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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 19
1900.2.a.c \(1\) \(15.172\) \(\Q\) None \(0\) \(0\) \(0\) \(2\) \(-\) \(+\) \(-\) \(q+2q^{7}-3q^{9}-4q^{11}+4q^{13}-6q^{17}+\cdots\)
1900.2.a.d \(2\) \(15.172\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(-4\) \(-\) \(+\) \(-\) \(q+(-1+\beta )q^{3}-2q^{7}+(1-2\beta )q^{9}+\cdots\)
1900.2.a.f \(3\) \(15.172\) 3.3.257.1 None \(0\) \(-2\) \(0\) \(-2\) \(-\) \(-\) \(+\) \(q+(-1+\beta _{1})q^{3}+(-1+\beta _{1})q^{7}+(1+\cdots)q^{9}+\cdots\)
1900.2.a.g \(3\) \(15.172\) 3.3.321.1 None \(0\) \(-2\) \(0\) \(-2\) \(-\) \(+\) \(-\) \(q+(-1-\beta _{2})q^{3}+(-1+2\beta _{1}+\beta _{2})q^{7}+\cdots\)
1900.2.a.j \(4\) \(15.172\) \(\Q(\sqrt{2}, \sqrt{5})\) None \(0\) \(0\) \(0\) \(0\) \(-\) \(-\) \(+\) \(q+\beta _{1}q^{3}+(-\beta _{1}-\beta _{3})q^{7}+\beta _{2}q^{9}+\cdots\)
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