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Results (6 matches)

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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
548.1.d.a 548.d 548.d $1$ $0.273$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-137}) \) \(\Q(\sqrt{137}) \) \(1\) \(0\) \(0\) \(0\) \(q+q^{2}+q^{4}+q^{8}-q^{9}+q^{16}-2q^{17}+\cdots\)
959.1.d.c 959.d 959.d $1$ $0.479$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-959}) \) \(\Q(\sqrt{137}) \) \(2\) \(0\) \(0\) \(-1\) \(q+2q^{2}+3q^{4}-q^{7}+4q^{8}-q^{9}-2q^{11}+\cdots\)
1096.1.e.a 1096.e 1096.e $1$ $0.547$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-274}) \) \(\Q(\sqrt{137}) \) \(-1\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}-q^{8}+q^{9}-2q^{11}+q^{16}+\cdots\)
1507.1.b.a 1507.b 1507.b $1$ $0.752$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-1507}) \) \(\Q(\sqrt{137}) \) \(0\) \(0\) \(0\) \(0\) \(q+q^{4}+q^{9}-q^{11}+q^{16}+q^{25}+q^{36}+\cdots\)
2192.1.p.a 2192.p 2192.p $2$ $1.094$ \(\Q(\sqrt{-1}) \) $D_{4}$ None \(\Q(\sqrt{137}) \) \(0\) \(0\) \(0\) \(-4\) \(q+iq^{2}-q^{4}-q^{7}-iq^{8}-iq^{9}+(1+\cdots)q^{11}+\cdots\)
2603.1.c.a 2603.c 2603.c $1$ $1.299$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-2603}) \) \(\Q(\sqrt{137}) \) \(0\) \(0\) \(0\) \(-2\) \(q+q^{4}-2q^{7}-q^{9}+2q^{11}+q^{16}+\cdots\)
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