## Results (1-50 of 145 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
2268.1.h.a $$8$$ $$1.132$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}+\zeta_{24}^{6}q^{7}-\zeta_{24}^{3}q^{8}+\cdots$$
2268.1.m.a $$2$$ $$1.132$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q+\zeta_{6}^{2}q^{7}-\zeta_{6}^{2}q^{13}+\zeta_{6}q^{19}+q^{25}+\cdots$$
2268.1.m.b $$2$$ $$1.132$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q+q^{7}+\zeta_{6}^{2}q^{13}+\zeta_{6}q^{19}+q^{25}+\cdots$$
2268.1.p.a $$2$$ $$1.132$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-q^{7}+(1+\zeta_{6})q^{19}+q^{25}+(1+\zeta_{6}+\cdots)q^{31}+\cdots$$
2268.1.p.b $$2$$ $$1.132$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q+\zeta_{6}q^{7}+(1-\zeta_{6}^{2})q^{13}+(-1-\zeta_{6}+\cdots)q^{19}+\cdots$$
2268.1.s.a $$2$$ $$1.132$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-21})$$ None $$-1$$ $$0$$ $$-1$$ $$1$$ $$q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}+\zeta_{6}q^{7}+\cdots$$
2268.1.s.b $$2$$ $$1.132$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-21})$$ None $$-1$$ $$0$$ $$1$$ $$-1$$ $$q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{7}+\cdots$$
2268.1.s.c $$2$$ $$1.132$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-21})$$ None $$1$$ $$0$$ $$-1$$ $$-1$$ $$q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}-\zeta_{6}q^{7}+\cdots$$
2268.1.s.d $$2$$ $$1.132$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-21})$$ None $$1$$ $$0$$ $$1$$ $$1$$ $$q+\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{5}+\zeta_{6}q^{7}+\cdots$$
2268.1.s.e $$8$$ $$1.132$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{9}q^{2}-\zeta_{24}^{6}q^{4}-\zeta_{24}^{2}q^{7}+\cdots$$
2268.1.s.f $$8$$ $$1.132$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}+\zeta_{24}^{2}q^{7}+\cdots$$
2268.1.s.g $$8$$ $$1.132$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{5}q^{2}+\zeta_{24}^{10}q^{4}-\zeta_{24}^{2}q^{7}+\cdots$$
2268.1.bc.a $$2$$ $$1.132$$ $$\Q(\sqrt{-3})$$ None $$\Q(\sqrt{21})$$ $$0$$ $$0$$ $$-3$$ $$1$$ $$q+(-1+\zeta_{6}^{2})q^{5}-\zeta_{6}^{2}q^{7}+(-\zeta_{6}+\cdots)q^{17}+\cdots$$
2268.1.bc.b $$2$$ $$1.132$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-q^{7}+(1-\zeta_{6}^{2})q^{13}+(-\zeta_{6}-\zeta_{6}^{2}+\cdots)q^{19}+\cdots$$
2268.1.bc.c $$2$$ $$1.132$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q+\zeta_{6}q^{7}+(-1+\zeta_{6}^{2})q^{13}+(\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{19}+\cdots$$
2268.1.bc.d $$2$$ $$1.132$$ $$\Q(\sqrt{-3})$$ None $$\Q(\sqrt{21})$$ $$0$$ $$0$$ $$3$$ $$1$$ $$q+(1-\zeta_{6}^{2})q^{5}-\zeta_{6}^{2}q^{7}+(\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{17}+\cdots$$
2268.1.bd.a $$2$$ $$1.132$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-q^{7}+(-1+\zeta_{6}^{2})q^{13}+(-1+\zeta_{6}^{2}+\cdots)q^{19}+\cdots$$
2268.1.bd.b $$2$$ $$1.132$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$q+\zeta_{6}q^{7}+(1-\zeta_{6}^{2})q^{19}-\zeta_{6}q^{25}+\cdots$$
2268.1.bh.a $$2$$ $$1.132$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q+\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{13}-\zeta_{6}^{2}q^{19}+\zeta_{6}^{2}q^{25}+\cdots$$
2268.1.bh.b $$2$$ $$1.132$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q+q^{7}-\zeta_{6}^{2}q^{13}-\zeta_{6}^{2}q^{19}+\zeta_{6}^{2}q^{25}+\cdots$$
2268.2.a.a $$1$$ $$18.110$$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$-1$$ $$-$$ $$q-2q^{5}-q^{7}-q^{11}+2q^{17}+2q^{19}+\cdots$$
2268.2.a.b $$1$$ $$18.110$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$1$$ $$+$$ $$q+q^{7}-3q^{11}-4q^{13}+6q^{17}-4q^{19}+\cdots$$
2268.2.a.c $$1$$ $$18.110$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$1$$ $$+$$ $$q+q^{7}+3q^{11}-4q^{13}-6q^{17}-4q^{19}+\cdots$$
2268.2.a.d $$1$$ $$18.110$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$-1$$ $$-$$ $$q+2q^{5}-q^{7}+q^{11}-2q^{17}+2q^{19}+\cdots$$
2268.2.a.e $$2$$ $$18.110$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$-$$ $$q+2\beta q^{5}+q^{7}+\beta q^{11}-4q^{13}+2\beta q^{17}+\cdots$$
2268.2.a.f $$2$$ $$18.110$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$-$$ $$q+\beta q^{5}+q^{7}+2\beta q^{11}+5q^{13}+\beta q^{17}+\cdots$$
2268.2.a.g $$3$$ $$18.110$$ 3.3.321.1 None None $$0$$ $$0$$ $$-3$$ $$3$$ $$+$$ $$q+(-1+\beta _{1})q^{5}+q^{7}+(-2-\beta _{1})q^{11}+\cdots$$
2268.2.a.h $$3$$ $$18.110$$ 3.3.321.1 None None $$0$$ $$0$$ $$-1$$ $$-3$$ $$+$$ $$q-\beta _{1}q^{5}-q^{7}+(-1-\beta _{1}-2\beta _{2})q^{11}+\cdots$$
2268.2.a.i $$3$$ $$18.110$$ 3.3.321.1 None None $$0$$ $$0$$ $$1$$ $$-3$$ $$-$$ $$q+\beta _{1}q^{5}-q^{7}+(1+\beta _{1}+2\beta _{2})q^{11}+\cdots$$
2268.2.a.j $$3$$ $$18.110$$ 3.3.321.1 None None $$0$$ $$0$$ $$3$$ $$3$$ $$-$$ $$q+(1-\beta _{1})q^{5}+q^{7}+(2+\beta _{1})q^{11}-q^{13}+\cdots$$
2268.2.a.k $$4$$ $$18.110$$ $$\Q(\sqrt{3}, \sqrt{19})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$+$$ $$q+\beta _{1}q^{5}-q^{7}+(-\beta _{1}-\beta _{2})q^{11}+(-2+\cdots)q^{13}+\cdots$$
2268.2.f.a $$16$$ $$18.110$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q-\beta _{3}q^{5}+\beta _{10}q^{7}-\beta _{4}q^{11}+\beta _{13}q^{13}+\cdots$$
2268.2.f.b $$16$$ $$18.110$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$q+\beta _{15}q^{5}+\beta _{9}q^{7}+\beta _{1}q^{11}+\beta _{7}q^{13}+\cdots$$
2268.2.i.a $$2$$ $$18.110$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-3$$ $$-1$$ $$q+(-3+3\zeta_{6})q^{5}+(1-3\zeta_{6})q^{7}+3\zeta_{6}q^{11}+\cdots$$
2268.2.i.b $$2$$ $$18.110$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-2$$ $$4$$ $$q+(-2+2\zeta_{6})q^{5}+(1+2\zeta_{6})q^{7}+2\zeta_{6}q^{11}+\cdots$$
2268.2.i.c $$2$$ $$18.110$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+(-3+2\zeta_{6})q^{7}-5\zeta_{6}q^{13}+\zeta_{6}q^{19}+\cdots$$
2268.2.i.d $$2$$ $$18.110$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q+(-2+3\zeta_{6})q^{7}-2\zeta_{6}q^{13}+\zeta_{6}q^{19}+\cdots$$
2268.2.i.e $$2$$ $$18.110$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q+(1-3\zeta_{6})q^{7}+7\zeta_{6}q^{13}-8\zeta_{6}q^{19}+\cdots$$
2268.2.i.f $$2$$ $$18.110$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$5$$ $$q+(3-\zeta_{6})q^{7}-5\zeta_{6}q^{13}-8\zeta_{6}q^{19}+\cdots$$
2268.2.i.g $$2$$ $$18.110$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$2$$ $$4$$ $$q+(2-2\zeta_{6})q^{5}+(1+2\zeta_{6})q^{7}-2\zeta_{6}q^{11}+\cdots$$
2268.2.i.h $$2$$ $$18.110$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$3$$ $$-1$$ $$q+(3-3\zeta_{6})q^{5}+(1-3\zeta_{6})q^{7}-3\zeta_{6}q^{11}+\cdots$$
2268.2.i.i $$4$$ $$18.110$$ $$\Q(\sqrt{-3}, \sqrt{10})$$ None None $$0$$ $$0$$ $$0$$ $$-10$$ $$q+\beta _{1}q^{5}+(-2+\beta _{2})q^{7}+(-2\beta _{1}-2\beta _{3})q^{11}+\cdots$$
2268.2.i.j $$6$$ $$18.110$$ 6.0.309123.1 None None $$0$$ $$0$$ $$-1$$ $$2$$ $$q+(\beta _{1}+\beta _{2}+\beta _{4}-\beta _{5})q^{5}+(1+\beta _{3}+\cdots)q^{7}+\cdots$$
2268.2.i.k $$6$$ $$18.110$$ 6.0.309123.1 None None $$0$$ $$0$$ $$1$$ $$2$$ $$q+(-\beta _{1}-\beta _{2}-\beta _{4}+\beta _{5})q^{5}+(1+\beta _{3}+\cdots)q^{7}+\cdots$$
2268.2.i.l $$8$$ $$18.110$$ 8.0.310217769.2 None None $$0$$ $$0$$ $$-2$$ $$1$$ $$q+(\beta _{1}+\beta _{2})q^{5}+\beta _{5}q^{7}+(1-\beta _{1}+\beta _{2}+\cdots)q^{11}+\cdots$$
2268.2.i.m $$8$$ $$18.110$$ 8.0.310217769.2 None None $$0$$ $$0$$ $$2$$ $$1$$ $$q+(-\beta _{1}-\beta _{2})q^{5}+\beta _{5}q^{7}+(-1+\beta _{1}+\cdots)q^{11}+\cdots$$
2268.2.i.n $$16$$ $$18.110$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-6$$ $$q-\beta _{13}q^{5}+\beta _{3}q^{7}-\beta _{12}q^{11}+(2-2\beta _{4}+\cdots)q^{13}+\cdots$$
2268.2.j.a $$2$$ $$18.110$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-4$$ $$1$$ $$q-4\zeta_{6}q^{5}+(1-\zeta_{6})q^{7}+(-2+2\zeta_{6})q^{11}+\cdots$$
2268.2.j.b $$2$$ $$18.110$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-3$$ $$-1$$ $$q-3\zeta_{6}q^{5}+(-1+\zeta_{6})q^{7}+(-3+3\zeta_{6})q^{11}+\cdots$$
2268.2.j.c $$2$$ $$18.110$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-3$$ $$-1$$ $$q-3\zeta_{6}q^{5}+(-1+\zeta_{6})q^{7}-2\zeta_{6}q^{13}+\cdots$$