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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 11
7744.2.a.a 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(-3\) \(-1\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-q^{5}+6q^{9}-6q^{13}+3q^{15}+\cdots\)
7744.2.a.b 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(-3\) \(3\) \(-2\) $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}+3q^{5}-2q^{7}+6q^{9}-9q^{15}+\cdots\)
7744.2.a.c 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(-2\) \(-1\) \(-2\) $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}-2q^{7}+q^{9}-q^{13}+2q^{15}+\cdots\)
7744.2.a.d 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(-2\) \(-1\) \(-2\) $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}-2q^{7}+q^{9}+q^{13}+2q^{15}+\cdots\)
7744.2.a.e 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(-2\) \(-1\) \(2\) $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}+2q^{7}+q^{9}-q^{13}+2q^{15}+\cdots\)
7744.2.a.f 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(-2\) \(-1\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}+2q^{7}+q^{9}+q^{13}+2q^{15}+\cdots\)
7744.2.a.g 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(-2\) \(3\) \(-2\) $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+3q^{5}-2q^{7}+q^{9}-5q^{13}+\cdots\)
7744.2.a.h 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(-2\) \(3\) \(2\) $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+3q^{5}+2q^{7}+q^{9}+5q^{13}+\cdots\)
7744.2.a.i 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(-1\) \(-1\) \(-4\) $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-4q^{7}-2q^{9}-2q^{13}+\cdots\)
7744.2.a.j 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(-1\) \(-1\) \(-4\) $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-4q^{7}-2q^{9}+4q^{13}+\cdots\)
7744.2.a.k 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(-1\) \(-1\) \(-2\) $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-2q^{7}-2q^{9}+4q^{13}+\cdots\)
7744.2.a.l 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(-1\) \(-1\) \(4\) $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}+4q^{7}-2q^{9}-4q^{13}+\cdots\)
7744.2.a.m 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(-1\) \(3\) \(-2\) $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{5}-2q^{7}-2q^{9}-4q^{13}+\cdots\)
7744.2.a.n 7744.a 1.a $1$ $61.836$ \(\Q\) \(\Q(\sqrt{-11}) \) \(0\) \(-1\) \(3\) \(0\) $-$ $+$ $N(\mathrm{U}(1))$ \(q-q^{3}+3q^{5}-2q^{9}-3q^{15}+9q^{23}+\cdots\)
7744.2.a.o 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(-1\) \(3\) \(4\) $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{5}+4q^{7}-2q^{9}-2q^{13}+\cdots\)
7744.2.a.p 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(0\) \(-3\) \(-4\) $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{5}-4q^{7}-3q^{9}-3q^{13}+3q^{17}+\cdots\)
7744.2.a.q 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(0\) \(-3\) \(-4\) $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{5}-4q^{7}-3q^{9}+3q^{13}-3q^{17}+\cdots\)
7744.2.a.r 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(0\) \(-3\) \(4\) $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{5}+4q^{7}-3q^{9}-3q^{13}+3q^{17}+\cdots\)
7744.2.a.s 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(0\) \(-3\) \(4\) $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{5}+4q^{7}-3q^{9}+3q^{13}-3q^{17}+\cdots\)
7744.2.a.t 7744.a 1.a $1$ $61.836$ \(\Q\) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(-2\) \(0\) $-$ $+$ $N(\mathrm{U}(1))$ \(q-2q^{5}-3q^{9}-4q^{13}-8q^{17}-q^{25}+\cdots\)
7744.2.a.u 7744.a 1.a $1$ $61.836$ \(\Q\) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(-2\) \(0\) $-$ $+$ $N(\mathrm{U}(1))$ \(q-2q^{5}-3q^{9}+4q^{13}+8q^{17}-q^{25}+\cdots\)
7744.2.a.v 7744.a 1.a $1$ $61.836$ \(\Q\) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(2\) \(0\) $-$ $-$ $N(\mathrm{U}(1))$ \(q+2q^{5}-3q^{9}+6q^{13}-2q^{17}-q^{25}+\cdots\)
7744.2.a.w 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(1\) \(-1\) \(-4\) $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-4q^{7}-2q^{9}-4q^{13}+\cdots\)
7744.2.a.x 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(1\) \(-1\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+2q^{7}-2q^{9}+4q^{13}+\cdots\)
7744.2.a.y 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(1\) \(-1\) \(4\) $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+4q^{7}-2q^{9}-2q^{13}+\cdots\)
7744.2.a.z 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(1\) \(-1\) \(4\) $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+4q^{7}-2q^{9}+4q^{13}+\cdots\)
7744.2.a.ba 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(1\) \(3\) \(-4\) $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+3q^{5}-4q^{7}-2q^{9}-2q^{13}+\cdots\)
7744.2.a.bb 7744.a 1.a $1$ $61.836$ \(\Q\) \(\Q(\sqrt{-11}) \) \(0\) \(1\) \(3\) \(0\) $+$ $+$ $N(\mathrm{U}(1))$ \(q+q^{3}+3q^{5}-2q^{9}+3q^{15}-9q^{23}+\cdots\)
7744.2.a.bc 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(1\) \(3\) \(2\) $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+3q^{5}+2q^{7}-2q^{9}-4q^{13}+\cdots\)
7744.2.a.bd 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(2\) \(-1\) \(-2\) $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{5}-2q^{7}+q^{9}-q^{13}-2q^{15}+\cdots\)
7744.2.a.be 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(2\) \(-1\) \(-2\) $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{5}-2q^{7}+q^{9}+q^{13}-2q^{15}+\cdots\)
7744.2.a.bf 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(2\) \(-1\) \(2\) $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{5}+2q^{7}+q^{9}-q^{13}-2q^{15}+\cdots\)
7744.2.a.bg 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(2\) \(-1\) \(2\) $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{5}+2q^{7}+q^{9}+q^{13}-2q^{15}+\cdots\)
7744.2.a.bh 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(2\) \(3\) \(-2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+3q^{5}-2q^{7}+q^{9}+5q^{13}+\cdots\)
7744.2.a.bi 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(2\) \(3\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+3q^{5}+2q^{7}+q^{9}-5q^{13}+\cdots\)
7744.2.a.bj 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(3\) \(-1\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}-q^{5}+6q^{9}-6q^{13}-3q^{15}+\cdots\)
7744.2.a.bk 7744.a 1.a $1$ $61.836$ \(\Q\) None \(0\) \(3\) \(3\) \(2\) $+$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+3q^{5}+2q^{7}+6q^{9}+9q^{15}+\cdots\)
7744.2.a.bl 7744.a 1.a $2$ $61.836$ \(\Q(\sqrt{3}) \) None \(0\) \(-4\) \(-6\) \(0\) $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}-3q^{5}-2\beta q^{7}+q^{9}-3\beta q^{13}+\cdots\)
7744.2.a.bm 7744.a 1.a $2$ $61.836$ \(\Q(\sqrt{5}) \) None \(0\) \(-3\) \(-2\) \(-4\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{3}+(-2+2\beta )q^{5}-2q^{7}+\cdots\)
7744.2.a.bn 7744.a 1.a $2$ $61.836$ \(\Q(\sqrt{5}) \) None \(0\) \(-3\) \(-2\) \(4\) $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{3}+(-2+2\beta )q^{5}+2q^{7}+\cdots\)
7744.2.a.bo 7744.a 1.a $2$ $61.836$ \(\Q(\sqrt{5}) \) None \(0\) \(-3\) \(1\) \(-1\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{3}+\beta q^{5}+(1-3\beta )q^{7}+\cdots\)
7744.2.a.bp 7744.a 1.a $2$ $61.836$ \(\Q(\sqrt{5}) \) None \(0\) \(-3\) \(1\) \(1\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{3}+\beta q^{5}+(-1+3\beta )q^{7}+\cdots\)
7744.2.a.bq 7744.a 1.a $2$ $61.836$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(-6\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+\beta q^{5}+(-3-\beta )q^{7}+\cdots\)
7744.2.a.br 7744.a 1.a $2$ $61.836$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(-2\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{3}-\beta q^{5}+(-1-\beta )q^{7}+\cdots\)
7744.2.a.bs 7744.a 1.a $2$ $61.836$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(2\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{3}-\beta q^{5}+(1+\beta )q^{7}+(3+\cdots)q^{9}+\cdots\)
7744.2.a.bt 7744.a 1.a $2$ $61.836$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(6\) $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+\beta q^{5}+(3+\beta )q^{7}+(1+\cdots)q^{9}+\cdots\)
7744.2.a.bu 7744.a 1.a $2$ $61.836$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(4\) \(-2\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+(2-\beta )q^{5}+(-1+\beta )q^{7}+\cdots\)
7744.2.a.bv 7744.a 1.a $2$ $61.836$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(4\) \(2\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{3}+(2-\beta )q^{5}+(1-\beta )q^{7}+\cdots\)
7744.2.a.bw 7744.a 1.a $2$ $61.836$ \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(-3\) \(0\) $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(-2+\beta )q^{5}+(1+\beta )q^{9}+2q^{13}+\cdots\)
7744.2.a.bx 7744.a 1.a $2$ $61.836$ \(\Q(\sqrt{33}) \) \(\Q(\sqrt{-11}) \) \(0\) \(-1\) \(-3\) \(0\) $+$ $+$ $N(\mathrm{U}(1))$ \(q-\beta q^{3}+(-2+\beta )q^{5}+(5+\beta )q^{9}+(-8+\cdots)q^{15}+\cdots\)
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