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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
280.6.a.b \(1\) \(44.907\) \(\Q\) None \(0\) \(4\) \(25\) \(-49\) \(-\) \(-\) \(+\) \(q+4q^{3}+5^{2}q^{5}-7^{2}q^{7}-227q^{9}+\cdots\)
280.6.a.c \(2\) \(44.907\) \(\Q(\sqrt{109}) \) None \(0\) \(2\) \(50\) \(-98\) \(-\) \(-\) \(+\) \(q+(1+\beta )q^{3}+5^{2}q^{5}-7^{2}q^{7}+(194+\cdots)q^{9}+\cdots\)
280.6.a.e \(3\) \(44.907\) \(\mathbb{Q}[x]/(x^{3} - \cdots)\) None \(0\) \(6\) \(-75\) \(147\) \(-\) \(+\) \(-\) \(q+(2-\beta _{1})q^{3}-5^{2}q^{5}+7^{2}q^{7}+(70+\cdots)q^{9}+\cdots\)
280.6.a.g \(4\) \(44.907\) \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(0\) \(-13\) \(100\) \(196\) \(+\) \(-\) \(-\) \(q+(-3-\beta _{1})q^{3}+5^{2}q^{5}+7^{2}q^{7}+(-7^{2}+\cdots)q^{9}+\cdots\)
280.6.a.h \(4\) \(44.907\) \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(0\) \(5\) \(-100\) \(-196\) \(+\) \(+\) \(+\) \(q+(1+\beta _{1})q^{3}-5^{2}q^{5}-7^{2}q^{7}+(142+\cdots)q^{9}+\cdots\)
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