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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.a \(1\) \(44.907\) \(\Q\) None \(0\) \(-12\) \(25\) \(-49\) \(+\) \(-\) \(+\) \(q-12q^{3}+5^{2}q^{5}-7^{2}q^{7}-99q^{9}+\cdots\)
280.6.a.d \(2\) \(44.907\) \(\Q(\sqrt{37}) \) None \(0\) \(26\) \(50\) \(-98\) \(+\) \(-\) \(+\) \(q+(13-\beta )q^{3}+5^{2}q^{5}-7^{2}q^{7}+(74+\cdots)q^{9}+\cdots\)
280.6.a.f \(3\) \(44.907\) 3.3.996509.1 None \(0\) \(14\) \(-75\) \(147\) \(+\) \(+\) \(-\) \(q+(5+\beta _{2})q^{3}-5^{2}q^{5}+7^{2}q^{7}+(4+3\beta _{1}+\cdots)q^{9}+\cdots\)
280.6.a.i \(5\) \(44.907\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(0\) \(-3\) \(-125\) \(-245\) \(-\) \(+\) \(+\) \(q+(-1+\beta _{1})q^{3}-5^{2}q^{5}-7^{2}q^{7}+(74+\cdots)q^{9}+\cdots\)
280.6.a.j \(5\) \(44.907\) \(\mathbb{Q}[x]/(x^{5} - \cdots)\) None \(0\) \(15\) \(125\) \(245\) \(-\) \(-\) \(-\) \(q+(3-\beta _{1})q^{3}+5^{2}q^{5}+7^{2}q^{7}+(226+\cdots)q^{9}+\cdots\)
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