## Results (1-50 of 91 matches)

Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
230.2.a.a $2$ $1.837$ $$\Q(\sqrt{21})$$ None $$-2$$ $$-1$$ $$-2$$ $$1$$ $-$ $$q-q^{2}-\beta q^{3}+q^{4}-q^{5}+\beta q^{6}+(1+\cdots)q^{7}+\cdots$$
230.2.a.b $2$ $1.837$ $$\Q(\sqrt{13})$$ None $$-2$$ $$3$$ $$2$$ $$3$$ $-$ $$q-q^{2}+(1+\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$$
230.2.a.c $2$ $1.837$ $$\Q(\sqrt{5})$$ None $$2$$ $$1$$ $$2$$ $$1$$ $-$ $$q+q^{2}+\beta q^{3}+q^{4}+q^{5}+\beta q^{6}+(1+\cdots)q^{7}+\cdots$$
230.2.a.d $3$ $1.837$ 3.3.1101.1 None $$3$$ $$1$$ $$-3$$ $$3$$ $-$ $$q+q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$$
230.2.b.a $4$ $1.837$ $$\Q(i, \sqrt{5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{2}+\beta _{1}q^{3}-q^{4}+(1+2\beta _{2})q^{5}+\cdots$$
230.2.b.b $8$ $1.837$ 8.0.$$\cdots$$.3 None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+(\beta _{2}-\beta _{5})q^{3}-q^{4}+(\beta _{1}-\beta _{6}+\cdots)q^{5}+\cdots$$
230.2.e.a $8$ $1.837$ 8.0.110166016.2 None $$0$$ $$-4$$ $$-4$$ $$0$$ $$q-\beta _{3}q^{2}+(-1-\beta _{2}-\beta _{6}-\beta _{7})q^{3}+\cdots$$
230.2.e.b $8$ $1.837$ 8.0.110166016.2 None $$0$$ $$-4$$ $$4$$ $$0$$ $$q-\beta _{3}q^{2}+(-1-\beta _{2}-\beta _{6}-\beta _{7})q^{3}+\cdots$$
230.2.e.c $8$ $1.837$ $$\Q(\zeta_{16})$$ None $$0$$ $$16$$ $$0$$ $$0$$ $$q+\zeta_{16}^{6}q^{2}+(2+2\zeta_{16}^{4})q^{3}-\zeta_{16}^{4}q^{4}+\cdots$$
230.2.g.a $10$ $1.837$ $$\Q(\zeta_{22})$$ None $$-1$$ $$3$$ $$-1$$ $$-15$$ $$q+\zeta_{22}^{4}q^{2}+(1-\zeta_{22}+\zeta_{22}^{2}+\zeta_{22}^{4}+\cdots)q^{3}+\cdots$$
230.2.g.b $20$ $1.837$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$2$$ $$-3$$ $$-2$$ $$19$$ $$q+\beta _{6}q^{2}+(\beta _{1}-\beta _{2}+\beta _{5}-\beta _{13}+\beta _{18}+\cdots)q^{3}+\cdots$$
230.2.g.c $20$ $1.837$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$2$$ $$1$$ $$2$$ $$-12$$ $$q+\beta _{3}q^{2}+(\beta _{5}+\beta _{18})q^{3}+\beta _{12}q^{4}+\cdots$$
230.2.g.d $30$ $1.837$ None $$-3$$ $$-1$$ $$3$$ $$8$$
230.2.j.a $120$ $1.837$ None $$0$$ $$0$$ $$0$$ $$0$$
230.2.l.a $240$ $1.837$ None $$0$$ $$-8$$ $$0$$ $$0$$
230.3.c.a $24$ $6.267$ None $$0$$ $$0$$ $$0$$ $$0$$
230.3.d.a $16$ $6.267$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{6}q^{2}-\beta _{5}q^{3}+2q^{4}+\beta _{2}q^{5}-\beta _{10}q^{6}+\cdots$$
230.3.f.a $20$ $6.267$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$-20$$ $$0$$ $$4$$ $$8$$ $$q+(-1-\beta _{8})q^{2}+\beta _{1}q^{3}+2\beta _{8}q^{4}+\cdots$$
230.3.f.b $24$ $6.267$ None $$24$$ $$0$$ $$4$$ $$8$$
230.3.h.a $160$ $6.267$ None $$0$$ $$0$$ $$0$$ $$0$$
230.3.i.a $240$ $6.267$ None $$0$$ $$0$$ $$0$$ $$0$$
230.3.k.a $240$ $6.267$ None $$-24$$ $$0$$ $$-4$$ $$-74$$
230.3.k.b $240$ $6.267$ None $$24$$ $$8$$ $$-4$$ $$50$$
230.4.a.a $1$ $13.570$ $$\Q$$ None $$-2$$ $$-5$$ $$-5$$ $$12$$ $-$ $$q-2q^{2}-5q^{3}+4q^{4}-5q^{5}+10q^{6}+\cdots$$
230.4.a.b $1$ $13.570$ $$\Q$$ None $$-2$$ $$4$$ $$-5$$ $$3$$ $-$ $$q-2q^{2}+4q^{3}+4q^{4}-5q^{5}-8q^{6}+\cdots$$
230.4.a.c $1$ $13.570$ $$\Q$$ None $$-2$$ $$7$$ $$5$$ $$20$$ $+$ $$q-2q^{2}+7q^{3}+4q^{4}+5q^{5}-14q^{6}+\cdots$$
230.4.a.d $1$ $13.570$ $$\Q$$ None $$2$$ $$-1$$ $$5$$ $$-32$$ $-$ $$q+2q^{2}-q^{3}+4q^{4}+5q^{5}-2q^{6}+\cdots$$
230.4.a.e $1$ $13.570$ $$\Q$$ None $$2$$ $$1$$ $$-5$$ $$-18$$ $-$ $$q+2q^{2}+q^{3}+4q^{4}-5q^{5}+2q^{6}+\cdots$$
230.4.a.f $2$ $13.570$ $$\Q(\sqrt{73})$$ None $$-4$$ $$-3$$ $$10$$ $$-17$$ $-$ $$q-2q^{2}+(-1-\beta )q^{3}+4q^{4}+5q^{5}+\cdots$$
230.4.a.g $3$ $13.570$ 3.3.318165.1 None $$-6$$ $$-1$$ $$15$$ $$7$$ $+$ $$q-2q^{2}-\beta _{1}q^{3}+4q^{4}+5q^{5}+2\beta _{1}q^{6}+\cdots$$
230.4.a.h $4$ $13.570$ $$\mathbb{Q}[x]/(x^{4} - \cdots)$$ None $$-8$$ $$-4$$ $$-20$$ $$-1$$ $+$ $$q-2q^{2}+(-1+\beta _{1})q^{3}+4q^{4}-5q^{5}+\cdots$$
230.4.a.i $4$ $13.570$ $$\mathbb{Q}[x]/(x^{4} - \cdots)$$ None $$8$$ $$4$$ $$-20$$ $$26$$ $+$ $$q+2q^{2}+(1-\beta _{1})q^{3}+4q^{4}-5q^{5}+\cdots$$
230.4.a.j $4$ $13.570$ $$\mathbb{Q}[x]/(x^{4} - \cdots)$$ None $$8$$ $$14$$ $$20$$ $$8$$ $+$ $$q+2q^{2}+(4-\beta _{1})q^{3}+4q^{4}+5q^{5}+\cdots$$
230.4.b.a $14$ $13.570$ $$\mathbb{Q}[x]/(x^{14} + \cdots)$$ None $$0$$ $$0$$ $$-6$$ $$0$$ $$q-2\beta _{8}q^{2}+(\beta _{1}-\beta _{8})q^{3}-4q^{4}+(-\beta _{7}+\cdots)q^{5}+\cdots$$
230.4.b.b $18$ $13.570$ $$\mathbb{Q}[x]/(x^{18} + \cdots)$$ None $$0$$ $$0$$ $$-6$$ $$0$$ $$q-2\beta _{5}q^{2}+\beta _{1}q^{3}-4q^{4}+(-\beta _{5}-\beta _{12}+\cdots)q^{5}+\cdots$$
230.4.e.a $72$ $13.570$ None $$0$$ $$-16$$ $$0$$ $$0$$
230.4.g.a $50$ $13.570$ None $$-10$$ $$-5$$ $$25$$ $$-19$$
230.4.g.b $60$ $13.570$ None $$12$$ $$-3$$ $$-30$$ $$100$$
230.4.g.c $60$ $13.570$ None $$12$$ $$5$$ $$30$$ $$-3$$
230.4.g.d $70$ $13.570$ None $$-14$$ $$3$$ $$-35$$ $$-78$$
230.4.j.a $360$ $13.570$ None $$0$$ $$0$$ $$32$$ $$0$$
230.4.l.a $720$ $13.570$ None $$0$$ $$16$$ $$0$$ $$0$$
230.5.c.a $48$ $23.775$ None $$0$$ $$0$$ $$0$$ $$0$$
230.5.d.a $32$ $23.775$ None $$0$$ $$0$$ $$0$$ $$0$$
230.5.f.a $44$ $23.775$ None $$-88$$ $$0$$ $$24$$ $$-80$$
230.5.f.b $44$ $23.775$ None $$88$$ $$0$$ $$24$$ $$-80$$
230.6.a.a $1$ $36.888$ $$\Q$$ None $$-4$$ $$8$$ $$-25$$ $$199$$ $+$ $$q-4q^{2}+8q^{3}+2^{4}q^{4}-5^{2}q^{5}-2^{5}q^{6}+\cdots$$
230.6.a.b $2$ $36.888$ $$\Q(\sqrt{2})$$ None $$-8$$ $$6$$ $$-50$$ $$-164$$ $+$ $$q-4q^{2}+(3+6\beta )q^{3}+2^{4}q^{4}-5^{2}q^{5}+\cdots$$
230.6.a.c $3$ $36.888$ 3.3.27980.1 None $$-12$$ $$-26$$ $$75$$ $$1$$ $+$ $$q-4q^{2}+(-9+\beta _{2})q^{3}+2^{4}q^{4}+5^{2}q^{5}+\cdots$$
230.6.a.d $3$ $36.888$ 3.3.27980.1 None $$12$$ $$-34$$ $$75$$ $$-121$$ $+$ $$q+4q^{2}+(-11-\beta _{2})q^{3}+2^{4}q^{4}+5^{2}q^{5}+\cdots$$