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Results (28 matches)

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Label Char Prim Dim $A$ Field CM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
5796.2.a.a 5796.a 1.a $1$ $46.281$ \(\Q\) None \(0\) \(0\) \(-4\) \(1\) $+$ $\mathrm{SU}(2)$ \(q-4q^{5}+q^{7}+2q^{13}-4q^{17}+4q^{19}+\cdots\)
5796.2.a.b 5796.a 1.a $1$ $46.281$ \(\Q\) None \(0\) \(0\) \(-2\) \(1\) $-$ $\mathrm{SU}(2)$ \(q-2q^{5}+q^{7}+3q^{11}-4q^{13}-8q^{17}+\cdots\)
5796.2.a.c 5796.a 1.a $1$ $46.281$ \(\Q\) None \(0\) \(0\) \(0\) \(-1\) $-$ $\mathrm{SU}(2)$ \(q-q^{7}+5q^{11}-6q^{13}-4q^{17}+7q^{19}+\cdots\)
5796.2.a.d 5796.a 1.a $1$ $46.281$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{7}-3q^{11}+2q^{13}+5q^{19}+q^{23}+\cdots\)
5796.2.a.e 5796.a 1.a $1$ $46.281$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+q^{7}+2q^{11}-3q^{13}+q^{23}-5q^{25}+\cdots\)
5796.2.a.f 5796.a 1.a $1$ $46.281$ \(\Q\) None \(0\) \(0\) \(2\) \(-1\) $+$ $\mathrm{SU}(2)$ \(q+2q^{5}-q^{7}+2q^{11}-q^{13}-6q^{19}+\cdots\)
5796.2.a.g 5796.a 1.a $1$ $46.281$ \(\Q\) None \(0\) \(0\) \(2\) \(1\) $+$ $\mathrm{SU}(2)$ \(q+2q^{5}+q^{7}-3q^{11}-4q^{13}+8q^{17}+\cdots\)
5796.2.a.h 5796.a 1.a $1$ $46.281$ \(\Q\) None \(0\) \(0\) \(4\) \(1\) $-$ $\mathrm{SU}(2)$ \(q+4q^{5}+q^{7}+2q^{13}+4q^{17}+4q^{19}+\cdots\)
5796.2.a.i 5796.a 1.a $2$ $46.281$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-1\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{5}-q^{7}+(1+2\beta )q^{11}+(1+\beta )q^{13}+\cdots\)
5796.2.a.j 5796.a 1.a $2$ $46.281$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-1\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+(1-3\beta )q^{5}+q^{7}-3q^{11}+(-2+\beta )q^{13}+\cdots\)
5796.2.a.k 5796.a 1.a $2$ $46.281$ \(\Q(\sqrt{13}) \) None \(0\) \(0\) \(-1\) \(2\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{5}+q^{7}+(-1+2\beta )q^{11}+(-3+\cdots)q^{13}+\cdots\)
5796.2.a.l 5796.a 1.a $2$ $46.281$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{5}-q^{7}+3q^{11}+(-1+\beta )q^{13}+\cdots\)
5796.2.a.m 5796.a 1.a $2$ $46.281$ \(\Q(\sqrt{13}) \) None \(0\) \(0\) \(5\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+(3-\beta )q^{5}-q^{7}+(-1-2\beta )q^{11}+\cdots\)
5796.2.a.n 5796.a 1.a $2$ $46.281$ \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(5\) \(2\) $-$ $\mathrm{SU}(2)$ \(q+(3-\beta )q^{5}+q^{7}+q^{11}+(2-5\beta )q^{13}+\cdots\)
5796.2.a.o 5796.a 1.a $3$ $46.281$ 3.3.1101.1 None \(0\) \(0\) \(-1\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{5}-q^{7}-q^{11}+(-1+\beta _{1}-\beta _{2})q^{13}+\cdots\)
5796.2.a.p 5796.a 1.a $3$ $46.281$ 3.3.1509.1 None \(0\) \(0\) \(1\) \(3\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{5}+q^{7}+(-1+2\beta _{1})q^{11}+(1+\cdots)q^{13}+\cdots\)
5796.2.a.q 5796.a 1.a $4$ $46.281$ 4.4.140608.1 None \(0\) \(0\) \(-2\) \(4\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{5}+q^{7}+(-1-\beta _{1})q^{11}+(1+\cdots)q^{13}+\cdots\)
5796.2.a.r 5796.a 1.a $4$ $46.281$ 4.4.140608.1 None \(0\) \(0\) \(2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{5}+q^{7}+(1+\beta _{1})q^{11}+(1+\beta _{2}+\cdots)q^{13}+\cdots\)
5796.2.a.s 5796.a 1.a $5$ $46.281$ 5.5.8580816.1 None \(0\) \(0\) \(-4\) \(5\) $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{4})q^{5}+q^{7}+(\beta _{2}+\beta _{4})q^{11}+\cdots\)
5796.2.a.t 5796.a 1.a $5$ $46.281$ 5.5.6963152.1 None \(0\) \(0\) \(-2\) \(-5\) $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{2}-\beta _{3})q^{5}-q^{7}+(-1+\beta _{1}+\cdots)q^{11}+\cdots\)
5796.2.a.u 5796.a 1.a $6$ $46.281$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(0\) \(0\) \(-4\) \(-6\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{5}-q^{7}+(-\beta _{3}-\beta _{4}+\cdots)q^{11}+\cdots\)
5796.2.a.v 5796.a 1.a $6$ $46.281$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(0\) \(0\) \(4\) \(-6\) $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{5}-q^{7}+(\beta _{3}+\beta _{4})q^{11}+\cdots\)
5796.2.j.a 5796.j 21.c $56$ $46.281$ None \(0\) \(0\) \(0\) \(8\) $\mathrm{SU}(2)[C_{2}]$
5796.2.k.a 5796.k 161.c $8$ $46.281$ 8.0.\(\cdots\).1 \(\Q(\sqrt{-483}) \) \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{1}q^{7}-\beta _{5}q^{11}-\beta _{3}q^{19}+(-\beta _{5}+\cdots)q^{23}+\cdots\)
5796.2.k.b 5796.k 161.c $16$ $46.281$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$ \(q-\beta _{2}q^{5}+\beta _{8}q^{7}+(-\beta _{1}-\beta _{8}+\beta _{12}+\cdots)q^{11}+\cdots\)
5796.2.k.c 5796.k 161.c $24$ $46.281$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
5796.2.k.d 5796.k 161.c $32$ $46.281$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
5796.2.p.a 5796.p 69.c $48$ $46.281$ None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{2}]$
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