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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2008.1.c.a \(3\) \(1.002\) \(\Q(\zeta_{14})^+\) \(\Q(\sqrt{-502}) \) None \(-3\) \(0\) \(0\) \(-1\) \(q-q^{2}+q^{4}-\beta _{1}q^{7}-q^{8}+q^{9}-\beta _{2}q^{11}+\cdots\)
2008.1.c.b \(3\) \(1.002\) \(\Q(\zeta_{14})^+\) \(\Q(\sqrt{-502}) \) None \(3\) \(0\) \(0\) \(-1\) \(q+q^{2}+q^{4}-\beta _{1}q^{7}+q^{8}+q^{9}+\beta _{2}q^{11}+\cdots\)
2008.1.j.a \(4\) \(1.002\) \(\Q(\zeta_{10})\) \(\Q(\sqrt{-2}) \) None \(4\) \(-2\) \(0\) \(0\) \(q+q^{2}+(-\zeta_{10}+\zeta_{10}^{2})q^{3}+q^{4}+(-\zeta_{10}+\cdots)q^{6}+\cdots\)
2008.1.w.a \(20\) \(1.002\) \(\Q(\zeta_{50})\) \(\Q(\sqrt{-2}) \) None \(-5\) \(0\) \(0\) \(0\) \(q-\zeta_{50}^{5}q^{2}+(\zeta_{50}^{2}+\zeta_{50}^{4})q^{3}+\zeta_{50}^{10}q^{4}+\cdots\)
2008.1.bd.a \(100\) \(1.002\) \(\Q(\zeta_{250})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{250}^{35}q^{2}+(\zeta_{250}^{14}-\zeta_{250}^{53})q^{3}+\cdots\)
2008.2.a.a \(9\) \(16.034\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(0\) \(-1\) \(-5\) \(0\) \(+\) \(q-\beta _{1}q^{3}+(-1-\beta _{5})q^{5}+(\beta _{6}-\beta _{7}+\cdots)q^{7}+\cdots\)
2008.2.a.b \(12\) \(16.034\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(3\) \(5\) \(5\) \(-\) \(q+\beta _{1}q^{3}+\beta _{8}q^{5}+\beta _{5}q^{7}+(\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
2008.2.a.c \(19\) \(16.034\) \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None None \(0\) \(-6\) \(-8\) \(-11\) \(+\) \(q-\beta _{1}q^{3}+\beta _{4}q^{5}+(-1-\beta _{13})q^{7}+\cdots\)
2008.2.a.d \(23\) \(16.034\) None None \(0\) \(2\) \(8\) \(2\) \(-\)
2008.4.a.a \(40\) \(118.476\) None None \(0\) \(-4\) \(-32\) \(-10\) \(-\)
2008.4.a.b \(43\) \(118.476\) None None \(0\) \(16\) \(34\) \(41\) \(+\)
2008.4.a.c \(50\) \(118.476\) None None \(0\) \(-11\) \(-31\) \(-71\) \(-\)
2008.4.a.d \(54\) \(118.476\) None None \(0\) \(5\) \(33\) \(4\) \(+\)


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