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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 5 7
735.4.a.c 735.a 1.a $1$ $43.366$ \(\Q\) None \(0\) \(3\) \(-5\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}-8q^{4}-5q^{5}+9q^{9}+42q^{11}+\cdots\)
735.4.a.j 735.a 1.a $1$ $43.366$ \(\Q\) None \(5\) \(3\) \(-5\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+5q^{2}+3q^{3}+17q^{4}-5q^{5}+15q^{6}+\cdots\)
735.4.a.o 735.a 1.a $2$ $43.366$ \(\Q(\sqrt{2}) \) None \(-2\) \(6\) \(-10\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta )q^{2}+3q^{3}+(1-2\beta )q^{4}+\cdots\)
735.4.a.s 735.a 1.a $3$ $43.366$ 3.3.4892.1 None \(3\) \(9\) \(-15\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+3q^{3}+(-\beta _{1}+\beta _{2})q^{4}+\cdots\)
735.4.a.w 735.a 1.a $4$ $43.366$ \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(1\) \(12\) \(-20\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+3q^{3}+(10+\beta _{2})q^{4}-5q^{5}+\cdots\)
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