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Results (5 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
1911.4.a.f 1911.a 1.a $1$ $112.753$ \(\Q\) None \(0\) \(3\) \(12\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{3}-8q^{4}+12q^{5}+9q^{9}-6^{2}q^{11}+\cdots\)
1911.4.a.n 1911.a 1.a $5$ $112.753$ \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(5\) \(15\) \(-15\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+3q^{3}+(7-\beta _{1}+\beta _{3}+\cdots)q^{4}+\cdots\)
1911.4.a.o 1911.a 1.a $6$ $112.753$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(-6\) \(18\) \(-3\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+3q^{3}+(6-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
1911.4.a.y 1911.a 1.a $11$ $112.753$ \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(1\) \(33\) \(-18\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+3q^{3}+(6+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots\)
1911.4.a.ba 1911.a 1.a $13$ $112.753$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-1\) \(39\) \(39\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+3q^{3}+(4+\beta _{2})q^{4}+(3+\beta _{2}+\cdots)q^{5}+\cdots\)
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