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Results (33 matches)

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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1148.1.o.a \(2\) \(0.573\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-41}) \) None \(-1\) \(-1\) \(1\) \(1\) \(q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}+\cdots\)
1148.1.o.b \(2\) \(0.573\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-41}) \) None \(-1\) \(1\) \(1\) \(-1\) \(q-\zeta_{6}q^{2}-\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}+\cdots\)
1148.1.o.c \(4\) \(0.573\) \(\Q(\zeta_{12})\) \(\Q(\sqrt{-41}) \) None \(-2\) \(0\) \(-2\) \(0\) \(q+\zeta_{12}^{4}q^{2}+(\zeta_{12}+\zeta_{12}^{3})q^{3}-\zeta_{12}^{2}q^{4}+\cdots\)
1148.1.o.d \(8\) \(0.573\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-41}) \) None \(4\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{8}q^{2}+(-\zeta_{24}^{9}+\zeta_{24}^{11})q^{3}+\cdots\)
1148.1.bc.a \(8\) \(0.573\) \(\Q(\zeta_{20})\) None None \(0\) \(0\) \(0\) \(-2\) \(q+\zeta_{20}^{5}q^{3}-\zeta_{20}q^{5}-\zeta_{20}^{2}q^{7}+(\zeta_{20}^{2}+\cdots)q^{11}+\cdots\)
1148.1.bj.a \(8\) \(0.573\) \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{2}q^{2}-\zeta_{24}^{7}q^{3}+\zeta_{24}^{4}q^{4}+\cdots\)
1148.2.a.a \(2\) \(9.167\) \(\Q(\sqrt{13}) \) None None \(0\) \(-3\) \(-3\) \(2\) \(+\) \(q+(-1-\beta )q^{3}+(-1-\beta )q^{5}+q^{7}+\cdots\)
1148.2.a.b \(3\) \(9.167\) \(\Q(\zeta_{18})^+\) None None \(0\) \(-3\) \(0\) \(3\) \(+\) \(q+(-1+\beta _{1})q^{3}+(-2\beta _{1}+2\beta _{2})q^{5}+\cdots\)
1148.2.a.c \(5\) \(9.167\) 5.5.470117.1 None None \(0\) \(-2\) \(-1\) \(-5\) \(+\) \(q-\beta _{1}q^{3}+(-1+\beta _{1}-\beta _{2})q^{5}-q^{7}+\cdots\)
1148.2.a.d \(5\) \(9.167\) 5.5.287349.1 None None \(0\) \(2\) \(-3\) \(-5\) \(-\) \(q+\beta _{2}q^{3}+(-1+\beta _{2}-\beta _{3})q^{5}-q^{7}+\cdots\)
1148.2.a.e \(5\) \(9.167\) 5.5.1935333.1 None None \(0\) \(2\) \(3\) \(5\) \(-\) \(q+\beta _{1}q^{3}+(1+\beta _{4})q^{5}+q^{7}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
1148.2.d.a \(20\) \(9.167\) \(\mathbb{Q}[x]/(x^{20} + \cdots)\) None None \(0\) \(0\) \(4\) \(0\) \(q+\beta _{12}q^{3}+\beta _{2}q^{5}-\beta _{9}q^{7}+(-1-\beta _{7}+\cdots)q^{9}+\cdots\)
1148.2.i.a \(2\) \(9.167\) \(\Q(\sqrt{-3}) \) None None \(0\) \(-1\) \(3\) \(5\) \(q+(-1+\zeta_{6})q^{3}+3\zeta_{6}q^{5}+(2+\zeta_{6})q^{7}+\cdots\)
1148.2.i.b \(2\) \(9.167\) \(\Q(\sqrt{-3}) \) None None \(0\) \(1\) \(1\) \(-4\) \(q+(1-\zeta_{6})q^{3}+\zeta_{6}q^{5}+(-1-2\zeta_{6})q^{7}+\cdots\)
1148.2.i.c \(2\) \(9.167\) \(\Q(\sqrt{-3}) \) None None \(0\) \(1\) \(1\) \(4\) \(q+(1-\zeta_{6})q^{3}+\zeta_{6}q^{5}+(3-2\zeta_{6})q^{7}+\cdots\)
1148.2.i.d \(16\) \(9.167\) \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{3}+\beta _{14}q^{5}+(-\beta _{5}+\beta _{8})q^{7}+\cdots\)
1148.2.i.e \(30\) \(9.167\) None None \(0\) \(1\) \(-3\) \(3\)
1148.2.k.a \(8\) \(9.167\) 8.0.110166016.2 None None \(0\) \(-4\) \(0\) \(0\) \(q+(-1-\beta _{5})q^{3}+(-1+\beta _{1}-\beta _{2}+\beta _{3}+\cdots)q^{5}+\cdots\)
1148.2.k.b \(36\) \(9.167\) None None \(0\) \(0\) \(0\) \(0\)
1148.2.n.a \(8\) \(9.167\) 8.0.64000000.2 None None \(0\) \(-4\) \(-2\) \(-2\) \(q+(-\beta _{3}+\beta _{4}+\beta _{6}-\beta _{7})q^{3}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
1148.2.n.b \(8\) \(9.167\) 8.0.64000000.2 None None \(0\) \(8\) \(-2\) \(-2\) \(q+(1+\beta _{5})q^{3}+(\beta _{2}+\beta _{7})q^{5}+\beta _{4}q^{7}+\cdots\)
1148.2.n.c \(16\) \(9.167\) \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(-2\) \(-13\) \(4\) \(q+(-\beta _{1}-\beta _{2}+\beta _{5}-\beta _{6})q^{3}+(-1+\cdots)q^{5}+\cdots\)
1148.2.n.d \(24\) \(9.167\) None None \(0\) \(-10\) \(4\) \(-6\)
1148.2.n.e \(24\) \(9.167\) None None \(0\) \(12\) \(17\) \(6\)
1148.2.r.a \(56\) \(9.167\) None None \(0\) \(0\) \(4\) \(0\)
1148.2.ba.a \(80\) \(9.167\) None None \(0\) \(0\) \(-4\) \(0\)
1148.3.b.a \(52\) \(31.281\) None None \(0\) \(0\) \(0\) \(-20\)
1148.3.g.a \(56\) \(31.281\) None None \(0\) \(0\) \(0\) \(0\)
1148.4.a.a \(15\) \(67.734\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None None \(0\) \(-14\) \(-24\) \(105\) \(-\) \(q+(-1+\beta _{1})q^{3}+(-2-\beta _{3})q^{5}+7q^{7}+\cdots\)
1148.4.a.b \(15\) \(67.734\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None None \(0\) \(0\) \(6\) \(-105\) \(-\) \(q+\beta _{1}q^{3}-\beta _{4}q^{5}-7q^{7}+(6+\beta _{2})q^{9}+\cdots\)
1148.4.a.c \(15\) \(67.734\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None None \(0\) \(10\) \(6\) \(105\) \(+\) \(q+(1-\beta _{1})q^{3}+\beta _{3}q^{5}+7q^{7}+(11-\beta _{1}+\cdots)q^{9}+\cdots\)
1148.4.a.d \(15\) \(67.734\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None None \(0\) \(12\) \(-4\) \(-105\) \(+\) \(q+(1-\beta _{1})q^{3}+\beta _{4}q^{5}-7q^{7}+(6-\beta _{1}+\cdots)q^{9}+\cdots\)
1148.4.d.a \(64\) \(67.734\) None None \(0\) \(0\) \(20\) \(0\)
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