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Results (5 matches)

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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
471.1.d.a 471.d 471.d $1$ $0.235$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-471}) \) \(\Q(\sqrt{157}) \) \(0\) \(1\) \(0\) \(0\) \(q+q^{3}-q^{4}+q^{9}-q^{12}+2q^{13}+q^{16}+\cdots\)
1727.1.d.b 1727.d 1727.d $1$ $0.862$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-1727}) \) \(\Q(\sqrt{157}) \) \(0\) \(2\) \(0\) \(0\) \(q+2q^{3}-q^{4}+3q^{9}-q^{11}-2q^{12}+\cdots\)
2512.1.c.a 2512.c 628.b $1$ $1.254$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-157}) \) \(\Q(\sqrt{157}) \) \(0\) \(0\) \(0\) \(0\) \(q+q^{9}-2q^{13}+2q^{17}+q^{25}+2q^{37}+\cdots\)
2983.1.d.a 2983.d 2983.d $1$ $1.489$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-2983}) \) \(\Q(\sqrt{157}) \) \(0\) \(0\) \(0\) \(0\) \(q-q^{4}+q^{9}+2q^{11}+q^{16}-2q^{17}+\cdots\)
2983.1.o.a 2983.o 2983.o $2$ $1.489$ \(\Q(\sqrt{-3}) \) $D_{6}$ None \(\Q(\sqrt{157}) \) \(0\) \(3\) \(0\) \(0\) \(q+(1-\zeta_{6}^{2})q^{3}-\zeta_{6}^{2}q^{4}+(1-\zeta_{6}-\zeta_{6}^{2}+\cdots)q^{9}+\cdots\)
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