
4928.2.a.p 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(0\) \(0\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{7}-3q^{9}-q^{11}+2q^{13}+4q^{17}+\cdots\)
4928.2.a.q 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(0\) \(0\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{7}-3q^{9}+q^{11}+6q^{13}+2q^{19}+\cdots\)
4928.2.a.r 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{7}-3q^{9}-q^{11}+6q^{13}-2q^{19}+\cdots\)
4928.2.a.s 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{7}-3q^{9}+q^{11}+2q^{13}+4q^{17}+\cdots\)
4928.2.a.t 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(0\) \(2\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}-q^{7}-3q^{9}-q^{11}-2q^{13}+\cdots\)
4928.2.a.u 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(0\) \(2\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{5}+q^{7}-3q^{9}+q^{11}-2q^{13}+\cdots\)
4928.2.a.v 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(0\) \(4\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+4q^{5}-q^{7}-3q^{9}+q^{11}-2q^{13}+\cdots\)
4928.2.a.w 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(0\) \(4\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+4q^{5}+q^{7}-3q^{9}-q^{11}-2q^{13}+\cdots\)
4928.2.a.x 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(1\) \(-3\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{5}-q^{7}-2q^{9}-q^{11}+4q^{13}+\cdots\)
4928.2.a.y 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(1\) \(-1\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{7}-2q^{9}+q^{11}+2q^{13}+\cdots\)
4928.2.a.z 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(1\) \(1\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-q^{7}-2q^{9}-q^{11}+4q^{13}+\cdots\)
4928.2.a.ba 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(1\) \(1\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+q^{7}-2q^{9}-q^{11}+q^{15}+\cdots\)
4928.2.a.bb 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(1\) \(3\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+3q^{5}-q^{7}-2q^{9}+q^{11}-6q^{13}+\cdots\)
4928.2.a.bc 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(2\) \(-4\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}-4q^{5}-q^{7}+q^{9}-q^{11}-4q^{13}+\cdots\)
4928.2.a.bd 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(2\) \(-2\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}-2q^{5}-q^{7}+q^{9}-q^{11}-4q^{15}+\cdots\)
4928.2.a.be 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(2\) \(-2\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}-2q^{5}+q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
4928.2.a.bf 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(2\) \(-2\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}-2q^{5}+q^{7}+q^{9}+q^{11}+4q^{13}+\cdots\)
4928.2.a.bg 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(2\) \(0\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{7}+q^{9}-q^{11}-6q^{17}+\cdots\)
4928.2.a.bh 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(2\) \(2\) \(-1\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}+2q^{5}-q^{7}+q^{9}-q^{11}-4q^{13}+\cdots\)
4928.2.a.bi 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(2\) \(2\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+2q^{5}+q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
4928.2.a.bj 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(3\) \(1\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+q^{5}-q^{7}+6q^{9}+q^{11}+4q^{13}+\cdots\)
4928.2.a.bk 4928.a 1.a $2$ $39.350$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(-2\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{3}+(-1-\beta )q^{5}-q^{7}+\cdots\)
4928.2.a.bl 4928.a 1.a $2$ $39.350$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}-2\beta q^{5}+q^{7}+(1-2\beta )q^{9}+\cdots\)
4928.2.a.bm 4928.a 1.a $2$ $39.350$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(4\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{3}+2q^{5}+q^{7}+(3+2\beta )q^{9}+\cdots\)
4928.2.a.bn 4928.a 1.a $2$ $39.350$ \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(-1\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}-\beta q^{5}-q^{7}+(1+\beta )q^{9}-q^{11}+\cdots\)
4928.2.a.bo 4928.a 1.a $2$ $39.350$ \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(3\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(2-\beta )q^{5}+q^{7}+(1+\beta )q^{9}+\cdots\)
4928.2.a.bp 4928.a 1.a $2$ $39.350$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(-4\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-2q^{5}-q^{7}+3q^{9}+q^{11}+\cdots\)
4928.2.a.bq 4928.a 1.a $2$ $39.350$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(-4\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-2q^{5}+q^{7}+3q^{9}-q^{11}+\cdots\)
4928.2.a.br 4928.a 1.a $2$ $39.350$ \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(-1\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-\beta q^{5}+q^{7}+(1+\beta )q^{9}+q^{11}+\cdots\)
4928.2.a.bs 4928.a 1.a $2$ $39.350$ \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(3\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(2-\beta )q^{5}-q^{7}+(1+\beta )q^{9}+\cdots\)
4928.2.a.bt 4928.a 1.a $2$ $39.350$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(-2\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}+(-1-\beta )q^{5}+q^{7}+(3+\cdots)q^{9}+\cdots\)
4928.2.a.bu 4928.a 1.a $2$ $39.350$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}+2\beta q^{5}-q^{7}+(1+2\beta )q^{9}+\cdots\)
4928.2.a.bv 4928.a 1.a $2$ $39.350$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(4\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}+2q^{5}-q^{7}+(3+2\beta )q^{9}+\cdots\)
4928.2.a.bw 4928.a 1.a $3$ $39.350$ 3.3.229.1 None \(0\) \(-1\) \(-1\) \(3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{3}+\beta _{2}q^{5}+q^{7}+(1-\beta _{1})q^{9}+\cdots\)
4928.2.a.bx 4928.a 1.a $3$ $39.350$ 3.3.1016.1 None \(0\) \(-1\) \(1\) \(-3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+(\beta _{1}+\beta _{2})q^{5}-q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
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