## Results (1-50 of 53 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
2415.1.p.a $$2$$ $$1.205$$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-2415})$$ None $$-1$$ $$-2$$ $$-2$$ $$2$$ $$q+(-1+\beta )q^{2}-q^{3}+(1-\beta )q^{4}-q^{5}+\cdots$$
2415.1.p.b $$2$$ $$1.205$$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-2415})$$ None $$-1$$ $$-2$$ $$2$$ $$-2$$ $$q+(-1+\beta )q^{2}-q^{3}+(1-\beta )q^{4}+q^{5}+\cdots$$
2415.1.p.c $$2$$ $$1.205$$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-2415})$$ None $$-1$$ $$2$$ $$-2$$ $$-2$$ $$q+(-1+\beta )q^{2}+q^{3}+(1-\beta )q^{4}-q^{5}+\cdots$$
2415.1.p.d $$2$$ $$1.205$$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-2415})$$ None $$-1$$ $$2$$ $$2$$ $$2$$ $$q-\beta q^{2}+q^{3}+\beta q^{4}+q^{5}-\beta q^{6}+q^{7}+\cdots$$
2415.1.p.e $$2$$ $$1.205$$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-2415})$$ None $$1$$ $$-2$$ $$-2$$ $$-2$$ $$q+\beta q^{2}-q^{3}+\beta q^{4}-q^{5}-\beta q^{6}-q^{7}+\cdots$$
2415.1.p.f $$2$$ $$1.205$$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-2415})$$ None $$1$$ $$-2$$ $$2$$ $$2$$ $$q+(1-\beta )q^{2}-q^{3}+(1-\beta )q^{4}+q^{5}+\cdots$$
2415.1.p.g $$2$$ $$1.205$$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-2415})$$ None $$1$$ $$2$$ $$-2$$ $$2$$ $$q+(1-\beta )q^{2}+q^{3}+(1-\beta )q^{4}-q^{5}+\cdots$$
2415.1.p.h $$2$$ $$1.205$$ $$\Q(\sqrt{5})$$ $$\Q(\sqrt{-2415})$$ None $$1$$ $$2$$ $$2$$ $$-2$$ $$q+\beta q^{2}+q^{3}+\beta q^{4}+q^{5}+\beta q^{6}-q^{7}+\cdots$$
2415.1.bq.a $$8$$ $$1.205$$ $$\Q(\zeta_{24})$$ None None $$-4$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{24}^{4}-\zeta_{24}^{10})q^{2}-\zeta_{24}^{2}q^{3}+\cdots$$
2415.1.bq.b $$8$$ $$1.205$$ $$\Q(\zeta_{24})$$ None None $$4$$ $$-4$$ $$0$$ $$0$$ $$q+(\zeta_{24}^{4}+\zeta_{24}^{10})q^{2}+\zeta_{24}^{8}q^{3}-\zeta_{24}^{2}q^{4}+\cdots$$
2415.2.a.a $$1$$ $$19.284$$ $$\Q$$ None None $$-1$$ $$-1$$ $$-1$$ $$-1$$ $$+$$ $$q-q^{2}-q^{3}-q^{4}-q^{5}+q^{6}-q^{7}+\cdots$$
2415.2.a.b $$1$$ $$19.284$$ $$\Q$$ None None $$-1$$ $$1$$ $$-1$$ $$1$$ $$-$$ $$q-q^{2}+q^{3}-q^{4}-q^{5}-q^{6}+q^{7}+\cdots$$
2415.2.a.c $$1$$ $$19.284$$ $$\Q$$ None None $$-1$$ $$1$$ $$1$$ $$-1$$ $$+$$ $$q-q^{2}+q^{3}-q^{4}+q^{5}-q^{6}-q^{7}+\cdots$$
2415.2.a.d $$1$$ $$19.284$$ $$\Q$$ None None $$-1$$ $$1$$ $$1$$ $$1$$ $$+$$ $$q-q^{2}+q^{3}-q^{4}+q^{5}-q^{6}+q^{7}+\cdots$$
2415.2.a.e $$1$$ $$19.284$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$1$$ $$+$$ $$q-q^{3}-2q^{4}-q^{5}+q^{7}+q^{9}-3q^{11}+\cdots$$
2415.2.a.f $$1$$ $$19.284$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$-1$$ $$+$$ $$q+q^{3}-2q^{4}-q^{5}-q^{7}+q^{9}+q^{11}+\cdots$$
2415.2.a.g $$1$$ $$19.284$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$1$$ $$+$$ $$q+q^{3}-2q^{4}-q^{5}+q^{7}+q^{9}+3q^{11}+\cdots$$
2415.2.a.h $$1$$ $$19.284$$ $$\Q$$ None None $$1$$ $$1$$ $$-1$$ $$1$$ $$-$$ $$q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}+q^{7}+\cdots$$
2415.2.a.i $$1$$ $$19.284$$ $$\Q$$ None None $$1$$ $$1$$ $$1$$ $$-1$$ $$+$$ $$q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}-q^{7}+\cdots$$
2415.2.a.j $$2$$ $$19.284$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$2$$ $$-2$$ $$-2$$ $$+$$ $$q+\beta q^{2}+q^{3}+q^{4}-q^{5}+\beta q^{6}-q^{7}+\cdots$$
2415.2.a.k $$2$$ $$19.284$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$2$$ $$-2$$ $$2$$ $$+$$ $$q+\beta q^{2}+q^{3}+q^{4}-q^{5}+\beta q^{6}+q^{7}+\cdots$$
2415.2.a.l $$3$$ $$19.284$$ 3.3.148.1 None None $$-3$$ $$-3$$ $$-3$$ $$3$$ $$+$$ $$q+(-1-\beta _{2})q^{2}-q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots$$
2415.2.a.m $$3$$ $$19.284$$ 3.3.148.1 None None $$-1$$ $$-3$$ $$3$$ $$3$$ $$+$$ $$q-\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots$$
2415.2.a.n $$3$$ $$19.284$$ 3.3.148.1 None None $$1$$ $$-3$$ $$3$$ $$-3$$ $$+$$ $$q+\beta _{1}q^{2}-q^{3}+(\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots$$
2415.2.a.o $$5$$ $$19.284$$ 5.5.2508628.1 None None $$0$$ $$-5$$ $$-5$$ $$-5$$ $$+$$ $$q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$$
2415.2.a.p $$6$$ $$19.284$$ 6.6.42978136.1 None None $$1$$ $$-6$$ $$-6$$ $$-6$$ $$-$$ $$q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots$$
2415.2.a.q $$6$$ $$19.284$$ 6.6.15751800.1 None None $$3$$ $$-6$$ $$-6$$ $$6$$ $$-$$ $$q+\beta _{2}q^{2}-q^{3}+(\beta _{2}+\beta _{5})q^{4}-q^{5}+\cdots$$
2415.2.a.r $$7$$ $$19.284$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$-2$$ $$7$$ $$-7$$ $$-7$$ $$-$$ $$q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots$$
2415.2.a.s $$7$$ $$19.284$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$-1$$ $$-7$$ $$7$$ $$-7$$ $$-$$ $$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$$
2415.2.a.t $$7$$ $$19.284$$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$2$$ $$7$$ $$-7$$ $$7$$ $$-$$ $$q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$$
2415.2.a.u $$9$$ $$19.284$$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None None $$1$$ $$-9$$ $$9$$ $$9$$ $$-$$ $$q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$$
2415.2.a.v $$10$$ $$19.284$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$2$$ $$10$$ $$10$$ $$-10$$ $$-$$ $$q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$$
2415.2.a.w $$10$$ $$19.284$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$2$$ $$10$$ $$10$$ $$10$$ $$-$$ $$q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$$
2415.4.a.a $$1$$ $$142.490$$ $$\Q$$ None None $$0$$ $$3$$ $$-5$$ $$7$$ $$-$$ $$q+3q^{3}-8q^{4}-5q^{5}+7q^{7}+9q^{9}+\cdots$$
2415.4.a.b $$1$$ $$142.490$$ $$\Q$$ None None $$1$$ $$-3$$ $$-5$$ $$-7$$ $$-$$ $$q+q^{2}-3q^{3}-7q^{4}-5q^{5}-3q^{6}+\cdots$$
2415.4.a.c $$1$$ $$142.490$$ $$\Q$$ None None $$1$$ $$-3$$ $$-5$$ $$-7$$ $$+$$ $$q+q^{2}-3q^{3}-7q^{4}-5q^{5}-3q^{6}+\cdots$$
2415.4.a.d $$1$$ $$142.490$$ $$\Q$$ None None $$1$$ $$-3$$ $$5$$ $$7$$ $$-$$ $$q+q^{2}-3q^{3}-7q^{4}+5q^{5}-3q^{6}+\cdots$$
2415.4.a.e $$12$$ $$142.490$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$-4$$ $$36$$ $$60$$ $$-84$$ $$-$$ $$q-\beta _{1}q^{2}+3q^{3}+(2+\beta _{1}+\beta _{2})q^{4}+\cdots$$
2415.4.a.f $$12$$ $$142.490$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$-4$$ $$36$$ $$60$$ $$84$$ $$-$$ $$q-\beta _{1}q^{2}+3q^{3}+(2+\beta _{1}+\beta _{2})q^{4}+\cdots$$
2415.4.a.g $$12$$ $$142.490$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$-4$$ $$36$$ $$-60$$ $$84$$ $$-$$ $$q-\beta _{1}q^{2}+3q^{3}+(3+\beta _{2})q^{4}-5q^{5}+\cdots$$
2415.4.a.h $$12$$ $$142.490$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$-3$$ $$-36$$ $$60$$ $$84$$ $$-$$ $$q-\beta _{1}q^{2}-3q^{3}+(4+\beta _{2})q^{4}+5q^{5}+\cdots$$
2415.4.a.i $$15$$ $$142.490$$ $$\mathbb{Q}[x]/(x^{15} - \cdots)$$ None None $$-3$$ $$-45$$ $$-75$$ $$-105$$ $$-$$ $$q-\beta _{1}q^{2}-3q^{3}+(5+\beta _{2})q^{4}-5q^{5}+\cdots$$
2415.4.a.j $$15$$ $$142.490$$ $$\mathbb{Q}[x]/(x^{15} - \cdots)$$ None None $$1$$ $$-45$$ $$-75$$ $$-105$$ $$+$$ $$q+\beta _{1}q^{2}-3q^{3}+(4+\beta _{2})q^{4}-5q^{5}+\cdots$$
2415.4.a.k $$15$$ $$142.490$$ $$\mathbb{Q}[x]/(x^{15} - \cdots)$$ None None $$2$$ $$-45$$ $$75$$ $$-105$$ $$-$$ $$q+\beta _{1}q^{2}-3q^{3}+(4+\beta _{2})q^{4}+5q^{5}+\cdots$$
2415.4.a.l $$15$$ $$142.490$$ $$\mathbb{Q}[x]/(x^{15} - \cdots)$$ None None $$4$$ $$45$$ $$-75$$ $$-105$$ $$-$$ $$q+\beta _{1}q^{2}+3q^{3}+(4+\beta _{2})q^{4}-5q^{5}+\cdots$$
2415.4.a.m $$16$$ $$142.490$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$-6$$ $$-48$$ $$-80$$ $$112$$ $$-$$ $$q-\beta _{1}q^{2}-3q^{3}+(4+\beta _{2})q^{4}-5q^{5}+\cdots$$
2415.4.a.n $$18$$ $$142.490$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None None $$6$$ $$-54$$ $$-90$$ $$126$$ $$+$$ $$q+\beta _{1}q^{2}-3q^{3}+(4+\beta _{2})q^{4}-5q^{5}+\cdots$$
2415.4.a.o $$19$$ $$142.490$$ $$\mathbb{Q}[x]/(x^{19} - \cdots)$$ None None $$-2$$ $$-57$$ $$95$$ $$-133$$ $$+$$ $$q-\beta _{1}q^{2}-3q^{3}+(4+\beta _{2})q^{4}+5q^{5}+\cdots$$
2415.4.a.p $$19$$ $$142.490$$ $$\mathbb{Q}[x]/(x^{19} - \cdots)$$ None None $$0$$ $$57$$ $$-95$$ $$-133$$ $$+$$ $$q+\beta _{1}q^{2}+3q^{3}+(5+\beta _{2})q^{4}-5q^{5}+\cdots$$
2415.4.a.q $$19$$ $$142.490$$ $$\mathbb{Q}[x]/(x^{19} - \cdots)$$ None None $$0$$ $$57$$ $$-95$$ $$133$$ $$+$$ $$q-\beta _{1}q^{2}+3q^{3}+(5+\beta _{2})q^{4}-5q^{5}+\cdots$$