## Results (1-50 of 77 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
2808.1.b.a $$1$$ $$1.401$$ $$\Q$$ $$\Q(\sqrt{-78})$$ None $$-1$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}-q^{8}-q^{13}+q^{16}+q^{19}+\cdots$$
2808.1.b.b $$1$$ $$1.401$$ $$\Q$$ $$\Q(\sqrt{-78})$$ None $$-1$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}-q^{8}+q^{13}+q^{16}-q^{19}+\cdots$$
2808.1.b.c $$1$$ $$1.401$$ $$\Q$$ $$\Q(\sqrt{-78})$$ None $$1$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}+q^{8}-q^{13}+q^{16}+q^{19}+\cdots$$
2808.1.b.d $$1$$ $$1.401$$ $$\Q$$ $$\Q(\sqrt{-78})$$ None $$1$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}+q^{8}+q^{13}+q^{16}-q^{19}+\cdots$$
2808.1.b.e $$8$$ $$1.401$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}+(\zeta_{24}^{5}+\zeta_{24}^{7}+\cdots)q^{5}+\cdots$$
2808.1.o.a $$8$$ $$1.401$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}+(-\zeta_{24}^{5}+\zeta_{24}^{7}+\cdots)q^{5}+\cdots$$
2808.1.z.a $$4$$ $$1.401$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+(-1+\zeta_{8}^{2})q^{5}+\cdots$$
2808.1.z.b $$4$$ $$1.401$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+(1-\zeta_{8}^{2})q^{5}+\zeta_{8}^{3}q^{7}+\cdots$$
2808.1.bf.a $$4$$ $$1.401$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$q+\beta _{3}q^{5}+\beta _{2}q^{7}+\beta _{1}q^{11}+(1-\beta _{2}+\cdots)q^{13}+\cdots$$
2808.1.bs.a $$6$$ $$1.401$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-26})$$ None $$-3$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{18}^{3}q^{2}+\zeta_{18}^{6}q^{4}+(-\zeta_{18}+\zeta_{18}^{2}+\cdots)q^{5}+\cdots$$
2808.1.bs.b $$6$$ $$1.401$$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-26})$$ None $$3$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{18}^{3}q^{2}+\zeta_{18}^{6}q^{4}+(\zeta_{18}^{5}+\zeta_{18}^{7}+\cdots)q^{5}+\cdots$$
2808.1.dd.a $$8$$ $$1.401$$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{5}q^{2}+\zeta_{24}^{10}q^{4}+\zeta_{24}^{3}q^{8}+\cdots$$
2808.1.dp.a $$4$$ $$1.401$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+(-\zeta_{12}^{2}-\zeta_{12}^{5})q^{5}-\zeta_{12}^{2}q^{13}+\cdots$$
2808.1.dp.b $$4$$ $$1.401$$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+(\zeta_{12}+\zeta_{12}^{4})q^{7}+(-\zeta_{12}-\zeta_{12}^{4}+\cdots)q^{11}+\cdots$$
2808.1.fi.a $$18$$ $$1.401$$ $$\Q(\zeta_{54})$$ $$\Q(\sqrt{-26})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{54}^{24}q^{2}-\zeta_{54}^{7}q^{3}-\zeta_{54}^{21}q^{4}+\cdots$$
2808.1.fi.b $$18$$ $$1.401$$ $$\Q(\zeta_{54})$$ $$\Q(\sqrt{-26})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{54}^{24}q^{2}-\zeta_{54}^{7}q^{3}-\zeta_{54}^{21}q^{4}+\cdots$$
2808.2.a.a $$1$$ $$22.422$$ $$\Q$$ None None $$0$$ $$0$$ $$-3$$ $$2$$ $$+$$ $$q-3q^{5}+2q^{7}+4q^{11}-q^{13}-6q^{17}+\cdots$$
2808.2.a.b $$1$$ $$22.422$$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$-4$$ $$-$$ $$q-2q^{5}-4q^{7}+2q^{11}-q^{13}+q^{19}+\cdots$$
2808.2.a.c $$1$$ $$22.422$$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$-3$$ $$-$$ $$q-2q^{5}-3q^{7}+q^{11}-q^{13}-4q^{17}+\cdots$$
2808.2.a.d $$1$$ $$22.422$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-2$$ $$+$$ $$q-q^{5}-2q^{7}+q^{13}+4q^{17}+2q^{19}+\cdots$$
2808.2.a.e $$1$$ $$22.422$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$2$$ $$-$$ $$q-q^{5}+2q^{7}+4q^{11}-q^{13}+6q^{17}+\cdots$$
2808.2.a.f $$1$$ $$22.422$$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$3$$ $$-$$ $$q-q^{5}+3q^{7}+3q^{11}+q^{13}+2q^{17}+\cdots$$
2808.2.a.g $$1$$ $$22.422$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-3$$ $$-$$ $$q-3q^{7}-3q^{11}-q^{13}+2q^{17}+6q^{19}+\cdots$$
2808.2.a.h $$1$$ $$22.422$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-3$$ $$+$$ $$q-3q^{7}+3q^{11}-q^{13}-2q^{17}+6q^{19}+\cdots$$
2808.2.a.i $$1$$ $$22.422$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-2$$ $$-$$ $$q+q^{5}-2q^{7}+q^{13}-4q^{17}+2q^{19}+\cdots$$
2808.2.a.j $$1$$ $$22.422$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$2$$ $$+$$ $$q+q^{5}+2q^{7}-4q^{11}-q^{13}-6q^{17}+\cdots$$
2808.2.a.k $$1$$ $$22.422$$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$3$$ $$-$$ $$q+q^{5}+3q^{7}-3q^{11}+q^{13}-2q^{17}+\cdots$$
2808.2.a.l $$1$$ $$22.422$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$-4$$ $$-$$ $$q+2q^{5}-4q^{7}-2q^{11}-q^{13}+q^{19}+\cdots$$
2808.2.a.m $$1$$ $$22.422$$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$-3$$ $$+$$ $$q+2q^{5}-3q^{7}-q^{11}-q^{13}+4q^{17}+\cdots$$
2808.2.a.n $$1$$ $$22.422$$ $$\Q$$ None None $$0$$ $$0$$ $$3$$ $$2$$ $$-$$ $$q+3q^{5}+2q^{7}-4q^{11}-q^{13}+6q^{17}+\cdots$$
2808.2.a.o $$2$$ $$22.422$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$0$$ $$-3$$ $$-4$$ $$+$$ $$q+(-1-\beta )q^{5}+(-1-2\beta )q^{7}+(2+\beta )q^{11}+\cdots$$
2808.2.a.p $$2$$ $$22.422$$ $$\Q(\sqrt{17})$$ None None $$0$$ $$0$$ $$-3$$ $$5$$ $$+$$ $$q+(-1-\beta )q^{5}+(2+\beta )q^{7}+(-4+\beta )q^{11}+\cdots$$
2808.2.a.q $$2$$ $$22.422$$ $$\Q(\sqrt{6})$$ None None $$0$$ $$0$$ $$-2$$ $$4$$ $$+$$ $$q+(-1+\beta )q^{5}+2q^{7}-2q^{11}-q^{13}+\cdots$$
2808.2.a.r $$2$$ $$22.422$$ $$\Q(\sqrt{37})$$ None None $$0$$ $$0$$ $$-1$$ $$6$$ $$-$$ $$q-\beta q^{5}+3q^{7}+(-3-\beta )q^{11}-q^{13}+\cdots$$
2808.2.a.s $$2$$ $$22.422$$ $$\Q(\sqrt{37})$$ None None $$0$$ $$0$$ $$1$$ $$6$$ $$-$$ $$q+\beta q^{5}+3q^{7}+(3+\beta )q^{11}-q^{13}+\cdots$$
2808.2.a.t $$2$$ $$22.422$$ $$\Q(\sqrt{6})$$ None None $$0$$ $$0$$ $$2$$ $$4$$ $$-$$ $$q+(1+\beta )q^{5}+2q^{7}+2q^{11}-q^{13}+\cdots$$
2808.2.a.u $$2$$ $$22.422$$ $$\Q(\sqrt{5})$$ None None $$0$$ $$0$$ $$3$$ $$-4$$ $$+$$ $$q+(1+\beta )q^{5}+(-1-2\beta )q^{7}+(-2-\beta )q^{11}+\cdots$$
2808.2.a.v $$2$$ $$22.422$$ $$\Q(\sqrt{17})$$ None None $$0$$ $$0$$ $$3$$ $$5$$ $$-$$ $$q+(1+\beta )q^{5}+(2+\beta )q^{7}+(4-\beta )q^{11}+\cdots$$
2808.2.a.w $$3$$ $$22.422$$ 3.3.2213.1 None None $$0$$ $$0$$ $$-5$$ $$0$$ $$-$$ $$q+(-2+\beta _{1})q^{5}+\beta _{2}q^{7}+(2+\beta _{1}+\beta _{2})q^{11}+\cdots$$
2808.2.a.x $$3$$ $$22.422$$ 3.3.1101.1 None None $$0$$ $$0$$ $$-2$$ $$-3$$ $$+$$ $$q+(-1+\beta _{1})q^{5}-q^{7}+(2-\beta _{1}+\beta _{2})q^{11}+\cdots$$
2808.2.a.y $$3$$ $$22.422$$ 3.3.1016.1 None None $$0$$ $$0$$ $$-2$$ $$-1$$ $$+$$ $$q+(-1+\beta _{1})q^{5}+(-\beta _{1}-\beta _{2})q^{7}+(\beta _{1}+\cdots)q^{11}+\cdots$$
2808.2.a.z $$3$$ $$22.422$$ 3.3.1101.1 None None $$0$$ $$0$$ $$2$$ $$-3$$ $$+$$ $$q+(1-\beta _{1})q^{5}-q^{7}+(-2+\beta _{1}-\beta _{2})q^{11}+\cdots$$
2808.2.a.ba $$3$$ $$22.422$$ 3.3.1016.1 None None $$0$$ $$0$$ $$2$$ $$-1$$ $$-$$ $$q+(1-\beta _{1})q^{5}+(-\beta _{1}-\beta _{2})q^{7}+(-\beta _{1}+\cdots)q^{11}+\cdots$$
2808.2.a.bb $$3$$ $$22.422$$ 3.3.2213.1 None None $$0$$ $$0$$ $$5$$ $$0$$ $$-$$ $$q+(2-\beta _{1})q^{5}+\beta _{2}q^{7}+(-2-\beta _{1}-\beta _{2})q^{11}+\cdots$$
2808.2.c.a $$2$$ $$22.422$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+3iq^{5}+4iq^{7}-4iq^{11}+(-3-2i)q^{13}+\cdots$$
2808.2.c.b $$2$$ $$22.422$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+3iq^{5}-4iq^{7}-4iq^{11}+(-3+2i)q^{13}+\cdots$$
2808.2.c.c $$4$$ $$22.422$$ $$\Q(i, \sqrt{17})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{5}+(-\beta _{1}-\beta _{2})q^{7}+(\beta _{1}+\beta _{2}+\cdots)q^{11}+\cdots$$
2808.2.c.d $$4$$ $$22.422$$ $$\Q(i, \sqrt{17})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{5}+(\beta _{1}+\beta _{2})q^{7}+(\beta _{1}+\beta _{2})q^{11}+\cdots$$
2808.2.c.e $$14$$ $$22.422$$ $$\mathbb{Q}[x]/(x^{14} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{5}-\beta _{4}q^{7}+\beta _{7}q^{11}-\beta _{13}q^{13}+\cdots$$
2808.2.c.f $$14$$ $$22.422$$ $$\mathbb{Q}[x]/(x^{14} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{5}+\beta _{4}q^{7}+\beta _{7}q^{11}-\beta _{10}q^{13}+\cdots$$