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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.e 1911.a 1.a $1$ $112.753$ \(\Q\) None \(-1\) \(-3\) \(5\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-3q^{3}-7q^{4}+5q^{5}+3q^{6}+\cdots\)
1911.4.a.k 1911.a 1.a $3$ $112.753$ 3.3.3144.1 None \(2\) \(-9\) \(-4\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}-3q^{3}+(3+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots\)
1911.4.a.p 1911.a 1.a $6$ $112.753$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(0\) \(-18\) \(-3\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-3q^{3}+(7+\beta _{1}+\beta _{2})q^{4}+\cdots\)
1911.4.a.r 1911.a 1.a $7$ $112.753$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-3\) \(-21\) \(2\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-3q^{3}+(4+\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
1911.4.a.bb 1911.a 1.a $13$ $112.753$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(3\) \(-39\) \(-15\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-3q^{3}+(4+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
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