## Results (1-50 of 75 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1476.1.h.a $$1$$ $$0.737$$ $$\Q$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-41})$$ $$\Q(\sqrt{41})$$ $$-1$$ $$0$$ $$2$$ $$0$$ $$q-q^{2}+q^{4}+2q^{5}-q^{8}-2q^{10}+q^{16}+\cdots$$
1476.1.h.b $$2$$ $$0.737$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-41})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}-\beta q^{7}+q^{8}+\beta q^{11}-\beta q^{14}+\cdots$$
1476.1.j.a $$2$$ $$0.737$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-q^{4}-iq^{8}+(1+i)q^{13}+q^{16}+\cdots$$
1476.1.j.b $$2$$ $$0.737$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-q^{4}+iq^{8}+(1+i)q^{13}+q^{16}+\cdots$$
1476.1.l.a $$4$$ $$0.737$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{8}-\zeta_{8}^{3})q^{5}+\zeta_{8}^{3}q^{11}+\zeta_{8}q^{17}+\cdots$$
1476.1.o.a $$2$$ $$0.737$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-41})$$ None $$-1$$ $$-2$$ $$1$$ $$-1$$ $$q+\zeta_{6}^{2}q^{2}-q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}-\zeta_{6}^{2}q^{6}+\cdots$$
1476.1.o.b $$2$$ $$0.737$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-41})$$ None $$-1$$ $$2$$ $$1$$ $$1$$ $$q+\zeta_{6}^{2}q^{2}+q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\zeta_{6}^{2}q^{6}+\cdots$$
1476.1.o.c $$4$$ $$0.737$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-41})$$ None $$-2$$ $$0$$ $$-2$$ $$0$$ $$q-\zeta_{12}^{2}q^{2}-\zeta_{12}^{3}q^{3}+\zeta_{12}^{4}q^{4}+\cdots$$
1476.1.o.d $$8$$ $$0.737$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-41})$$ None $$4$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{4}q^{2}+\zeta_{24}^{9}q^{3}+\zeta_{24}^{8}q^{4}+\cdots$$
1476.1.w.a $$4$$ $$0.737$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+(-1-\zeta_{8}^{2})q^{5}+\cdots$$
1476.1.w.b $$4$$ $$0.737$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+(1+\zeta_{8}^{2})q^{5}+\cdots$$
1476.1.z.a $$4$$ $$0.737$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-1})$$ None $$1$$ $$0$$ $$-2$$ $$0$$ $$q+\zeta_{10}^{3}q^{2}-\zeta_{10}q^{4}+(-\zeta_{10}^{3}+\zeta_{10}^{4}+\cdots)q^{5}+\cdots$$
1476.1.ba.a $$4$$ $$0.737$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-1})$$ None $$1$$ $$0$$ $$2$$ $$0$$ $$q-\zeta_{10}^{4}q^{2}-\zeta_{10}^{3}q^{4}+(-\zeta_{10}^{2}-\zeta_{10}^{4}+\cdots)q^{5}+\cdots$$
1476.1.bo.a $$8$$ $$0.737$$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{20}^{9}q^{2}-\zeta_{20}^{8}q^{4}+(-\zeta_{20}^{2}-\zeta_{20}^{4}+\cdots)q^{5}+\cdots$$
1476.1.bo.b $$8$$ $$0.737$$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{20}^{9}q^{2}-\zeta_{20}^{8}q^{4}+(\zeta_{20}^{2}+\zeta_{20}^{4}+\cdots)q^{5}+\cdots$$
1476.1.cc.a $$16$$ $$0.737$$ $$\Q(\zeta_{40})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\zeta_{40}^{13}q^{2}-\zeta_{40}^{6}q^{4}+(\zeta_{40}^{8}+\zeta_{40}^{14}+\cdots)q^{5}+\cdots$$
1476.1.cc.b $$16$$ $$0.737$$ $$\Q(\zeta_{40})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q-\zeta_{40}^{13}q^{2}-\zeta_{40}^{6}q^{4}+(-\zeta_{40}^{8}+\cdots)q^{5}+\cdots$$
1476.2.a.a $$1$$ $$11.786$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$+$$ $$q-2q^{7}+q^{11}-2q^{13}+q^{17}-4q^{19}+\cdots$$
1476.2.a.b $$1$$ $$11.786$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$-4$$ $$-$$ $$q+2q^{5}-4q^{7}+5q^{11}+4q^{13}+5q^{17}+\cdots$$
1476.2.a.c $$2$$ $$11.786$$ $$\Q(\sqrt{3})$$ None None $$0$$ $$0$$ $$-2$$ $$2$$ $$+$$ $$q+(-1+\beta )q^{5}+(1-\beta )q^{7}+(-2-\beta )q^{11}+\cdots$$
1476.2.a.d $$2$$ $$11.786$$ $$\Q(\sqrt{6})$$ None None $$0$$ $$0$$ $$4$$ $$4$$ $$-$$ $$q+(2+\beta )q^{5}+(2-\beta )q^{7}+(1-\beta )q^{11}+\cdots$$
1476.2.a.e $$3$$ $$11.786$$ 3.3.404.1 None None $$0$$ $$0$$ $$-4$$ $$4$$ $$+$$ $$q+(-1-\beta _{2})q^{5}+(1+\beta _{1})q^{7}+(-2+\cdots)q^{11}+\cdots$$
1476.2.a.f $$3$$ $$11.786$$ 3.3.404.1 None None $$0$$ $$0$$ $$4$$ $$4$$ $$-$$ $$q+(1+\beta _{2})q^{5}+(1+\beta _{1})q^{7}+(2+2\beta _{1}+\cdots)q^{11}+\cdots$$
1476.2.a.g $$4$$ $$11.786$$ 4.4.25808.1 None None $$0$$ $$0$$ $$-4$$ $$0$$ $$-$$ $$q+(-2+\beta _{2}-\beta _{3})q^{5}+(-1+\beta _{1}+\beta _{2}+\cdots)q^{7}+\cdots$$
1476.2.c.a $$80$$ $$11.786$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1476.2.d.a $$4$$ $$11.786$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{2}q^{2}-2q^{4}-\zeta_{8}^{2}q^{5}+2\zeta_{8}^{2}q^{8}+\cdots$$
1476.2.d.b $$8$$ $$11.786$$ 8.0.$$\cdots$$.5 None None $$-4$$ $$0$$ $$0$$ $$0$$ $$q+(-1+\beta _{4})q^{2}+(-1-\beta _{4})q^{4}-2\beta _{6}q^{5}+\cdots$$
1476.2.d.c $$8$$ $$11.786$$ 8.0.$$\cdots$$.5 None None $$4$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{4}q^{2}+(-2+\beta _{4})q^{4}-2\beta _{6}q^{5}+\cdots$$
1476.2.d.d $$64$$ $$11.786$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1476.2.f.a $$2$$ $$11.786$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-8$$ $$0$$ $$q-4q^{5}-4iq^{7}-3iq^{11}-4iq^{13}+\cdots$$
1476.2.f.b $$2$$ $$11.786$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$8$$ $$0$$ $$q+4q^{5}-4iq^{7}+3iq^{11}-4iq^{13}+\cdots$$
1476.2.f.c $$4$$ $$11.786$$ $$\Q(i, \sqrt{41})$$ $$\Q(\sqrt{-123})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{11}+(\beta _{1}-2\beta _{2})q^{17}-5q^{25}+\cdots$$
1476.2.f.d $$4$$ $$11.786$$ 4.0.25088.1 None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+(1-\beta _{2})q^{5}+\beta _{3}q^{7}+(2\beta _{1}+\beta _{3})q^{11}+\cdots$$
1476.2.f.e $$6$$ $$11.786$$ 6.0.5089536.1 None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+(-1-\beta _{1})q^{5}+(-\beta _{2}+\beta _{5})q^{7}+(\beta _{2}+\cdots)q^{11}+\cdots$$
1476.2.i.a $$2$$ $$11.786$$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-1$$ $$-5$$ $$q+(-1+2\zeta_{6})q^{3}-\zeta_{6}q^{5}+(-5+5\zeta_{6})q^{7}+\cdots$$
1476.2.i.b $$32$$ $$11.786$$ None None $$0$$ $$-1$$ $$1$$ $$-1$$
1476.2.i.c $$46$$ $$11.786$$ None None $$0$$ $$-1$$ $$2$$ $$4$$
1476.2.k.a $$6$$ $$11.786$$ 6.0.5089536.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{4}-\beta _{5})q^{5}+(\beta _{1}+\beta _{2}-\beta _{5})q^{7}+\cdots$$
1476.2.k.b $$12$$ $$11.786$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{6}q^{5}+(-\beta _{1}-\beta _{3}-\beta _{10})q^{7}+\beta _{11}q^{11}+\cdots$$
1476.2.k.c $$16$$ $$11.786$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{5}-\beta _{9}q^{7}+(\beta _{3}-\beta _{4}-\beta _{7}-\beta _{10}+\cdots)q^{11}+\cdots$$
1476.2.n.a $$4$$ $$11.786$$ $$\Q(\zeta_{10})$$ None None $$0$$ $$0$$ $$-7$$ $$9$$ $$q+(-3+3\zeta_{10}+2\zeta_{10}^{3})q^{5}+(3+3\zeta_{10}^{2}+\cdots)q^{7}+\cdots$$
1476.2.n.b $$4$$ $$11.786$$ $$\Q(\zeta_{10})$$ None None $$0$$ $$0$$ $$-5$$ $$-3$$ $$q+(-1+\zeta_{10}-2\zeta_{10}^{3})q^{5}+(-1-\zeta_{10}^{2}+\cdots)q^{7}+\cdots$$
1476.2.n.c $$4$$ $$11.786$$ $$\Q(\zeta_{10})$$ None None $$0$$ $$0$$ $$-1$$ $$-3$$ $$q+(-1+\zeta_{10}+2\zeta_{10}^{3})q^{5}+(-1-\zeta_{10}^{2}+\cdots)q^{7}+\cdots$$
1476.2.n.d $$4$$ $$11.786$$ $$\Q(\zeta_{10})$$ None None $$0$$ $$0$$ $$7$$ $$4$$ $$q+(2-2\zeta_{10}+\zeta_{10}^{3})q^{5}+(2-2\zeta_{10}+\cdots)q^{7}+\cdots$$
1476.2.n.e $$8$$ $$11.786$$ 8.0.2127515625.1 None None $$0$$ $$0$$ $$2$$ $$-7$$ $$q-\beta _{4}q^{5}+(-2+\beta _{1}+2\beta _{2}-\beta _{3})q^{7}+\cdots$$
1476.2.n.f $$16$$ $$11.786$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+(1+\beta _{3}+\beta _{4}-\beta _{6}-\beta _{9})q^{5}+(-1+\cdots)q^{7}+\cdots$$
1476.2.n.g $$32$$ $$11.786$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1476.2.q.a $$8$$ $$11.786$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{24}-\zeta_{24}^{5}-2\zeta_{24}^{6}+\zeta_{24}^{7})q^{3}+\cdots$$
1476.2.q.b $$76$$ $$11.786$$ None None $$0$$ $$0$$ $$4$$ $$0$$
1476.2.x.a $$28$$ $$11.786$$ None None $$0$$ $$0$$ $$-4$$ $$0$$