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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1950.2.a.a 1950.a 1.a $1$ $15.571$ \(\Q\) None \(-1\) \(-1\) \(0\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-3q^{7}-q^{8}+\cdots\)
1950.2.a.b 1950.a 1.a $1$ $15.571$ \(\Q\) None \(-1\) \(-1\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-2q^{7}-q^{8}+\cdots\)
1950.2.a.c 1950.a 1.a $1$ $15.571$ \(\Q\) None \(-1\) \(-1\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}-2q^{7}-q^{8}+\cdots\)
1950.2.a.d 1950.a 1.a $1$ $15.571$ \(\Q\) None \(-1\) \(-1\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+4q^{7}-q^{8}+\cdots\)
1950.2.a.e 1950.a 1.a $1$ $15.571$ \(\Q\) None \(-1\) \(-1\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+4q^{7}-q^{8}+\cdots\)
1950.2.a.f 1950.a 1.a $1$ $15.571$ \(\Q\) None \(-1\) \(1\) \(0\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-4q^{7}-q^{8}+\cdots\)
1950.2.a.g 1950.a 1.a $1$ $15.571$ \(\Q\) None \(-1\) \(1\) \(0\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-4q^{7}-q^{8}+\cdots\)
1950.2.a.h 1950.a 1.a $1$ $15.571$ \(\Q\) None \(-1\) \(1\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-2q^{7}-q^{8}+\cdots\)
1950.2.a.i 1950.a 1.a $1$ $15.571$ \(\Q\) None \(-1\) \(1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
1950.2.a.j 1950.a 1.a $1$ $15.571$ \(\Q\) None \(-1\) \(1\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
1950.2.a.k 1950.a 1.a $1$ $15.571$ \(\Q\) None \(-1\) \(1\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
1950.2.a.l 1950.a 1.a $1$ $15.571$ \(\Q\) None \(-1\) \(1\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots\)
1950.2.a.m 1950.a 1.a $1$ $15.571$ \(\Q\) None \(-1\) \(1\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots\)
1950.2.a.n 1950.a 1.a $1$ $15.571$ \(\Q\) None \(1\) \(-1\) \(0\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}-4q^{7}+q^{8}+\cdots\)
1950.2.a.o 1950.a 1.a $1$ $15.571$ \(\Q\) None \(1\) \(-1\) \(0\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}-2q^{7}+q^{8}+\cdots\)
1950.2.a.p 1950.a 1.a $1$ $15.571$ \(\Q\) None \(1\) \(-1\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots\)
1950.2.a.q 1950.a 1.a $1$ $15.571$ \(\Q\) None \(1\) \(-1\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots\)
1950.2.a.r 1950.a 1.a $1$ $15.571$ \(\Q\) None \(1\) \(-1\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
1950.2.a.s 1950.a 1.a $1$ $15.571$ \(\Q\) None \(1\) \(-1\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
1950.2.a.t 1950.a 1.a $1$ $15.571$ \(\Q\) None \(1\) \(-1\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+4q^{7}+q^{8}+\cdots\)
1950.2.a.u 1950.a 1.a $1$ $15.571$ \(\Q\) None \(1\) \(-1\) \(0\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+4q^{7}+q^{8}+\cdots\)
1950.2.a.v 1950.a 1.a $1$ $15.571$ \(\Q\) None \(1\) \(1\) \(0\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}-4q^{7}+q^{8}+\cdots\)
1950.2.a.w 1950.a 1.a $1$ $15.571$ \(\Q\) None \(1\) \(1\) \(0\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}-4q^{7}+q^{8}+\cdots\)
1950.2.a.x 1950.a 1.a $1$ $15.571$ \(\Q\) None \(1\) \(1\) \(0\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}-4q^{7}+q^{8}+\cdots\)
1950.2.a.y 1950.a 1.a $1$ $15.571$ \(\Q\) None \(1\) \(1\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
1950.2.a.z 1950.a 1.a $1$ $15.571$ \(\Q\) None \(1\) \(1\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+2q^{7}+q^{8}+\cdots\)
1950.2.a.ba 1950.a 1.a $1$ $15.571$ \(\Q\) None \(1\) \(1\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+2q^{7}+q^{8}+\cdots\)
1950.2.a.bb 1950.a 1.a $1$ $15.571$ \(\Q\) None \(1\) \(1\) \(0\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+3q^{7}+q^{8}+\cdots\)
1950.2.a.bc 1950.a 1.a $2$ $15.571$ \(\Q(\sqrt{41}) \) None \(-2\) \(-2\) \(0\) \(-3\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+(-1-\beta )q^{7}+\cdots\)
1950.2.a.bd 1950.a 1.a $2$ $15.571$ \(\Q(\sqrt{2}) \) None \(-2\) \(-2\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}+q^{6}+\beta q^{7}-q^{8}+\cdots\)
1950.2.a.be 1950.a 1.a $2$ $15.571$ \(\Q(\sqrt{5}) \) None \(-2\) \(2\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+(1+\beta )q^{7}+\cdots\)
1950.2.a.bf 1950.a 1.a $2$ $15.571$ \(\Q(\sqrt{5}) \) None \(2\) \(-2\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-q^{6}+(-1-\beta )q^{7}+\cdots\)
1950.2.a.bg 1950.a 1.a $2$ $15.571$ \(\Q(\sqrt{41}) \) None \(2\) \(2\) \(0\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+(1+\beta )q^{7}+\cdots\)
1950.2.b.a 1950.b 13.b $2$ $15.571$ \(\Q(\sqrt{-1}) \) None \(0\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-q^{3}-q^{4}+iq^{6}+2iq^{7}+\cdots\)
1950.2.b.b 1950.b 13.b $2$ $15.571$ \(\Q(\sqrt{-1}) \) None \(0\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}-q^{3}-q^{4}-iq^{6}+3iq^{7}+\cdots\)
1950.2.b.c 1950.b 13.b $2$ $15.571$ \(\Q(\sqrt{-1}) \) None \(0\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-q^{3}-q^{4}+iq^{6}+2iq^{7}+\cdots\)
1950.2.b.d 1950.b 13.b $2$ $15.571$ \(\Q(\sqrt{-1}) \) None \(0\) \(2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+q^{3}-q^{4}+iq^{6}+3iq^{7}+\cdots\)
1950.2.b.e 1950.b 13.b $2$ $15.571$ \(\Q(\sqrt{-1}) \) None \(0\) \(2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}+q^{3}-q^{4}-iq^{6}+iq^{8}+q^{9}+\cdots\)
1950.2.b.f 1950.b 13.b $2$ $15.571$ \(\Q(\sqrt{-1}) \) None \(0\) \(2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}+q^{3}-q^{4}-iq^{6}+2iq^{7}+\cdots\)
1950.2.b.g 1950.b 13.b $2$ $15.571$ \(\Q(\sqrt{-1}) \) None \(0\) \(2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+q^{3}-q^{4}+iq^{6}-iq^{8}+q^{9}+\cdots\)
1950.2.b.h 1950.b 13.b $4$ $15.571$ \(\Q(i, \sqrt{17})\) None \(0\) \(-4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{2}-q^{3}-q^{4}+\beta _{1}q^{6}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
1950.2.b.i 1950.b 13.b $4$ $15.571$ \(\Q(i, \sqrt{17})\) None \(0\) \(-4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{2}q^{2}-q^{3}-q^{4}-\beta _{2}q^{6}+(\beta _{1}+3\beta _{2}+\cdots)q^{7}+\cdots\)
1950.2.b.j 1950.b 13.b $4$ $15.571$ \(\Q(i, \sqrt{17})\) None \(0\) \(4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{2}q^{2}+q^{3}-q^{4}+\beta _{2}q^{6}+(\beta _{1}+3\beta _{2}+\cdots)q^{7}+\cdots\)
1950.2.b.k 1950.b 13.b $4$ $15.571$ \(\Q(i, \sqrt{13})\) None \(0\) \(4\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{2}+q^{3}-q^{4}+\beta _{1}q^{6}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
1950.2.b.l 1950.b 13.b $6$ $15.571$ 6.0.350464.1 None \(0\) \(-6\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{4}q^{2}-q^{3}-q^{4}-\beta _{4}q^{6}+(\beta _{1}-\beta _{3}+\cdots)q^{7}+\cdots\)
1950.2.b.m 1950.b 13.b $6$ $15.571$ 6.0.350464.1 None \(0\) \(6\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{4}q^{2}+q^{3}-q^{4}+\beta _{4}q^{6}+(\beta _{1}-\beta _{3}+\cdots)q^{7}+\cdots\)
1950.2.e.a 1950.e 5.b $2$ $15.571$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-iq^{3}-q^{4}-q^{6}+iq^{7}+iq^{8}+\cdots\)
1950.2.e.b 1950.e 5.b $2$ $15.571$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-iq^{3}-q^{4}-q^{6}+iq^{7}+iq^{8}+\cdots\)
1950.2.e.c 1950.e 5.b $2$ $15.571$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{2}+iq^{3}-q^{4}-q^{6}+4iq^{7}+\cdots\)
1950.2.e.d 1950.e 5.b $2$ $15.571$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{2}-iq^{3}-q^{4}-q^{6}+2iq^{7}+\cdots\)
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