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Results (33 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 13
5096.2.a.a 5096.a 1.a $1$ $40.692$ \(\Q\) None \(0\) \(-2\) \(-3\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-3q^{5}+q^{9}+q^{13}+6q^{15}+\cdots\)
5096.2.a.b 5096.a 1.a $1$ $40.692$ \(\Q\) None \(0\) \(-1\) \(-3\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-3q^{5}-2q^{9}-3q^{11}-q^{13}+\cdots\)
5096.2.a.c 5096.a 1.a $1$ $40.692$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-2q^{9}-2q^{11}+q^{13}+\cdots\)
5096.2.a.d 5096.a 1.a $1$ $40.692$ \(\Q\) None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-2q^{9}+5q^{11}+q^{13}+\cdots\)
5096.2.a.e 5096.a 1.a $1$ $40.692$ \(\Q\) None \(0\) \(-1\) \(3\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{5}-2q^{9}-q^{11}-q^{13}+\cdots\)
5096.2.a.f 5096.a 1.a $1$ $40.692$ \(\Q\) None \(0\) \(0\) \(1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}-3q^{9}+2q^{11}-q^{13}+7q^{19}+\cdots\)
5096.2.a.g 5096.a 1.a $1$ $40.692$ \(\Q\) None \(0\) \(1\) \(-3\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{5}-2q^{9}-q^{11}+q^{13}+\cdots\)
5096.2.a.h 5096.a 1.a $1$ $40.692$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-2q^{9}+5q^{11}-q^{13}+\cdots\)
5096.2.a.i 5096.a 1.a $1$ $40.692$ \(\Q\) None \(0\) \(1\) \(0\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{9}+3q^{11}+q^{13}-4q^{17}+\cdots\)
5096.2.a.j 5096.a 1.a $1$ $40.692$ \(\Q\) None \(0\) \(1\) \(3\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+3q^{5}-2q^{9}-3q^{11}+q^{13}+\cdots\)
5096.2.a.k 5096.a 1.a $1$ $40.692$ \(\Q\) None \(0\) \(2\) \(1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{5}+q^{9}+4q^{11}+q^{13}+\cdots\)
5096.2.a.l 5096.a 1.a $2$ $40.692$ \(\Q(\sqrt{7}) \) None \(0\) \(-4\) \(0\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{9}+(-2+\beta )q^{11}+q^{13}+\cdots\)
5096.2.a.m 5096.a 1.a $2$ $40.692$ \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(-3\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(-2+\beta )q^{5}+(1+\beta )q^{9}-2\beta q^{11}+\cdots\)
5096.2.a.n 5096.a 1.a $2$ $40.692$ \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(1\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(1-\beta )q^{5}+(1+\beta )q^{9}+(2+\beta )q^{11}+\cdots\)
5096.2.a.o 5096.a 1.a $2$ $40.692$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}-\beta q^{5}+(1+2\beta )q^{9}+(-1+\cdots)q^{11}+\cdots\)
5096.2.a.p 5096.a 1.a $2$ $40.692$ \(\Q(\sqrt{7}) \) None \(0\) \(4\) \(0\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2q^{3}+q^{9}+(-2-\beta )q^{11}-q^{13}+\cdots\)
5096.2.a.q 5096.a 1.a $2$ $40.692$ \(\Q(\sqrt{2}) \) None \(0\) \(4\) \(2\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(2+\beta )q^{3}+(1+\beta )q^{5}+(3+4\beta )q^{9}+\cdots\)
5096.2.a.r 5096.a 1.a $4$ $40.692$ 4.4.23252.1 None \(0\) \(-1\) \(-3\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+(-1+\beta _{3})q^{5}+(\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
5096.2.a.s 5096.a 1.a $4$ $40.692$ 4.4.64268.1 None \(0\) \(-1\) \(-2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+(-1-\beta _{2})q^{5}+(3+\beta _{1}+\beta _{3})q^{9}+\cdots\)
5096.2.a.t 5096.a 1.a $4$ $40.692$ 4.4.183064.1 None \(0\) \(-1\) \(0\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+\beta _{3}q^{5}+(2+\beta _{2})q^{9}+\beta _{1}q^{11}+\cdots\)
5096.2.a.u 5096.a 1.a $4$ $40.692$ 4.4.20308.1 None \(0\) \(-1\) \(1\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+(\beta _{1}+\beta _{2})q^{5}+(1+\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
5096.2.a.v 5096.a 1.a $4$ $40.692$ 4.4.20308.1 None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(-\beta _{1}-\beta _{2})q^{5}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
5096.2.a.w 5096.a 1.a $4$ $40.692$ 4.4.23252.1 None \(0\) \(1\) \(3\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(1-\beta _{3})q^{5}+(\beta _{1}+\beta _{2})q^{9}+\cdots\)
5096.2.a.x 5096.a 1.a $5$ $40.692$ 5.5.2398996.1 None \(0\) \(-1\) \(1\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-\beta _{3}q^{5}+(\beta _{2}-\beta _{3})q^{9}+(\beta _{3}+\cdots)q^{11}+\cdots\)
5096.2.a.y 5096.a 1.a $5$ $40.692$ 5.5.2398996.1 None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+\beta _{3}q^{5}+(\beta _{2}-\beta _{3})q^{9}+(\beta _{3}+\cdots)q^{11}+\cdots\)
5096.2.a.z 5096.a 1.a $7$ $40.692$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(-2\) \(2\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+\beta _{4}q^{5}+(1+\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{9}+\cdots\)
5096.2.a.ba 5096.a 1.a $7$ $40.692$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(2\) \(-2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-\beta _{4}q^{5}+(1+\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{9}+\cdots\)
5096.2.a.bb 5096.a 1.a $8$ $40.692$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(-2\) \(0\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-\beta _{6}q^{5}+(2-\beta _{2}-\beta _{4}+\beta _{7})q^{9}+\cdots\)
5096.2.a.bc 5096.a 1.a $8$ $40.692$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(-2\) \(2\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+\beta _{3}q^{5}+(1+\beta _{1}-\beta _{2}-\beta _{3}+\cdots)q^{9}+\cdots\)
5096.2.a.bd 5096.a 1.a $8$ $40.692$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(2\) \(-2\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-\beta _{3}q^{5}+(1+\beta _{1}-\beta _{2}-\beta _{3}+\cdots)q^{9}+\cdots\)
5096.2.a.be 5096.a 1.a $8$ $40.692$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(0\) \(2\) \(0\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+\beta _{6}q^{5}+(2-\beta _{2}-\beta _{4}+\beta _{7})q^{9}+\cdots\)
5096.2.a.bf 5096.a 1.a $10$ $40.692$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(-2\) \(-6\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+(-1+\beta _{9})q^{5}+(2+\beta _{8}-\beta _{9})q^{9}+\cdots\)
5096.2.a.bg 5096.a 1.a $10$ $40.692$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(2\) \(6\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(1-\beta _{9})q^{5}+(2+\beta _{8}-\beta _{9})q^{9}+\cdots\)
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