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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 5 23
1840.4.a.f 1840.a 1.a $1$ $108.564$ \(\Q\) None \(0\) \(3\) \(5\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+5q^{5}+2q^{7}-18q^{9}+2^{4}q^{11}+\cdots\)
1840.4.a.h 1840.a 1.a $2$ $108.564$ \(\Q(\sqrt{109}) \) None \(0\) \(3\) \(10\) \(-1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}+5q^{5}+(2-5\beta )q^{7}+(1+\cdots)q^{9}+\cdots\)
1840.4.a.i 1840.a 1.a $2$ $108.564$ \(\Q(\sqrt{73}) \) None \(0\) \(3\) \(10\) \(17\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}+5q^{5}+(8+\beta )q^{7}+(-8+\cdots)q^{9}+\cdots\)
1840.4.a.k 1840.a 1.a $4$ $108.564$ \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(0\) \(-14\) \(20\) \(-8\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-4+\beta _{1})q^{3}+5q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots\)
1840.4.a.t 1840.a 1.a $6$ $108.564$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(0\) \(1\) \(30\) \(-24\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+5q^{5}+(-4-\beta _{3}+\beta _{4})q^{7}+\cdots\)
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