## Results (1-50 of 112 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
1024.1.c.a $$2$$ $$0.511$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta q^{5}+q^{9}+\beta q^{13}+q^{25}+\beta q^{29}+\cdots$$
1024.1.d.a $$2$$ $$0.511$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta q^{5}-q^{9}-\beta q^{13}-q^{25}-\beta q^{29}+\cdots$$
1024.1.f.a $$2$$ $$0.511$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+(-1-i)q^{3}+iq^{9}+(1-i)q^{11}+\cdots$$
1024.1.f.b $$2$$ $$0.511$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{2})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{9}+q^{17}-iq^{25}+iq^{41}-q^{49}+\cdots$$
1024.1.f.c $$2$$ $$0.511$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+(1+i)q^{3}+iq^{9}+(-1+i)q^{11}+\cdots$$
1024.2.a.a $$2$$ $$8.177$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$-8$$ $$-$$ $$q+2\beta q^{3}+\beta q^{5}-4q^{7}+5q^{9}+2\beta q^{11}+\cdots$$
1024.2.a.b $$2$$ $$8.177$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$+$$ $$q+\beta q^{3}-\beta q^{5}-2q^{7}-q^{9}-\beta q^{11}+\cdots$$
1024.2.a.c $$2$$ $$8.177$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$q+\beta q^{5}-3q^{9}-5\beta q^{13}-8q^{17}-3q^{25}+\cdots$$
1024.2.a.d $$2$$ $$8.177$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q+3\beta q^{5}-3q^{9}+\beta q^{13}+8q^{17}+13q^{25}+\cdots$$
1024.2.a.e $$2$$ $$8.177$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$-$$ $$q+\beta q^{3}+\beta q^{5}+2q^{7}-q^{9}-\beta q^{11}+\cdots$$
1024.2.a.f $$2$$ $$8.177$$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$8$$ $$-$$ $$q+2\beta q^{3}-\beta q^{5}+4q^{7}+5q^{9}+2\beta q^{11}+\cdots$$
1024.2.a.g $$4$$ $$8.177$$ $$\Q(\zeta_{24})^+$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$+$$ $$q+(-1+\beta _{1})q^{3}-\beta _{3}q^{5}+(\beta _{2}+\beta _{3})q^{7}+\cdots$$
1024.2.a.h $$4$$ $$8.177$$ $$\Q(\zeta_{16})^+$$ None None $$0$$ $$0$$ $$-8$$ $$0$$ $$+$$ $$q+\beta _{1}q^{3}+(-2-\beta _{2})q^{5}+(-\beta _{1}+\beta _{3})q^{7}+\cdots$$
1024.2.a.i $$4$$ $$8.177$$ $$\Q(\zeta_{16})^+$$ None None $$0$$ $$0$$ $$8$$ $$0$$ $$-$$ $$q+\beta _{1}q^{3}+(2+\beta _{2})q^{5}+(\beta _{1}-\beta _{3})q^{7}+\cdots$$
1024.2.a.j $$4$$ $$8.177$$ $$\Q(\zeta_{24})^+$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$-$$ $$q+(1-\beta _{1})q^{3}+\beta _{3}q^{5}+(\beta _{2}+\beta _{3})q^{7}+\cdots$$
1024.2.b.a $$2$$ $$8.177$$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$-8$$ $$q+2\beta q^{3}+\beta q^{5}-4q^{7}-5q^{9}-2\beta q^{11}+\cdots$$
1024.2.b.b $$2$$ $$8.177$$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\beta q^{3}-\beta q^{5}-2q^{7}+q^{9}+\beta q^{11}+\cdots$$
1024.2.b.c $$2$$ $$8.177$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta q^{5}+3q^{9}-5\beta q^{13}-8q^{17}+3q^{25}+\cdots$$
1024.2.b.d $$2$$ $$8.177$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-3\beta q^{5}+3q^{9}+\beta q^{13}+8q^{17}-13q^{25}+\cdots$$
1024.2.b.e $$2$$ $$8.177$$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $$q+\beta q^{3}+\beta q^{5}+2q^{7}+q^{9}+\beta q^{11}+\cdots$$
1024.2.b.f $$2$$ $$8.177$$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$8$$ $$q+2\beta q^{3}-\beta q^{5}+4q^{7}-5q^{9}-2\beta q^{11}+\cdots$$
1024.2.b.g $$8$$ $$8.177$$ $$\Q(\zeta_{16})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{16}^{2}q^{3}+\zeta_{16}q^{5}-\zeta_{16}^{3}q^{7}+(-1+\cdots)q^{9}+\cdots$$
1024.2.b.h $$8$$ $$8.177$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}q^{3}+\zeta_{24}^{5}q^{5}+\zeta_{24}^{4}q^{7}+(-1+\cdots)q^{9}+\cdots$$
1024.2.e.a $$2$$ $$8.177$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+(-2+2i)q^{3}-5iq^{9}+(2+2i)q^{11}+\cdots$$
1024.2.e.b $$2$$ $$8.177$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$-4$$ $$0$$ $$q+(-1+i)q^{3}+(-2-2i)q^{5}-4iq^{7}+\cdots$$
1024.2.e.c $$2$$ $$8.177$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$4$$ $$0$$ $$q+(-1+i)q^{3}+(2+2i)q^{5}+4iq^{7}+\cdots$$
1024.2.e.d $$2$$ $$8.177$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$2$$ $$-4$$ $$0$$ $$q+(1-i)q^{3}+(-2-2i)q^{5}+4iq^{7}+\cdots$$
1024.2.e.e $$2$$ $$8.177$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$2$$ $$4$$ $$0$$ $$q+(1-i)q^{3}+(2+2i)q^{5}-4iq^{7}+iq^{9}+\cdots$$
1024.2.e.f $$2$$ $$8.177$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $$q+(2-2i)q^{3}-5iq^{9}+(-2-2i)q^{11}+\cdots$$
1024.2.e.g $$4$$ $$8.177$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+(-1+\zeta_{8}-\zeta_{8}^{2})q^{3}+(-2\zeta_{8}+3\zeta_{8}^{2}+\cdots)q^{9}+\cdots$$
1024.2.e.h $$4$$ $$8.177$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+(-1+\zeta_{8}^{2})q^{3}-\zeta_{8}q^{5}+(-\zeta_{8}-\zeta_{8}^{3})q^{7}+\cdots$$
1024.2.e.i $$4$$ $$8.177$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{3}+\zeta_{8}^{3}q^{5}+4\zeta_{8}^{2}q^{7}+\zeta_{8}^{2}q^{9}+\cdots$$
1024.2.e.j $$4$$ $$8.177$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{5}+3\zeta_{8}^{2}q^{9}-3\zeta_{8}^{3}q^{13}-2q^{17}+\cdots$$
1024.2.e.k $$4$$ $$8.177$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{5}+3\zeta_{8}^{2}q^{9}-\zeta_{8}^{3}q^{13}+2q^{17}+\cdots$$
1024.2.e.l $$4$$ $$8.177$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{3}+\zeta_{8}^{2}q^{9}-3\zeta_{8}^{3}q^{11}+6q^{17}+\cdots$$
1024.2.e.m $$4$$ $$8.177$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{3}-\zeta_{8}^{3}q^{5}-4\zeta_{8}^{2}q^{7}+\zeta_{8}^{2}q^{9}+\cdots$$
1024.2.e.n $$4$$ $$8.177$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+(1-\zeta_{8}^{2})q^{3}-\zeta_{8}q^{5}+(\zeta_{8}+\zeta_{8}^{3})q^{7}+\cdots$$
1024.2.e.o $$4$$ $$8.177$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $$q+(1+\zeta_{8}+\zeta_{8}^{2})q^{3}+(2\zeta_{8}+3\zeta_{8}^{2}+\cdots)q^{9}+\cdots$$
1024.2.e.p $$8$$ $$8.177$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{7}q^{3}+\zeta_{24}q^{5}-\zeta_{24}^{6}q^{7}-3\zeta_{24}^{2}q^{9}+\cdots$$
1024.2.g.a $$16$$ $$8.177$$ $$\Q(\zeta_{48})$$ None None $$0$$ $$0$$ $$-8$$ $$0$$ $$q+\zeta_{48}^{15}q^{3}+(-1+\zeta_{48}^{3}-\zeta_{48}^{8}+\cdots)q^{5}+\cdots$$
1024.2.g.b $$16$$ $$8.177$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$-8$$ $$0$$ $$q+\beta _{2}q^{3}+(\beta _{3}+\beta _{10})q^{5}+(-\beta _{4}-\beta _{9}+\cdots)q^{7}+\cdots$$
1024.2.g.c $$16$$ $$8.177$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$-8$$ $$0$$ $$q+\beta _{13}q^{3}+(-1-\beta _{3}+\beta _{5}+\beta _{8})q^{5}+\cdots$$
1024.2.g.d $$16$$ $$8.177$$ $$\Q(\zeta_{48})$$ None None $$0$$ $$0$$ $$-8$$ $$0$$ $$q+(\zeta_{48}^{11}+\zeta_{48}^{14})q^{3}+(-\zeta_{48}-\zeta_{48}^{2}+\cdots)q^{5}+\cdots$$
1024.2.g.e $$16$$ $$8.177$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$8$$ $$0$$ $$q+\beta _{2}q^{3}+(-\beta _{3}-\beta _{10})q^{5}+(\beta _{4}+\beta _{9}+\cdots)q^{7}+\cdots$$
1024.2.g.f $$16$$ $$8.177$$ $$\Q(\zeta_{48})$$ None None $$0$$ $$0$$ $$8$$ $$0$$ $$q+\zeta_{48}^{15}q^{3}+(1+\zeta_{48}^{8}+\zeta_{48}^{13}+\cdots)q^{5}+\cdots$$
1024.2.g.g $$16$$ $$8.177$$ $$\Q(\zeta_{48})$$ None None $$0$$ $$0$$ $$8$$ $$0$$ $$q+(\zeta_{48}^{11}+\zeta_{48}^{14})q^{3}+(\zeta_{48}+\zeta_{48}^{2}+\cdots)q^{5}+\cdots$$
1024.2.g.h $$16$$ $$8.177$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$8$$ $$0$$ $$q+\beta _{13}q^{3}+(1+\beta _{3}-\beta _{5}-\beta _{8})q^{5}+\cdots$$
1024.3.c.a $$2$$ $$27.902$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-7\beta q^{5}+9q^{9}-17\beta q^{13}-2^{4}q^{17}+\cdots$$
1024.3.c.b $$2$$ $$27.902$$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{5}+9q^{9}+7\beta q^{13}+2^{4}q^{17}+\cdots$$
1024.3.c.c $$4$$ $$27.902$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{3}-5\beta _{1}q^{5}-\beta _{3}q^{7}-15q^{9}+\cdots$$