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Level	Weight	Analytic conductor	$Nk^2$	Dim.

Bad $p$	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Results (1-50 of 65 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				A-L signs				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	2	3	5	17	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8670.2.a.a	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
8670.2.a.b	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$-1$	$-1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
8670.2.a.c	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-1$	$2$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+2q^{7}+\cdots$
8670.2.a.d	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-1$	$2$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+2q^{7}+\cdots$
8670.2.a.e	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$1$	$-3$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-3q^{7}+\cdots$
8670.2.a.f	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$1$	$3$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+3q^{7}+\cdots$
8670.2.a.g	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$1$	$4$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+4q^{7}+\cdots$
8670.2.a.h	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$2$	$-1$	$1$	$-1$	$-3$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-3q^{7}+\cdots$
8670.2.a.i	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-1$	$3$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+3q^{7}+\cdots$
8670.2.a.j	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$1$	$-2$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-2q^{7}+\cdots$
8670.2.a.k	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$1$	$-2$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-2q^{7}+\cdots$
8670.2.a.l	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$1$	$1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
8670.2.a.m	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$1$	$1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
8670.2.a.n	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$-1$	$-2$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-2q^{7}+\cdots$
8670.2.a.o	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
8670.2.a.p	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$-1$	$-1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
8670.2.a.q	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$1$	$-3$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-3q^{7}+\cdots$
8670.2.a.r	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$1$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
8670.2.a.s	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$1$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
8670.2.a.t	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$1$	$3$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+3q^{7}+\cdots$
8670.2.a.u	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-1$	$-3$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}-3q^{7}+\cdots$
8670.2.a.v	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-1$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
8670.2.a.w	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-1$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
8670.2.a.x	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-1$	$3$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+3q^{7}+\cdots$
8670.2.a.y	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$1$	$-2$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots$
8670.2.a.z	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$1$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
8670.2.a.ba	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$1$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
8670.2.a.bb	$8670$	$2$	8670.a	1.a	$1$	$1$	$1$	$69.230$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$1$	$4$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+4q^{7}+\cdots$
8670.2.a.bc	$8670$	$2$	8670.a	1.a	$1$	$2$	$2$	$69.230$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$-2$	$-2$	$-2$	$4$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+(2+2\beta )q^{7}+\cdots$
8670.2.a.bd	$8670$	$2$	8670.a	1.a	$1$	$2$	$2$	$69.230$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$-2$	$-2$	$2$	$-4$	$+$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+(-2+\cdots)q^{7}+\cdots$
8670.2.a.be	$8670$	$2$	8670.a	1.a	$1$	$2$	$2$	$69.230$	$\Q(\sqrt{6}) $	None	✓	$1$	$0$	$-2$	$2$	$-2$	$0$	$+$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+\beta q^{7}+\cdots$
8670.2.a.bf	$8670$	$2$	8670.a	1.a	$1$	$2$	$2$	$69.230$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$-2$	$2$	$-2$	$4$	$+$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+(2+\beta )q^{7}+\cdots$
8670.2.a.bg	$8670$	$2$	8670.a	1.a	$1$	$2$	$2$	$69.230$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$-2$	$2$	$2$	$-4$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+(-2+\cdots)q^{7}+\cdots$
8670.2.a.bh	$8670$	$2$	8670.a	1.a	$1$	$2$	$2$	$69.230$	$\Q(\sqrt{13}) $	None	✓	$1$	$0$	$2$	$-2$	$-2$	$2$	$-$	$+$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+(1+\beta )q^{7}+\cdots$
8670.2.a.bi	$8670$	$2$	8670.a	1.a	$1$	$2$	$2$	$69.230$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$2$	$-2$	$2$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+2\beta q^{7}+\cdots$
8670.2.a.bj	$8670$	$2$	8670.a	1.a	$1$	$2$	$2$	$69.230$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$2$	$2$	$-2$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+2\beta q^{7}+\cdots$
8670.2.a.bk	$8670$	$2$	8670.a	1.a	$1$	$2$	$2$	$69.230$	$\Q(\sqrt{13}) $	None	✓	$1$	$0$	$2$	$2$	$2$	$-2$	$-$	$-$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+(-1+\cdots)q^{7}+\cdots$
8670.2.a.bl	$8670$	$2$	8670.a	1.a	$1$	$3$	$3$	$69.230$	$\Q(\zeta_{18})^+$	None	✓	$1$	$0$	$-3$	$-3$	$-3$	$0$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-\beta _{1}q^{7}+\cdots$
8670.2.a.bm	$8670$	$2$	8670.a	1.a	$1$	$3$	$3$	$69.230$	$\Q(\zeta_{18})^+$	None	✓	$1$	$0$	$-3$	$-3$	$3$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+\beta _{1}q^{7}+\cdots$
8670.2.a.bn	$8670$	$2$	8670.a	1.a	$1$	$3$	$3$	$69.230$	$\Q(\zeta_{18})^+$	None	✓	$1$	$1$	$-3$	$3$	$-3$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-\beta _{1}q^{7}+\cdots$
8670.2.a.bo	$8670$	$2$	8670.a	1.a	$1$	$3$	$3$	$69.230$	$\Q(\zeta_{18})^+$	None	✓	$1$	$1$	$-3$	$3$	$3$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+\beta _{1}q^{7}+\cdots$
8670.2.a.bp	$8670$	$2$	8670.a	1.a	$1$	$3$	$3$	$69.230$	$\Q(\zeta_{18})^+$	None	✓	$1$	$0$	$3$	$-3$	$-3$	$6$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+(2-\beta _{1}+\cdots)q^{7}+\cdots$
8670.2.a.bq	$8670$	$2$	8670.a	1.a	$1$	$3$	$3$	$69.230$	$\Q(\zeta_{18})^+$	None	✓	$1$	$0$	$3$	$-3$	$3$	$6$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+(2+\beta _{1}+\cdots)q^{7}+\cdots$
8670.2.a.br	$8670$	$2$	8670.a	1.a	$1$	$3$	$3$	$69.230$	$\Q(\zeta_{18})^+$	None	✓	$1$	$1$	$3$	$3$	$-3$	$-6$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+(-2+\cdots)q^{7}+\cdots$
8670.2.a.bs	$8670$	$2$	8670.a	1.a	$1$	$3$	$3$	$69.230$	$\Q(\zeta_{18})^+$	None	✓	$1$	$1$	$3$	$3$	$3$	$-6$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+(-2+\cdots)q^{7}+\cdots$
8670.2.a.bt	$8670$	$2$	8670.a	1.a	$1$	$4$	$4$	$69.230$	$\Q(\zeta_{16})^+$	None	✓	$1$	$0$	$-4$	$-4$	$4$	$0$	$+$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+\beta _{1}q^{7}+\cdots$
8670.2.a.bu	$8670$	$2$	8670.a	1.a	$1$	$4$	$4$	$69.230$	$\Q(\zeta_{16})^+$	None	✓	$1$	$1$	$-4$	$-4$	$4$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+(\beta _{1}+\beta _{3})q^{7}+\cdots$
8670.2.a.bv	$8670$	$2$	8670.a	1.a	$1$	$4$	$4$	$69.230$	$\Q(\zeta_{16})^+$	None	✓	$1$	$1$	$-4$	$4$	$-4$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+(\beta _{1}+\beta _{3})q^{7}+\cdots$
8670.2.a.bw	$8670$	$2$	8670.a	1.a	$1$	$4$	$4$	$69.230$	$\Q(\zeta_{16})^+$	None	✓	$1$	$0$	$-4$	$4$	$-4$	$0$	$+$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+\beta _{1}q^{7}+\cdots$
8670.2.a.bx	$8670$	$2$	8670.a	1.a	$1$	$4$	$4$	$69.230$	4.4.4352.1	None	✓	$1$	$0$	$4$	$-4$	$-4$	$-4$	$-$	$+$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.