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Results (21 matches)

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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2672.1.g.a \(5\) \(1.334\) \(\Q(\zeta_{22})^+\) \(\Q(\sqrt{-167}) \) None \(0\) \(1\) \(0\) \(1\) \(q+(1-\beta _{1}+\beta _{2}-\beta _{3}+\beta _{4})q^{3}-\beta _{2}q^{7}+\cdots\)
2672.1.i.a \(2\) \(1.334\) \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-167}) \) None \(0\) \(-2\) \(0\) \(0\) \(q+iq^{2}+(-1+i)q^{3}-q^{4}+(-1-i+\cdots)q^{6}+\cdots\)
2672.1.i.b \(20\) \(1.334\) \(\Q(\zeta_{44})\) \(\Q(\sqrt{-167}) \) None \(0\) \(2\) \(0\) \(0\) \(q-\zeta_{44}^{7}q^{2}+(\zeta_{44}^{5}+\zeta_{44}^{6})q^{3}+\zeta_{44}^{14}q^{4}+\cdots\)
2672.2.a.a \(1\) \(21.336\) \(\Q\) None None \(0\) \(0\) \(3\) \(-1\) \(+\) \(q+3q^{5}-q^{7}-3q^{9}-2q^{13}-2q^{17}+\cdots\)
2672.2.a.b \(2\) \(21.336\) \(\Q(\sqrt{5}) \) None None \(0\) \(-3\) \(0\) \(7\) \(-\) \(q+(-1-\beta )q^{3}+(1-2\beta )q^{5}+(4-\beta )q^{7}+\cdots\)
2672.2.a.c \(2\) \(21.336\) \(\Q(\sqrt{13}) \) None None \(0\) \(-1\) \(-6\) \(-3\) \(+\) \(q-\beta q^{3}-3q^{5}+(-1-\beta )q^{7}+\beta q^{9}+\cdots\)
2672.2.a.d \(2\) \(21.336\) \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(2\) \(6\) \(-\) \(q+2\beta q^{3}+(1+\beta )q^{5}+3q^{7}+5q^{9}+\cdots\)
2672.2.a.e \(2\) \(21.336\) \(\Q(\sqrt{5}) \) None None \(0\) \(1\) \(-2\) \(0\) \(+\) \(q+\beta q^{3}-q^{5}+(1-2\beta )q^{7}+(-2+\beta )q^{9}+\cdots\)
2672.2.a.f \(2\) \(21.336\) \(\Q(\sqrt{5}) \) None None \(0\) \(1\) \(-2\) \(5\) \(+\) \(q+\beta q^{3}-q^{5}+(3-\beta )q^{7}+(-2+\beta )q^{9}+\cdots\)
2672.2.a.g \(2\) \(21.336\) \(\Q(\sqrt{5}) \) None None \(0\) \(3\) \(-4\) \(6\) \(-\) \(q+(1+\beta )q^{3}+(-3+2\beta )q^{5}+3q^{7}+\cdots\)
2672.2.a.h \(3\) \(21.336\) 3.3.733.1 None None \(0\) \(-1\) \(-3\) \(-3\) \(+\) \(q-\beta _{1}q^{3}-q^{5}-q^{7}+(2+\beta _{2})q^{9}+(-3+\cdots)q^{11}+\cdots\)
2672.2.a.i \(3\) \(21.336\) 3.3.469.1 None None \(0\) \(1\) \(0\) \(0\) \(-\) \(q+\beta _{1}q^{3}+(-\beta _{1}-\beta _{2})q^{5}+(\beta _{1}+\beta _{2})q^{7}+\cdots\)
2672.2.a.j \(5\) \(21.336\) 5.5.826865.1 None None \(0\) \(-3\) \(10\) \(-9\) \(+\) \(q+(-1+\beta _{2})q^{3}+2q^{5}+(-2+\beta _{3}+\cdots)q^{7}+\cdots\)
2672.2.a.k \(7\) \(21.336\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(0\) \(4\) \(-2\) \(12\) \(-\) \(q+(1+\beta _{3})q^{3}+(\beta _{1}-\beta _{2}+\beta _{3})q^{5}+(2+\cdots)q^{7}+\cdots\)
2672.2.a.l \(7\) \(21.336\) \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None None \(0\) \(6\) \(0\) \(1\) \(-\) \(q+(1-\beta _{1})q^{3}+(-\beta _{4}+\beta _{5})q^{5}+(1+\beta _{3}+\cdots)q^{7}+\cdots\)
2672.2.a.m \(9\) \(21.336\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(0\) \(1\) \(-8\) \(-2\) \(+\) \(q+\beta _{1}q^{3}+(-1-\beta _{2}-\beta _{8})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
2672.2.a.n \(12\) \(21.336\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(-5\) \(-2\) \(-10\) \(+\) \(q-\beta _{1}q^{3}+\beta _{9}q^{5}+(-1-\beta _{11})q^{7}+\cdots\)
2672.2.a.o \(12\) \(21.336\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(-3\) \(4\) \(-11\) \(-\) \(q-\beta _{5}q^{3}-\beta _{8}q^{5}+(-1+\beta _{2})q^{7}+(3+\cdots)q^{9}+\cdots\)
2672.2.a.p \(12\) \(21.336\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(1\) \(8\) \(4\) \(-\) \(q+\beta _{1}q^{3}+(1-\beta _{9})q^{5}-\beta _{11}q^{7}+(2+\cdots)q^{9}+\cdots\)
2672.2.b.a \(28\) \(21.336\) None None \(0\) \(0\) \(0\) \(0\)
2672.2.b.b \(56\) \(21.336\) None None \(0\) \(0\) \(0\) \(0\)
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