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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 5 7
3920.2.a.by \(2\) \(31.301\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) \(+\) \(-\) \(+\) \(q+(1+\beta )q^{3}+q^{5}+2\beta q^{9}+q^{11}+(-1+\cdots)q^{13}+\cdots\)
3920.2.a.bz \(2\) \(31.301\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(2\) \(0\) \(+\) \(-\) \(+\) \(q+(1+\beta )q^{3}+q^{5}+2\beta q^{9}+(2+2\beta )q^{11}+\cdots\)
3920.2.a.cc \(3\) \(31.301\) 3.3.1944.1 None \(0\) \(0\) \(3\) \(0\) \(+\) \(-\) \(+\) \(q+\beta _{1}q^{3}+q^{5}+(3+\beta _{1}+\beta _{2})q^{9}+(-1+\cdots)q^{11}+\cdots\)
3920.2.a.cd \(4\) \(31.301\) 4.4.16448.2 None \(0\) \(-2\) \(4\) \(0\) \(+\) \(-\) \(+\) \(q-\beta _{1}q^{3}+q^{5}+(1+\beta _{1}+\beta _{2})q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
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