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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 7 13
1911.2.a.c 1911.a 1.a $1$ $15.259$ \(\Q\) None \(-1\) \(1\) \(4\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}-q^{4}+4q^{5}-q^{6}+3q^{8}+\cdots\)
1911.2.a.k 1911.a 1.a $2$ $15.259$ \(\Q(\sqrt{2}) \) None \(2\) \(2\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{2}+q^{3}+(1+2\beta )q^{4}+(1+\beta )q^{6}+\cdots\)
1911.2.a.l 1911.a 1.a $3$ $15.259$ \(\Q(\zeta_{14})^+\) None \(-2\) \(-3\) \(3\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{2}-q^{3}+(\beta _{1}+\beta _{2})q^{4}+\cdots\)
1911.2.a.n 1911.a 1.a $3$ $15.259$ 3.3.316.1 None \(-2\) \(3\) \(3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+q^{3}+(2-2\beta _{1}+\beta _{2})q^{4}+\cdots\)
1911.2.a.o 1911.a 1.a $3$ $15.259$ \(\Q(\zeta_{18})^+\) None \(0\) \(-3\) \(3\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+\beta _{2}q^{4}+(1+\beta _{1})q^{5}+\cdots\)
1911.2.a.r 1911.a 1.a $4$ $15.259$ 4.4.69777.1 None \(-1\) \(4\) \(3\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
1911.2.a.s 1911.a 1.a $4$ $15.259$ 4.4.17428.1 None \(1\) \(-4\) \(3\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+(1+\beta _{2}+\cdots)q^{5}+\cdots\)
1911.2.a.u 1911.a 1.a $5$ $15.259$ 5.5.375116.1 None \(0\) \(5\) \(3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{3}q^{2}+q^{3}+(1-\beta _{4})q^{4}+(1-\beta _{2}+\cdots)q^{5}+\cdots\)
1911.2.a.v 1911.a 1.a $5$ $15.259$ 5.5.2196544.1 None \(2\) \(-5\) \(-3\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{4})q^{5}+\cdots\)
1911.2.a.w 1911.a 1.a $5$ $15.259$ 5.5.2196544.1 None \(2\) \(5\) \(3\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{4})q^{5}+\cdots\)
1911.2.a.x 1911.a 1.a $10$ $15.259$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(4\) \(-10\) \(6\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+(1+\beta _{5}+\cdots)q^{5}+\cdots\)
1911.2.a.y 1911.a 1.a $10$ $15.259$ \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(4\) \(10\) \(-6\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+(-1-\beta _{5}+\cdots)q^{5}+\cdots\)
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