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Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

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Results (8 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 5 7 23
4025.2.a.a 4025.a 1.a $1$ $32.140$ \(\Q\) None \(-2\) \(-3\) \(0\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{2}-3q^{3}+2q^{4}+6q^{6}+q^{7}+\cdots\)
4025.2.a.f 4025.a 1.a $1$ $32.140$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+q^{7}-3q^{8}-3q^{9}-4q^{11}+\cdots\)
4025.2.a.g 4025.a 1.a $1$ $32.140$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+q^{7}-3q^{8}-3q^{9}+2q^{11}+\cdots\)
4025.2.a.h 4025.a 1.a $2$ $32.140$ \(\Q(\sqrt{5}) \) None \(-3\) \(0\) \(0\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta )q^{2}+(-1+2\beta )q^{3}+3\beta q^{4}+\cdots\)
4025.2.a.j 4025.a 1.a $3$ $32.140$ 3.3.148.1 None \(1\) \(-2\) \(0\) \(3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(\beta _{1}+\beta _{2})q^{2}+(-1+\beta _{1})q^{3}+(1+2\beta _{1}+\cdots)q^{4}+\cdots\)
4025.2.a.n 4025.a 1.a $4$ $32.140$ 4.4.22545.1 None \(1\) \(0\) \(0\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{2}+(-\beta _{1}-\beta _{3})q^{3}+(3+\beta _{3})q^{4}+\cdots\)
4025.2.a.r 4025.a 1.a $5$ $32.140$ 5.5.122821.1 None \(3\) \(6\) \(0\) \(5\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(1+\beta _{3})q^{3}+(\beta _{3}+\beta _{4})q^{4}+\cdots\)
4025.2.a.bb 4025.a 1.a $14$ $32.140$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(1\) \(6\) \(0\) \(14\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+\beta _{4}q^{3}+(1+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots\)
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