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

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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 5 7 11
2695.2.a.b 2695.a 1.a $1$ $21.520$ \(\Q\) None \(-1\) \(2\) \(-1\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+2q^{3}-q^{4}-q^{5}-2q^{6}+3q^{8}+\cdots\)
2695.2.a.c 2695.a 1.a $1$ $21.520$ \(\Q\) None \(1\) \(0\) \(-1\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-q^{5}-3q^{8}-3q^{9}-q^{10}+\cdots\)
2695.2.a.l 2695.a 1.a $4$ $21.520$ 4.4.11348.1 None \(2\) \(-2\) \(-4\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{2}+(-1-\beta _{3})q^{3}+(2+\beta _{2}+\cdots)q^{4}+\cdots\)
2695.2.a.m 2695.a 1.a $5$ $21.520$ 5.5.303952.1 None \(-1\) \(0\) \(-5\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+\beta _{4}q^{3}+(1+\beta _{2}-\beta _{3})q^{4}+\cdots\)
2695.2.a.s 2695.a 1.a $8$ $21.520$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(3\) \(-1\) \(-8\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{5}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
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