## Results (27 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
2151.1.d.a $$1$$ $$1.073$$ $$\Q$$ $$\Q(\sqrt{-239})$$ None $$1$$ $$0$$ $$1$$ $$0$$ $$q+q^{2}+q^{5}-q^{8}+q^{10}+q^{11}-q^{16}+\cdots$$
2151.1.d.b $$2$$ $$1.073$$ $$\Q(\sqrt{-2})$$ None None $$-2$$ $$0$$ $$2$$ $$0$$ $$q-q^{2}+q^{5}-\beta q^{7}+q^{8}-q^{10}+q^{11}+\cdots$$
2151.1.d.c $$2$$ $$1.073$$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-239})$$ None $$1$$ $$0$$ $$1$$ $$0$$ $$q+(1-\beta )q^{2}+(1-\beta )q^{4}+(1-\beta )q^{5}+\cdots$$
2151.1.d.d $$2$$ $$1.073$$ $$\Q(\sqrt{-2})$$ None None $$2$$ $$0$$ $$-2$$ $$0$$ $$q+q^{2}-q^{5}-\beta q^{7}-q^{8}-q^{10}-q^{11}+\cdots$$
2151.1.d.e $$4$$ $$1.073$$ $$\Q(\zeta_{15})^+$$ $$\Q(\sqrt{-239})$$ None $$-1$$ $$0$$ $$-1$$ $$0$$ $$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{1}-\beta _{3})q^{5}+\cdots$$
2151.1.f.a $$6$$ $$1.073$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-239})$$ None $$0$$ $$-3$$ $$0$$ $$0$$ $$q+(\zeta_{18}^{4}+\zeta_{18}^{8})q^{2}-\zeta_{18}^{3}q^{3}+(-\zeta_{18}^{3}+\cdots)q^{4}+\cdots$$
2151.1.f.b $$24$$ $$1.073$$ $$\Q(\zeta_{45})$$ $$\Q(\sqrt{-239})$$ None $$0$$ $$3$$ $$0$$ $$0$$ $$q+(-\zeta_{90}^{7}-\zeta_{90}^{23})q^{2}-\zeta_{90}^{3}q^{3}+\cdots$$
2151.2.a.a $$2$$ $$17.176$$ $$\Q(\sqrt{5})$$ None None $$-3$$ $$0$$ $$0$$ $$0$$ $$+$$ $$q+(-1-\beta )q^{2}+3\beta q^{4}+(-1+2\beta )q^{5}+\cdots$$
2151.2.a.b $$2$$ $$17.176$$ $$\Q(\sqrt{5})$$ None None $$-1$$ $$0$$ $$-6$$ $$2$$ $$+$$ $$q-\beta q^{2}+(-1+\beta )q^{4}-3q^{5}+(2-2\beta )q^{7}+\cdots$$
2151.2.a.c $$2$$ $$17.176$$ $$\Q(\sqrt{5})$$ None None $$-1$$ $$0$$ $$2$$ $$0$$ $$+$$ $$q-\beta q^{2}+(-1+\beta )q^{4}+q^{5}+(-1+2\beta )q^{8}+\cdots$$
2151.2.a.d $$3$$ $$17.176$$ $$\Q(\zeta_{14})^+$$ None None $$1$$ $$0$$ $$4$$ $$-3$$ $$+$$ $$q+\beta _{1}q^{2}+\beta _{2}q^{4}+(1-\beta _{2})q^{5}-q^{7}+\cdots$$
2151.2.a.e $$6$$ $$17.176$$ 6.6.1767625.1 None None $$2$$ $$0$$ $$-5$$ $$-9$$ $$+$$ $$q-\beta _{5}q^{2}+(1+\beta _{2}+\beta _{3}-\beta _{4})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$$
2151.2.a.f $$7$$ $$17.176$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$0$$ $$0$$ $$-3$$ $$3$$ $$+$$ $$q+\beta _{2}q^{2}+(1+\beta _{6})q^{4}-\beta _{6}q^{5}+(1+\beta _{1}+\cdots)q^{7}+\cdots$$
2151.2.a.g $$8$$ $$17.176$$ 8.8.2585660609.1 None None $$5$$ $$0$$ $$13$$ $$-7$$ $$-$$ $$q+(1+\beta _{2})q^{2}+(1+\beta _{2}+\beta _{3})q^{4}+(2+\cdots)q^{5}+\cdots$$
2151.2.a.h $$12$$ $$17.176$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$-3$$ $$0$$ $$1$$ $$11$$ $$-$$ $$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{9}q^{5}+(1+\beta _{8}+\cdots)q^{7}+\cdots$$
2151.2.a.i $$17$$ $$17.176$$ $$\mathbb{Q}[x]/(x^{17} - \cdots)$$ None None $$0$$ $$0$$ $$-6$$ $$5$$ $$-$$ $$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{13}q^{5}+(1+\cdots)q^{7}+\cdots$$
2151.2.a.j $$20$$ $$17.176$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$-4$$ $$0$$ $$-16$$ $$-4$$ $$+$$ $$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{9})q^{5}+\cdots$$
2151.2.a.k $$20$$ $$17.176$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$4$$ $$0$$ $$16$$ $$-4$$ $$-$$ $$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1+\beta _{9})q^{5}+\cdots$$
2151.2.b.a $$80$$ $$17.176$$ None None $$0$$ $$0$$ $$0$$ $$0$$
2151.4.a.a $$22$$ $$126.913$$ None None $$4$$ $$0$$ $$37$$ $$-52$$ $$-$$
2151.4.a.b $$28$$ $$126.913$$ None None $$5$$ $$0$$ $$-6$$ $$-68$$ $$-$$
2151.4.a.c $$28$$ $$126.913$$ None None $$13$$ $$0$$ $$74$$ $$-82$$ $$+$$
2151.4.a.d $$32$$ $$126.913$$ None None $$-11$$ $$0$$ $$-66$$ $$58$$ $$-$$
2151.4.a.e $$32$$ $$126.913$$ None None $$-3$$ $$0$$ $$14$$ $$72$$ $$+$$
2151.4.a.f $$37$$ $$126.913$$ None None $$-4$$ $$0$$ $$-43$$ $$60$$ $$+$$
2151.4.a.g $$59$$ $$126.913$$ None None $$-8$$ $$0$$ $$-80$$ $$-10$$ $$-$$
2151.4.a.h $$59$$ $$126.913$$ None None $$8$$ $$0$$ $$80$$ $$-10$$ $$+$$