## Results (1-50 of 66 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
2300.1.f.a $$2$$ $$1.148$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-115})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{7}-q^{9}-iq^{17}-iq^{23}+q^{29}+\cdots$$
2300.1.k.a $$4$$ $$1.148$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-5})$$, $$\Q(\sqrt{-23})$$ $$\Q(\sqrt{115})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{2}+\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{4}+2q^{6}+\cdots$$
2300.1.k.b $$8$$ $$1.148$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-23})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}q^{2}-\zeta_{24}^{3}q^{3}+\zeta_{24}^{2}q^{4}+\zeta_{24}^{4}q^{6}+\cdots$$
2300.1.k.c $$24$$ $$1.148$$ $$\Q(\zeta_{72})$$ $$\Q(\sqrt{-23})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{72}^{19}q^{2}+(\zeta_{72}^{25}-\zeta_{72}^{29})q^{3}+\cdots$$
2300.1.bf.a $$20$$ $$1.148$$ $$\Q(\zeta_{44})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{44}^{7}q^{2}+(-\zeta_{44}^{5}+\zeta_{44}^{19})q^{3}+\cdots$$
2300.1.bh.a $$40$$ $$1.148$$ $$\Q(\zeta_{88})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{88}q^{2}+(-\zeta_{88}^{7}-\zeta_{88}^{31})q^{3}+\cdots$$
2300.2.a.a $$1$$ $$18.366$$ $$\Q$$ None None $$0$$ $$-3$$ $$0$$ $$-2$$ $$+$$ $$q-3q^{3}-2q^{7}+6q^{9}+3q^{13}-4q^{17}+\cdots$$
2300.2.a.b $$1$$ $$18.366$$ $$\Q$$ None None $$0$$ $$-2$$ $$0$$ $$-1$$ $$+$$ $$q-2q^{3}-q^{7}+q^{9}-3q^{11}+5q^{13}+\cdots$$
2300.2.a.c $$1$$ $$18.366$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-2$$ $$+$$ $$q-q^{3}-2q^{7}-2q^{9}+q^{13}+6q^{17}+\cdots$$
2300.2.a.d $$1$$ $$18.366$$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$4$$ $$-$$ $$q-q^{3}+4q^{7}-2q^{9}-6q^{11}+q^{13}+\cdots$$
2300.2.a.e $$1$$ $$18.366$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$1$$ $$+$$ $$q+q^{7}-3q^{9}+6q^{11}-6q^{13}-7q^{17}+\cdots$$
2300.2.a.f $$1$$ $$18.366$$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$2$$ $$+$$ $$q+q^{3}+2q^{7}-2q^{9}-4q^{11}-q^{13}+\cdots$$
2300.2.a.g $$1$$ $$18.366$$ $$\Q$$ None None $$0$$ $$2$$ $$0$$ $$1$$ $$+$$ $$q+2q^{3}+q^{7}+q^{9}-3q^{11}-5q^{13}+\cdots$$
2300.2.a.h $$1$$ $$18.366$$ $$\Q$$ None None $$0$$ $$3$$ $$0$$ $$4$$ $$-$$ $$q+3q^{3}+4q^{7}+6q^{9}+2q^{11}+5q^{13}+\cdots$$
2300.2.a.i $$2$$ $$18.366$$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-1$$ $$0$$ $$-1$$ $$-$$ $$q-\beta q^{3}+(-1+\beta )q^{7}+(1+\beta )q^{9}+2q^{11}+\cdots$$
2300.2.a.j $$3$$ $$18.366$$ 3.3.321.1 None None $$0$$ $$-2$$ $$0$$ $$-2$$ $$+$$ $$q+(-1+\beta _{1})q^{3}-2\beta _{1}q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots$$
2300.2.a.k $$3$$ $$18.366$$ 3.3.321.1 None None $$0$$ $$2$$ $$0$$ $$2$$ $$+$$ $$q+(1-\beta _{1})q^{3}+2\beta _{1}q^{7}+(1-\beta _{1}+\beta _{2})q^{9}+\cdots$$
2300.2.a.l $$4$$ $$18.366$$ 4.4.53121.1 None None $$0$$ $$0$$ $$0$$ $$-1$$ $$-$$ $$q-\beta _{1}q^{3}+(-\beta _{1}+\beta _{3})q^{7}+(1+\beta _{2}+\cdots)q^{9}+\cdots$$
2300.2.a.m $$4$$ $$18.366$$ 4.4.53121.1 None None $$0$$ $$0$$ $$0$$ $$1$$ $$-$$ $$q+\beta _{1}q^{3}+(\beta _{1}-\beta _{3})q^{7}+(1+\beta _{2})q^{9}+\cdots$$
2300.2.a.n $$6$$ $$18.366$$ 6.6.143376304.1 None None $$0$$ $$-4$$ $$0$$ $$-9$$ $$+$$ $$q+(-1-\beta _{2})q^{3}+(-2+\beta _{3})q^{7}+(2+\cdots)q^{9}+\cdots$$
2300.2.a.o $$6$$ $$18.366$$ 6.6.143376304.1 None None $$0$$ $$4$$ $$0$$ $$9$$ $$-$$ $$q+(1+\beta _{2})q^{3}+(2-\beta _{3})q^{7}+(2+\beta _{1}+\cdots)q^{9}+\cdots$$
2300.2.c.a $$2$$ $$18.366$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+3iq^{3}-2iq^{7}-6q^{9}-3iq^{13}+\cdots$$
2300.2.c.b $$2$$ $$18.366$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+3iq^{3}-4iq^{7}-6q^{9}+2q^{11}+5iq^{13}+\cdots$$
2300.2.c.c $$2$$ $$18.366$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{3}-iq^{7}-q^{9}-3q^{11}-5iq^{13}+\cdots$$
2300.2.c.d $$2$$ $$18.366$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}+4iq^{7}+2q^{9}-6q^{11}-iq^{13}+\cdots$$
2300.2.c.e $$2$$ $$18.366$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-2iq^{7}+2q^{9}-4q^{11}-iq^{13}+\cdots$$
2300.2.c.f $$2$$ $$18.366$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-2iq^{7}+2q^{9}-iq^{13}+6iq^{17}+\cdots$$
2300.2.c.g $$2$$ $$18.366$$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{7}+3q^{9}+6q^{11}+6iq^{13}-7iq^{17}+\cdots$$
2300.2.c.h $$4$$ $$18.366$$ $$\Q(i, \sqrt{17})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+(\beta _{1}+\beta _{2})q^{7}+(-2+\beta _{3})q^{9}+\cdots$$
2300.2.c.i $$6$$ $$18.366$$ 6.0.6594624.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}-\beta _{4})q^{3}+2\beta _{1}q^{7}+(-1+\beta _{2}+\cdots)q^{9}+\cdots$$
2300.2.c.j $$8$$ $$18.366$$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+(-\beta _{1}-\beta _{5})q^{7}+(-1+\beta _{2}+\cdots)q^{9}+\cdots$$
2300.2.i.a $$8$$ $$18.366$$ 8.0.$$\cdots$$.122 $$\Q(\sqrt{-115})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{7}-3\beta _{2}q^{9}+(\beta _{1}-2\beta _{5})q^{17}+\cdots$$
2300.2.i.b $$8$$ $$18.366$$ 8.0.157351936.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{3}-\beta _{5}q^{7}+4\beta _{3}q^{9}-\beta _{1}q^{11}+\cdots$$
2300.2.i.c $$8$$ $$18.366$$ 8.0.$$\cdots$$.3 None None $$0$$ $$8$$ $$0$$ $$0$$ $$q+(1+\beta _{3})q^{3}+\beta _{2}q^{7}-\beta _{3}q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots$$
2300.2.i.d $$16$$ $$18.366$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+\beta _{5}q^{3}+(\beta _{10}-\beta _{12}-\beta _{15})q^{7}+(\beta _{3}+\cdots)q^{9}+\cdots$$
2300.2.i.e $$16$$ $$18.366$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+(\beta _{1}+\beta _{5}-\beta _{9})q^{7}+(\beta _{6}-\beta _{7}+\cdots)q^{9}+\cdots$$
2300.2.i.f $$16$$ $$18.366$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+(-\beta _{1}-\beta _{5}+\beta _{9})q^{7}+(\beta _{6}+\cdots)q^{9}+\cdots$$
2300.3.d.a $$8$$ $$62.670$$ 8.0.$$\cdots$$.3 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{3}+(-\beta _{1}-\beta _{5})q^{7}+(-2+\beta _{2}+\cdots)q^{9}+\cdots$$
2300.3.d.b $$32$$ $$62.670$$ None None $$0$$ $$0$$ $$0$$ $$0$$
2300.3.d.c $$32$$ $$62.670$$ None None $$0$$ $$0$$ $$0$$ $$0$$
2300.3.f.a $$4$$ $$62.670$$ 4.0.53792.1 None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-\beta _{3}q^{3}+(-\beta _{1}-\beta _{2})q^{7}+(1+\beta _{3})q^{9}+\cdots$$
2300.3.f.b $$4$$ $$62.670$$ $$\Q(i, \sqrt{345})$$ $$\Q(\sqrt{-115})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}-4\beta _{2})q^{7}-9q^{9}+(-3\beta _{1}+4\beta _{2}+\cdots)q^{17}+\cdots$$
2300.3.f.c $$16$$ $$62.670$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{3}+\beta _{1}q^{7}+(4+\beta _{3})q^{9}-\beta _{8}q^{11}+\cdots$$
2300.3.f.d $$16$$ $$62.670$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{3}+\beta _{1}q^{7}+(4+\beta _{3})q^{9}+\beta _{8}q^{11}+\cdots$$
2300.3.f.e $$16$$ $$62.670$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{3}+\beta _{7}q^{7}+(4-\beta _{1})q^{9}+(\beta _{4}+\cdots)q^{11}+\cdots$$
2300.3.f.f $$20$$ $$62.670$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{5}q^{3}-\beta _{16}q^{7}+(4+\beta _{2})q^{9}-\beta _{12}q^{11}+\cdots$$
2300.4.a.a $$3$$ $$135.704$$ 3.3.28669.1 None None $$0$$ $$-8$$ $$0$$ $$-42$$ $$-$$ $$q+(-3-\beta _{2})q^{3}+(-14+\beta _{1})q^{7}+(28+\cdots)q^{9}+\cdots$$
2300.4.a.b $$3$$ $$135.704$$ 3.3.1229.1 None None $$0$$ $$4$$ $$0$$ $$46$$ $$+$$ $$q+(1+\beta _{2})q^{3}+(18-5\beta _{1}-3\beta _{2})q^{7}+\cdots$$
2300.4.a.c $$5$$ $$135.704$$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None None $$0$$ $$3$$ $$0$$ $$-8$$ $$+$$ $$q+(1-\beta _{1})q^{3}+(-2+\beta _{2}+\beta _{3})q^{7}+\cdots$$
2300.4.a.d $$5$$ $$135.704$$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None None $$0$$ $$7$$ $$0$$ $$20$$ $$-$$ $$q+(1+\beta _{3})q^{3}+(5+\beta _{1}+2\beta _{2}-\beta _{3}+\cdots)q^{7}+\cdots$$