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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 23
230.4.a.c \(1\) \(13.570\) \(\Q\) None \(-2\) \(7\) \(5\) \(20\) \(+\) \(-\) \(-\) \(q-2q^{2}+7q^{3}+4q^{4}+5q^{5}-14q^{6}+\cdots\)
230.4.a.g \(3\) \(13.570\) 3.3.318165.1 None \(-6\) \(-1\) \(15\) \(7\) \(+\) \(-\) \(-\) \(q-2q^{2}-\beta _{1}q^{3}+4q^{4}+5q^{5}+2\beta _{1}q^{6}+\cdots\)
230.4.a.h \(4\) \(13.570\) \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(-8\) \(-4\) \(-20\) \(-1\) \(+\) \(+\) \(+\) \(q-2q^{2}+(-1+\beta _{1})q^{3}+4q^{4}-5q^{5}+\cdots\)
230.4.a.i \(4\) \(13.570\) \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(8\) \(4\) \(-20\) \(26\) \(-\) \(+\) \(-\) \(q+2q^{2}+(1-\beta _{1})q^{3}+4q^{4}-5q^{5}+\cdots\)
230.4.a.j \(4\) \(13.570\) \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(8\) \(14\) \(20\) \(8\) \(-\) \(-\) \(+\) \(q+2q^{2}+(4-\beta _{1})q^{3}+4q^{4}+5q^{5}+\cdots\)
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