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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 7 23
4508.2.a.a 4508.a 1.a $1$ $35.997$ \(\Q\) None \(0\) \(-1\) \(0\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{9}+q^{13}+6q^{17}-2q^{19}+\cdots\)
4508.2.a.c 4508.a 1.a $1$ $35.997$ \(\Q\) None \(0\) \(1\) \(0\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{9}-2q^{11}+3q^{13}-q^{23}+\cdots\)
4508.2.a.e 4508.a 1.a $4$ $35.997$ \(\Q(\zeta_{24})^+\) None \(0\) \(0\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(-1+\beta _{2})q^{9}-2\beta _{2}q^{11}+\cdots\)
4508.2.a.f 4508.a 1.a $5$ $35.997$ 5.5.6963152.1 None \(0\) \(-3\) \(-2\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+(-1+\beta _{2}-\beta _{3})q^{5}+\cdots\)
4508.2.a.h 4508.a 1.a $6$ $35.997$ 6.6.217653248.1 None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(-\beta _{1}+\beta _{5})q^{5}+(1+\beta _{2}+\cdots)q^{9}+\cdots\)
4508.2.a.j 4508.a 1.a $6$ $35.997$ 6.6.73156608.1 None \(0\) \(0\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(-\beta _{1}-\beta _{5})q^{5}+(1+\beta _{3}+\cdots)q^{9}+\cdots\)
4508.2.a.k 4508.a 1.a $7$ $35.997$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(-5\) \(-2\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+\beta _{5}q^{5}+(1-\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
4508.2.a.l 4508.a 1.a $7$ $35.997$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(0\) \(-3\) \(-2\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{4}q^{3}-\beta _{5}q^{5}+(1+\beta _{1}-\beta _{4}+\beta _{5}+\cdots)q^{9}+\cdots\)
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