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Results (48 matches)

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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
5700.2.a.a 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{7}+q^{9}+4q^{13}-6q^{17}+\cdots\)
5700.2.a.b 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}+q^{9}+2q^{17}-q^{19}+q^{21}+\cdots\)
5700.2.a.c 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-4q^{11}-4q^{17}+\cdots\)
5700.2.a.d 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}-4q^{11}+6q^{17}+\cdots\)
5700.2.a.e 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{7}+q^{9}+4q^{13}+q^{19}-q^{21}+\cdots\)
5700.2.a.f 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(-1\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{7}+q^{9}+4q^{13}+2q^{17}+\cdots\)
5700.2.a.g 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(-1\) \(0\) \(3\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
5700.2.a.h 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(-1\) \(0\) \(4\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+4q^{7}+q^{9}+2q^{11}-6q^{13}+\cdots\)
5700.2.a.i 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(-1\) \(0\) \(5\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+5q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
5700.2.a.j 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(1\) \(0\) \(-5\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-5q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots\)
5700.2.a.k 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(1\) \(0\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
5700.2.a.l 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-5q^{11}+6q^{13}+\cdots\)
5700.2.a.m 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-4q^{11}-6q^{17}+\cdots\)
5700.2.a.n 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-4q^{11}+4q^{17}+\cdots\)
5700.2.a.o 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{7}+q^{9}-4q^{13}+q^{19}-q^{21}+\cdots\)
5700.2.a.p 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(1\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{9}+2q^{11}-2q^{13}-6q^{17}+\cdots\)
5700.2.a.q 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}+q^{9}-2q^{17}-q^{19}+q^{21}+\cdots\)
5700.2.a.r 5700.a 1.a $1$ $45.515$ \(\Q\) None \(0\) \(1\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{7}+q^{9}+4q^{11}+2q^{17}+\cdots\)
5700.2.a.s 5700.a 1.a $2$ $45.515$ \(\Q(\sqrt{10}) \) None \(0\) \(-2\) \(0\) \(-8\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-4q^{7}+q^{9}+(1+\beta )q^{11}+2\beta q^{13}+\cdots\)
5700.2.a.t 5700.a 1.a $2$ $45.515$ \(\Q(\sqrt{33}) \) None \(0\) \(-2\) \(0\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-\beta q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots\)
5700.2.a.u 5700.a 1.a $2$ $45.515$ \(\Q(\sqrt{13}) \) None \(0\) \(2\) \(0\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+(-1-\beta )q^{7}+q^{9}+(-1+\beta )q^{11}+\cdots\)
5700.2.a.v 5700.a 1.a $2$ $45.515$ \(\Q(\sqrt{10}) \) None \(0\) \(2\) \(0\) \(8\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+4q^{7}+q^{9}+(1+\beta )q^{11}-2\beta q^{13}+\cdots\)
5700.2.a.w 5700.a 1.a $3$ $45.515$ 3.3.564.1 None \(0\) \(-3\) \(0\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(-1+\beta _{2})q^{7}+q^{9}+(2+\beta _{1}+\cdots)q^{11}+\cdots\)
5700.2.a.x 5700.a 1.a $3$ $45.515$ 3.3.148.1 None \(0\) \(-3\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-\beta _{2}q^{7}+q^{9}+(-1-\beta _{1})q^{11}+\cdots\)
5700.2.a.y 5700.a 1.a $3$ $45.515$ 3.3.148.1 None \(0\) \(3\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta _{2}q^{7}+q^{9}+(-1-\beta _{1})q^{11}+\cdots\)
5700.2.a.z 5700.a 1.a $3$ $45.515$ 3.3.1524.1 None \(0\) \(3\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta _{1}q^{7}+q^{9}+(-1-\beta _{2})q^{11}+\cdots\)
5700.2.a.ba 5700.a 1.a $4$ $45.515$ \(\Q(\sqrt{6}, \sqrt{22})\) None \(0\) \(-4\) \(0\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(-1-\beta _{2})q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
5700.2.a.bb 5700.a 1.a $4$ $45.515$ \(\Q(\sqrt{6}, \sqrt{22})\) None \(0\) \(4\) \(0\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+(1+\beta _{2})q^{7}+q^{9}+(\beta _{1}-\beta _{2}+\cdots)q^{11}+\cdots\)
5700.2.a.bc 5700.a 1.a $5$ $45.515$ 5.5.13090800.1 None \(0\) \(-5\) \(0\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-\beta _{1}q^{7}+q^{9}+(1-\beta _{3})q^{11}+\cdots\)
5700.2.a.bd 5700.a 1.a $5$ $45.515$ 5.5.13090800.1 None \(0\) \(5\) \(0\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta _{1}q^{7}+q^{9}+(1-\beta _{3})q^{11}+\cdots\)
5700.2.f.a 5700.f 5.b $2$ $45.515$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+iq^{7}-q^{9}-5q^{11}+6iq^{13}+\cdots\)
5700.2.f.b 5700.f 5.b $2$ $45.515$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+iq^{7}-q^{9}-4q^{11}-4iq^{17}+\cdots\)
5700.2.f.c 5700.f 5.b $2$ $45.515$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+iq^{7}-q^{9}-4q^{11}+6iq^{17}+\cdots\)
5700.2.f.d 5700.f 5.b $2$ $45.515$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+3iq^{7}-q^{9}-2q^{11}-2iq^{13}+\cdots\)
5700.2.f.e 5700.f 5.b $2$ $45.515$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+iq^{7}-q^{9}-4iq^{13}-q^{19}+\cdots\)
5700.2.f.f 5700.f 5.b $2$ $45.515$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{3}+2iq^{7}-q^{9}+4iq^{13}+6iq^{17}+\cdots\)
5700.2.f.g 5700.f 5.b $2$ $45.515$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+2iq^{7}-q^{9}-4iq^{13}+2iq^{17}+\cdots\)
5700.2.f.h 5700.f 5.b $2$ $45.515$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{3}+iq^{7}-q^{9}-2iq^{17}+q^{19}+\cdots\)
5700.2.f.i 5700.f 5.b $2$ $45.515$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+4iq^{7}-q^{9}+2q^{11}+6iq^{13}+\cdots\)
5700.2.f.j 5700.f 5.b $2$ $45.515$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+iq^{3}+5iq^{7}-q^{9}+2q^{11}-2iq^{13}+\cdots\)
5700.2.f.k 5700.f 5.b $2$ $45.515$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{3}-q^{9}+2q^{11}+2iq^{13}-6iq^{17}+\cdots\)
5700.2.f.l 5700.f 5.b $2$ $45.515$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-iq^{3}+2iq^{7}-q^{9}+4q^{11}+2iq^{17}+\cdots\)
5700.2.f.m 5700.f 5.b $4$ $45.515$ \(\Q(i, \sqrt{33})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{2}q^{3}+\beta _{1}q^{7}-q^{9}+(-1-\beta _{3})q^{11}+\cdots\)
5700.2.f.n 5700.f 5.b $4$ $45.515$ \(\Q(i, \sqrt{13})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{3}+(-\beta _{1}+\beta _{2})q^{7}-q^{9}+(-1+\cdots)q^{11}+\cdots\)
5700.2.f.o 5700.f 5.b $4$ $45.515$ \(\Q(i, \sqrt{10})\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{1}q^{3}+4\beta _{1}q^{7}-q^{9}+(1+\beta _{3})q^{11}+\cdots\)
5700.2.f.p 5700.f 5.b $6$ $45.515$ 6.0.37161216.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{1}q^{3}+\beta _{5}q^{7}-q^{9}+(-1-\beta _{3}+\cdots)q^{11}+\cdots\)
5700.2.f.q 5700.f 5.b $6$ $45.515$ 6.0.5089536.1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{4}q^{3}+(\beta _{1}-\beta _{4})q^{7}-q^{9}+(2-\beta _{2}+\cdots)q^{11}+\cdots\)
5700.2.f.r 5700.f 5.b $8$ $45.515$ 8.0.\(\cdots\).1 None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q+\beta _{3}q^{3}+(-\beta _{3}+\beta _{5})q^{7}-q^{9}+(-\beta _{2}+\cdots)q^{11}+\cdots\)
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