## Results (1-50 of 86 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1020.1.o.a $$4$$ $$0.509$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-51})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{3}q^{3}-\zeta_{12}q^{5}-q^{9}+(-\zeta_{12}+\cdots)q^{11}+\cdots$$
1020.1.cl.a $$16$$ $$0.509$$ $$\Q(\zeta_{32})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{32}^{11}q^{2}-\zeta_{32}^{15}q^{3}-\zeta_{32}^{6}q^{4}+\cdots$$
1020.1.cl.b $$16$$ $$0.509$$ $$\Q(\zeta_{32})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{32}^{9}q^{2}-\zeta_{32}^{15}q^{3}-\zeta_{32}^{2}q^{4}+\cdots$$
1020.2.a.a $$1$$ $$8.145$$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$-1$$ $$-$$ $$q-q^{3}-q^{5}-q^{7}+q^{9}+3q^{11}-2q^{13}+\cdots$$
1020.2.a.b $$1$$ $$8.145$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$-3$$ $$+$$ $$q-q^{3}+q^{5}-3q^{7}+q^{9}+3q^{11}-4q^{13}+\cdots$$
1020.2.a.c $$1$$ $$8.145$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$0$$ $$+$$ $$q-q^{3}+q^{5}+q^{9}-6q^{11}+2q^{13}+\cdots$$
1020.2.a.d $$1$$ $$8.145$$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$3$$ $$-$$ $$q-q^{3}+q^{5}+3q^{7}+q^{9}+q^{11}-2q^{13}+\cdots$$
1020.2.a.e $$1$$ $$8.145$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$-1$$ $$+$$ $$q+q^{3}-q^{5}-q^{7}+q^{9}-3q^{11}-4q^{13}+\cdots$$
1020.2.a.f $$1$$ $$8.145$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$0$$ $$-$$ $$q+q^{3}-q^{5}+q^{9}-2q^{11}+2q^{13}+\cdots$$
1020.2.a.g $$1$$ $$8.145$$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$5$$ $$-$$ $$q+q^{3}-q^{5}+5q^{7}+q^{9}+3q^{11}+2q^{13}+\cdots$$
1020.2.a.h $$1$$ $$8.145$$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$-5$$ $$+$$ $$q+q^{3}+q^{5}-5q^{7}+q^{9}-5q^{11}+q^{15}+\cdots$$
1020.2.a.i $$2$$ $$8.145$$ $$\Q(\sqrt{33})$$ None None $$0$$ $$-2$$ $$-2$$ $$1$$ $$+$$ $$q-q^{3}-q^{5}+\beta q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots$$
1020.2.a.j $$2$$ $$8.145$$ $$\Q(\sqrt{33})$$ None None $$0$$ $$2$$ $$2$$ $$1$$ $$-$$ $$q+q^{3}+q^{5}+\beta q^{7}+q^{9}+(2-\beta )q^{11}+\cdots$$
1020.2.e.a $$2$$ $$8.145$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{3}+iq^{5}-q^{9}+2iq^{11}-6q^{13}+\cdots$$
1020.2.e.b $$2$$ $$8.145$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{3}-iq^{5}+3iq^{7}-q^{9}-3iq^{11}+\cdots$$
1020.2.e.c $$4$$ $$8.145$$ $$\Q(i, \sqrt{33})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{3}-\beta _{2}q^{5}+\beta _{1}q^{7}-q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots$$
1020.2.e.d $$4$$ $$8.145$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{3}-\zeta_{8}q^{5}+(\zeta_{8}+\zeta_{8}^{2})q^{7}-q^{9}+\cdots$$
1020.2.g.a $$2$$ $$8.145$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+iq^{3}+(-2-i)q^{5}-q^{9}+(1-2i)q^{15}+\cdots$$
1020.2.g.b $$2$$ $$8.145$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q-iq^{3}+(1+2i)q^{5}+iq^{7}-q^{9}-5q^{11}+\cdots$$
1020.2.g.c $$2$$ $$8.145$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+iq^{3}+(1+2i)q^{5}+3iq^{7}-q^{9}+\cdots$$
1020.2.g.d $$10$$ $$8.145$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{5}q^{3}+\beta _{6}q^{5}+\beta _{9}q^{7}-q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots$$
1020.2.k.a $$2$$ $$8.145$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$-4$$ $$2$$ $$q-q^{3}+(-2-i)q^{5}+q^{7}+q^{9}+3iq^{11}+\cdots$$
1020.2.k.b $$2$$ $$8.145$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$2$$ $$4$$ $$-2$$ $$q+q^{3}+(2+i)q^{5}-q^{7}+q^{9}-3iq^{11}+\cdots$$
1020.2.k.c $$8$$ $$8.145$$ 8.0.$$\cdots$$.1 None None $$0$$ $$-8$$ $$3$$ $$-6$$ $$q-q^{3}+\beta _{5}q^{5}+(-1+\beta _{2})q^{7}+q^{9}+\cdots$$
1020.2.k.d $$8$$ $$8.145$$ 8.0.$$\cdots$$.1 None None $$0$$ $$8$$ $$-3$$ $$6$$ $$q+q^{3}-\beta _{5}q^{5}+(1-\beta _{2})q^{7}+q^{9}+\beta _{6}q^{11}+\cdots$$
1020.2.s.a $$72$$ $$8.145$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1020.2.v.a $$64$$ $$8.145$$ None None $$0$$ $$-4$$ $$0$$ $$8$$
1020.2.y.a $$40$$ $$8.145$$ None None $$0$$ $$0$$ $$4$$ $$0$$
1020.2.bd.a $$12$$ $$8.145$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\beta _{2}q^{3}-\beta _{2}q^{5}-\beta _{9}q^{7}-\beta _{3}q^{9}+\cdots$$
1020.2.bd.b $$12$$ $$8.145$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$q+\beta _{1}q^{3}+\beta _{1}q^{5}-\beta _{9}q^{7}-\beta _{3}q^{9}+\cdots$$
1020.2.bg.a $$16$$ $$8.145$$ 16.0.$$\cdots$$.1 $$\Q(\sqrt{-51})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{13}q^{3}-\beta _{12}q^{5}-3\beta _{10}q^{9}+(-\beta _{2}+\cdots)q^{11}+\cdots$$
1020.2.bg.b $$56$$ $$8.145$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1020.2.bn.a $$72$$ $$8.145$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1020.2.bp.a $$24$$ $$8.145$$ None None $$0$$ $$0$$ $$0$$ $$-8$$
1020.2.bp.b $$24$$ $$8.145$$ None None $$0$$ $$0$$ $$0$$ $$8$$
1020.2.cc.a $$64$$ $$8.145$$ None None $$0$$ $$0$$ $$-8$$ $$0$$
1020.3.c.a $$64$$ $$27.793$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1020.3.i.a $$48$$ $$27.793$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1020.3.m.a $$44$$ $$27.793$$ None None $$0$$ $$0$$ $$0$$ $$-8$$
1020.3.o.a $$8$$ $$27.793$$ 8.0.1731891456.1 $$\Q(\sqrt{-51})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-3\beta _{3}q^{3}+(-2\beta _{3}-\beta _{4})q^{5}-9q^{9}+\cdots$$
1020.3.o.b $$64$$ $$27.793$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1020.3.t.a $$72$$ $$27.793$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1020.3.u.a $$72$$ $$27.793$$ None None $$0$$ $$0$$ $$0$$ $$0$$
1020.3.bc.a $$96$$ $$27.793$$ None None $$0$$ $$-8$$ $$0$$ $$0$$
1020.3.bh.a $$64$$ $$27.793$$ None None $$0$$ $$0$$ $$0$$ $$-16$$
1020.3.bm.a $$72$$ $$27.793$$ None None $$0$$ $$0$$ $$-8$$ $$-24$$
1020.4.a.a $$1$$ $$60.182$$ $$\Q$$ None None $$0$$ $$3$$ $$-5$$ $$20$$ $$-$$ $$q+3q^{3}-5q^{5}+20q^{7}+9q^{9}-20q^{11}+\cdots$$
1020.4.a.b $$1$$ $$60.182$$ $$\Q$$ None None $$0$$ $$3$$ $$5$$ $$-8$$ $$+$$ $$q+3q^{3}+5q^{5}-8q^{7}+9q^{9}+20q^{11}+\cdots$$
1020.4.a.c $$2$$ $$60.182$$ $$\Q(\sqrt{19})$$ None None $$0$$ $$-6$$ $$-10$$ $$-24$$ $$-$$ $$q-3q^{3}-5q^{5}+(-12+\beta )q^{7}+9q^{9}+\cdots$$
1020.4.a.d $$2$$ $$60.182$$ $$\Q(\sqrt{389})$$ None None $$0$$ $$-6$$ $$-10$$ $$32$$ $$-$$ $$q-3q^{3}-5q^{5}+(2^{4}-\beta )q^{7}+9q^{9}+\cdots$$