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Results (12 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 5 7 11
2695.2.a.a 2695.a 1.a $1$ $21.520$ \(\Q\) None \(-1\) \(0\) \(-1\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}-q^{5}+3q^{8}-3q^{9}+q^{10}+\cdots\)
2695.2.a.d 2695.a 1.a $2$ $21.520$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(-1-\beta )q^{3}+q^{4}+q^{5}+(-3+\cdots)q^{6}+\cdots\)
2695.2.a.g 2695.a 1.a $3$ $21.520$ 3.3.148.1 None \(-3\) \(2\) \(3\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}+(1-\beta _{1})q^{3}+(2-\beta _{1}+\cdots)q^{4}+\cdots\)
2695.2.a.i 2695.a 1.a $3$ $21.520$ 3.3.148.1 None \(1\) \(0\) \(-3\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{2}q^{3}+(\beta _{1}+\beta _{2})q^{4}-q^{5}+\cdots\)
2695.2.a.j 2695.a 1.a $4$ $21.520$ 4.4.1957.1 None \(-3\) \(-3\) \(4\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{1}-\beta _{2})q^{2}+(-1-\beta _{2})q^{3}+\cdots\)
2695.2.a.k 2695.a 1.a $4$ $21.520$ 4.4.1957.1 None \(-3\) \(3\) \(-4\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{1}-\beta _{2})q^{2}+(1+\beta _{2})q^{3}+\cdots\)
2695.2.a.n 2695.a 1.a $5$ $21.520$ 5.5.303952.1 None \(-1\) \(0\) \(5\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-\beta _{4}q^{3}+(1+\beta _{2}-\beta _{3})q^{4}+\cdots\)
2695.2.a.o 2695.a 1.a $5$ $21.520$ 5.5.394064.1 None \(1\) \(-4\) \(-5\) \(0\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(-1-\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
2695.2.a.q 2695.a 1.a $6$ $21.520$ 6.6.15751800.1 None \(-3\) \(-1\) \(6\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{2}-\beta _{1}q^{3}+(\beta _{2}+\beta _{5})q^{4}+q^{5}+\cdots\)
2695.2.a.r 2695.a 1.a $6$ $21.520$ 6.6.15751800.1 None \(-3\) \(1\) \(-6\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{2}+\beta _{1}q^{3}+(\beta _{2}+\beta _{5})q^{4}-q^{5}+\cdots\)
2695.2.a.u 2695.a 1.a $10$ $21.520$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(-2\) \(-8\) \(10\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(-1-\beta _{9})q^{3}+(1+\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots\)
2695.2.a.w 2695.a 1.a $10$ $21.520$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(2\) \(0\) \(-10\) \(0\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{8}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
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