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Results (26 matches)

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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 7 17
8092.2.a.a 8092.a 1.a $1$ $64.615$ \(\Q\) None \(0\) \(-3\) \(-2\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}-2q^{5}-q^{7}+6q^{9}+4q^{13}+\cdots\)
8092.2.a.b 8092.a 1.a $1$ $64.615$ \(\Q\) None \(0\) \(-2\) \(2\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+2q^{5}+q^{7}+q^{9}+4q^{13}+\cdots\)
8092.2.a.c 8092.a 1.a $1$ $64.615$ \(\Q\) None \(0\) \(-1\) \(-2\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}+q^{7}-2q^{9}-4q^{11}+\cdots\)
8092.2.a.d 8092.a 1.a $1$ $64.615$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{7}-2q^{9}-6q^{11}-4q^{13}+\cdots\)
8092.2.a.e 8092.a 1.a $1$ $64.615$ \(\Q\) None \(0\) \(0\) \(-4\) \(1\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-4q^{5}+q^{7}-3q^{9}-4q^{11}-2q^{19}+\cdots\)
8092.2.a.f 8092.a 1.a $1$ $64.615$ \(\Q\) None \(0\) \(0\) \(4\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+4q^{5}-q^{7}-3q^{9}+4q^{11}-2q^{19}+\cdots\)
8092.2.a.g 8092.a 1.a $1$ $64.615$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{7}-2q^{9}+6q^{11}-4q^{13}+\cdots\)
8092.2.a.h 8092.a 1.a $1$ $64.615$ \(\Q\) None \(0\) \(1\) \(2\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}-q^{7}-2q^{9}+4q^{11}+\cdots\)
8092.2.a.i 8092.a 1.a $1$ $64.615$ \(\Q\) None \(0\) \(2\) \(-2\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}-2q^{5}-q^{7}+q^{9}+4q^{13}+\cdots\)
8092.2.a.j 8092.a 1.a $1$ $64.615$ \(\Q\) None \(0\) \(3\) \(2\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+2q^{5}+q^{7}+6q^{9}+4q^{13}+\cdots\)
8092.2.a.k 8092.a 1.a $2$ $64.615$ \(\Q(\sqrt{13}) \) None \(0\) \(-1\) \(1\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(1-\beta )q^{5}-q^{7}+\beta q^{9}+(4+\cdots)q^{13}+\cdots\)
8092.2.a.l 8092.a 1.a $2$ $64.615$ \(\Q(\sqrt{13}) \) None \(0\) \(1\) \(-1\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(-1+\beta )q^{5}+q^{7}+\beta q^{9}+\cdots\)
8092.2.a.m 8092.a 1.a $2$ $64.615$ \(\Q(\sqrt{5}) \) None \(0\) \(1\) \(1\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(1-\beta )q^{5}+q^{7}+(-2+\beta )q^{9}+\cdots\)
8092.2.a.n 8092.a 1.a $2$ $64.615$ \(\Q(\sqrt{13}) \) None \(0\) \(3\) \(3\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}+(2-\beta )q^{5}-q^{7}+(1+3\beta )q^{9}+\cdots\)
8092.2.a.o 8092.a 1.a $3$ $64.615$ 3.3.788.1 None \(0\) \(-1\) \(4\) \(3\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{3}+(1+\beta _{2})q^{5}+q^{7}+(3-\beta _{1}+\cdots)q^{9}+\cdots\)
8092.2.a.p 8092.a 1.a $3$ $64.615$ 3.3.788.1 None \(0\) \(1\) \(-4\) \(-3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{3}+(-1-\beta _{2})q^{5}-q^{7}+(3-\beta _{1}+\cdots)q^{9}+\cdots\)
8092.2.a.q 8092.a 1.a $4$ $64.615$ 4.4.1957.1 None \(0\) \(-4\) \(-2\) \(4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{2})q^{3}+(-1+\beta _{3})q^{5}+q^{7}+\cdots\)
8092.2.a.r 8092.a 1.a $4$ $64.615$ 4.4.1957.1 None \(0\) \(4\) \(2\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{2})q^{3}+(1-\beta _{3})q^{5}-q^{7}+(2+\cdots)q^{9}+\cdots\)
8092.2.a.s 8092.a 1.a $8$ $64.615$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(-4\) \(-4\) \(8\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{3}q^{3}+(-1-\beta _{1})q^{5}+q^{7}+(-1+\cdots)q^{9}+\cdots\)
8092.2.a.t 8092.a 1.a $8$ $64.615$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(4\) \(4\) \(-8\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{3}q^{3}+(1+\beta _{1})q^{5}-q^{7}+(-1-\beta _{3}+\cdots)q^{9}+\cdots\)
8092.2.a.u 8092.a 1.a $12$ $64.615$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(0\) \(0\) \(-12\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+\beta _{7}q^{5}-q^{7}+(1+\beta _{6}+\beta _{8}+\cdots)q^{9}+\cdots\)
8092.2.a.v 8092.a 1.a $12$ $64.615$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(0\) \(0\) \(-12\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+\beta _{10}q^{5}-q^{7}+(1-\beta _{3}+\beta _{8}+\cdots)q^{9}+\cdots\)
8092.2.a.w 8092.a 1.a $12$ $64.615$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(0\) \(0\) \(12\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-\beta _{10}q^{5}+q^{7}+(1-\beta _{3}+\beta _{8}+\cdots)q^{9}+\cdots\)
8092.2.a.x 8092.a 1.a $12$ $64.615$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(0\) \(0\) \(12\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-\beta _{7}q^{5}+q^{7}+(1+\beta _{6}+\beta _{8}+\cdots)q^{9}+\cdots\)
8092.2.a.y 8092.a 1.a $20$ $64.615$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(0\) \(-8\) \(-8\) \(-20\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-\beta _{12}q^{5}-q^{7}+(1+\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
8092.2.a.z 8092.a 1.a $20$ $64.615$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(0\) \(8\) \(8\) \(20\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+\beta _{12}q^{5}+q^{7}+(1+\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
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