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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2646.2.a.a 2646.a 1.a $1$ $21.128$ \(\Q\) None \(-1\) \(0\) \(-3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-3q^{5}-q^{8}+3q^{10}-3q^{11}+\cdots\)
2646.2.a.b 2646.a 1.a $1$ $21.128$ \(\Q\) None \(-1\) \(0\) \(-3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-3q^{5}-q^{8}+3q^{10}-4q^{13}+\cdots\)
2646.2.a.c 2646.a 1.a $1$ $21.128$ \(\Q\) None \(-1\) \(0\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}-5q^{11}+\cdots\)
2646.2.a.d 2646.a 1.a $1$ $21.128$ \(\Q\) None \(-1\) \(0\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}+2q^{11}+\cdots\)
2646.2.a.e 2646.a 1.a $1$ $21.128$ \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{10}-q^{11}+\cdots\)
2646.2.a.f 2646.a 1.a $1$ $21.128$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}-5q^{13}+q^{16}+3q^{17}+\cdots\)
2646.2.a.g 2646.a 1.a $1$ $21.128$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}+6q^{11}-5q^{13}+\cdots\)
2646.2.a.h 2646.a 1.a $1$ $21.128$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{8}+6q^{11}+5q^{13}+\cdots\)
2646.2.a.i 2646.a 1.a $1$ $21.128$ \(\Q\) None \(-1\) \(0\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-5q^{11}+\cdots\)
2646.2.a.j 2646.a 1.a $1$ $21.128$ \(\Q\) None \(-1\) \(0\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-q^{11}+\cdots\)
2646.2.a.k 2646.a 1.a $1$ $21.128$ \(\Q\) None \(-1\) \(0\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}-5q^{11}+\cdots\)
2646.2.a.l 2646.a 1.a $1$ $21.128$ \(\Q\) None \(-1\) \(0\) \(2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}+2q^{11}+\cdots\)
2646.2.a.m 2646.a 1.a $1$ $21.128$ \(\Q\) None \(-1\) \(0\) \(3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+3q^{5}-q^{8}-3q^{10}+4q^{13}+\cdots\)
2646.2.a.n 2646.a 1.a $1$ $21.128$ \(\Q\) None \(-1\) \(0\) \(3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+3q^{5}-q^{8}-3q^{10}+3q^{11}+\cdots\)
2646.2.a.o 2646.a 1.a $1$ $21.128$ \(\Q\) None \(-1\) \(0\) \(4\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+4q^{5}-q^{8}-4q^{10}+4q^{11}+\cdots\)
2646.2.a.p 2646.a 1.a $1$ $21.128$ \(\Q\) None \(1\) \(0\) \(-4\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-4q^{5}+q^{8}-4q^{10}-4q^{11}+\cdots\)
2646.2.a.q 2646.a 1.a $1$ $21.128$ \(\Q\) None \(1\) \(0\) \(-3\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-3q^{5}+q^{8}-3q^{10}-3q^{11}+\cdots\)
2646.2.a.r 2646.a 1.a $1$ $21.128$ \(\Q\) None \(1\) \(0\) \(-3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-3q^{5}+q^{8}-3q^{10}+4q^{13}+\cdots\)
2646.2.a.s 2646.a 1.a $1$ $21.128$ \(\Q\) None \(1\) \(0\) \(-2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{5}+q^{8}-2q^{10}-2q^{11}+\cdots\)
2646.2.a.t 2646.a 1.a $1$ $21.128$ \(\Q\) None \(1\) \(0\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-2q^{5}+q^{8}-2q^{10}+5q^{11}+\cdots\)
2646.2.a.u 2646.a 1.a $1$ $21.128$ \(\Q\) None \(1\) \(0\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+q^{11}+\cdots\)
2646.2.a.v 2646.a 1.a $1$ $21.128$ \(\Q\) None \(1\) \(0\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}+q^{8}-q^{10}+5q^{11}+\cdots\)
2646.2.a.w 2646.a 1.a $1$ $21.128$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}-6q^{11}-5q^{13}+\cdots\)
2646.2.a.x 2646.a 1.a $1$ $21.128$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}-6q^{11}+5q^{13}+\cdots\)
2646.2.a.y 2646.a 1.a $1$ $21.128$ \(\Q\) None \(1\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{8}-5q^{13}+q^{16}-3q^{17}+\cdots\)
2646.2.a.z 2646.a 1.a $1$ $21.128$ \(\Q\) None \(1\) \(0\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{10}+q^{11}+\cdots\)
2646.2.a.ba 2646.a 1.a $1$ $21.128$ \(\Q\) None \(1\) \(0\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+2q^{5}+q^{8}+2q^{10}-2q^{11}+\cdots\)
2646.2.a.bb 2646.a 1.a $1$ $21.128$ \(\Q\) None \(1\) \(0\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+2q^{5}+q^{8}+2q^{10}+5q^{11}+\cdots\)
2646.2.a.bc 2646.a 1.a $1$ $21.128$ \(\Q\) None \(1\) \(0\) \(3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+3q^{5}+q^{8}+3q^{10}-4q^{13}+\cdots\)
2646.2.a.bd 2646.a 1.a $1$ $21.128$ \(\Q\) None \(1\) \(0\) \(3\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+3q^{5}+q^{8}+3q^{10}+3q^{11}+\cdots\)
2646.2.a.be 2646.a 1.a $2$ $21.128$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(-6\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(-3+\beta )q^{5}-q^{8}+(3+\cdots)q^{10}+\cdots\)
2646.2.a.bf 2646.a 1.a $2$ $21.128$ \(\Q(\sqrt{7}) \) None \(-2\) \(0\) \(-2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(-1+\beta )q^{5}-q^{8}+(1+\cdots)q^{10}+\cdots\)
2646.2.a.bg 2646.a 1.a $2$ $21.128$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+\beta q^{5}-q^{8}-\beta q^{10}+(2+\cdots)q^{11}+\cdots\)
2646.2.a.bh 2646.a 1.a $2$ $21.128$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+\beta q^{5}-q^{8}-\beta q^{10}+(2+\cdots)q^{11}+\cdots\)
2646.2.a.bi 2646.a 1.a $2$ $21.128$ \(\Q(\sqrt{7}) \) None \(-2\) \(0\) \(2\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(1+\beta )q^{5}-q^{8}+(-1+\cdots)q^{10}+\cdots\)
2646.2.a.bj 2646.a 1.a $2$ $21.128$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(6\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(3+\beta )q^{5}-q^{8}+(-3+\cdots)q^{10}+\cdots\)
2646.2.a.bk 2646.a 1.a $2$ $21.128$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(-6\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+(-3+\beta )q^{5}+q^{8}+(-3+\cdots)q^{10}+\cdots\)
2646.2.a.bl 2646.a 1.a $2$ $21.128$ \(\Q(\sqrt{7}) \) None \(2\) \(0\) \(-2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+(-1+\beta )q^{5}+q^{8}+(-1+\cdots)q^{10}+\cdots\)
2646.2.a.bm 2646.a 1.a $2$ $21.128$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+\beta q^{5}+q^{8}+\beta q^{10}+(-2+\cdots)q^{11}+\cdots\)
2646.2.a.bn 2646.a 1.a $2$ $21.128$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+\beta q^{5}+q^{8}+\beta q^{10}+(-2+\cdots)q^{11}+\cdots\)
2646.2.a.bo 2646.a 1.a $2$ $21.128$ \(\Q(\sqrt{7}) \) None \(2\) \(0\) \(2\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+(1+\beta )q^{5}+q^{8}+(1+\beta )q^{10}+\cdots\)
2646.2.a.bp 2646.a 1.a $2$ $21.128$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(6\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+(3+\beta )q^{5}+q^{8}+(3+\beta )q^{10}+\cdots\)
2646.2.d.a 2646.d 21.c $4$ $21.128$ \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\zeta_{12}q^{2}-q^{4}+\zeta_{12}^{3}q^{5}-\zeta_{12}q^{8}+\cdots\)
2646.2.d.b 2646.d 21.c $4$ $21.128$ \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\zeta_{12}q^{2}-q^{4}-2\zeta_{12}^{3}q^{5}+\zeta_{12}q^{8}+\cdots\)
2646.2.d.c 2646.d 21.c $4$ $21.128$ \(\Q(\zeta_{12})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\zeta_{12}q^{2}-q^{4}+\zeta_{12}q^{8}+3\zeta_{12}q^{11}+\cdots\)
2646.2.d.d 2646.d 21.c $8$ $21.128$ \(\Q(\zeta_{24})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\zeta_{24}q^{2}-q^{4}+\zeta_{24}^{4}q^{5}-\zeta_{24}q^{8}+\cdots\)
2646.2.d.e 2646.d 21.c $16$ $21.128$ \(\Q(\zeta_{48})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\zeta_{48}q^{2}-q^{4}+(\zeta_{48}^{9}+\zeta_{48}^{12})q^{5}+\cdots\)
2646.2.d.f 2646.d 21.c $16$ $21.128$ \(\Q(\zeta_{48})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\zeta_{48}q^{2}-q^{4}+(-\zeta_{48}^{5}-\zeta_{48}^{8}+\cdots)q^{5}+\cdots\)
2646.2.e.a 2646.e 63.h $2$ $21.128$ \(\Q(\sqrt{-3}) \) None \(-2\) \(0\) \(-1\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q-q^{2}+q^{4}+(-1+\zeta_{6})q^{5}-q^{8}+(1+\cdots)q^{10}+\cdots\)
2646.2.e.b 2646.e 63.h $2$ $21.128$ \(\Q(\sqrt{-3}) \) None \(-2\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{3}]$ \(q-q^{2}+q^{4}-q^{8}-3\zeta_{6}q^{11}-2\zeta_{6}q^{13}+\cdots\)
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