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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 69 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	5	7	19	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
9310.2.a.a	$9310$	$2$	9310.a	1.a	$1$	$1$	$1$	$74.341$	$\Q$	None	✓	$1$	$0$	$-1$	$-2$	$1$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-2q^{3}+q^{4}+q^{5}+2q^{6}-q^{8}+\cdots$
9310.2.a.b	$9310$	$2$	9310.a	1.a	$1$	$1$	$1$	$74.341$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-1$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots$
9310.2.a.c	$9310$	$2$	9310.a	1.a	$1$	$1$	$1$	$74.341$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-1$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots$
9310.2.a.d	$9310$	$2$	9310.a	1.a	$1$	$1$	$1$	$74.341$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$-1$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{8}+\cdots$
9310.2.a.e	$9310$	$2$	9310.a	1.a	$1$	$1$	$1$	$74.341$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$1$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
9310.2.a.f	$9310$	$2$	9310.a	1.a	$1$	$1$	$1$	$74.341$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$1$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{5}-q^{8}-3q^{9}-q^{10}+\cdots$
9310.2.a.g	$9310$	$2$	9310.a	1.a	$1$	$1$	$1$	$74.341$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$1$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots$
9310.2.a.h	$9310$	$2$	9310.a	1.a	$1$	$1$	$1$	$74.341$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$1$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots$
9310.2.a.i	$9310$	$2$	9310.a	1.a	$1$	$1$	$1$	$74.341$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$1$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots$
9310.2.a.j	$9310$	$2$	9310.a	1.a	$1$	$1$	$1$	$74.341$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$1$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots$
9310.2.a.k	$9310$	$2$	9310.a	1.a	$1$	$1$	$1$	$74.341$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$1$	$0$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots$
9310.2.a.l	$9310$	$2$	9310.a	1.a	$1$	$1$	$1$	$74.341$	$\Q$	None	✓	$1$	$1$	$-1$	$2$	$1$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+2q^{3}+q^{4}+q^{5}-2q^{6}-q^{8}+\cdots$
9310.2.a.m	$9310$	$2$	9310.a	1.a	$1$	$1$	$1$	$74.341$	$\Q$	None	✓	$1$	$0$	$-1$	$3$	$-1$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+3q^{3}+q^{4}-q^{5}-3q^{6}-q^{8}+\cdots$
9310.2.a.n	$9310$	$2$	9310.a	1.a	$1$	$1$	$1$	$74.341$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$-1$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots$
9310.2.a.o	$9310$	$2$	9310.a	1.a	$1$	$1$	$1$	$74.341$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$-1$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots$
9310.2.a.p	$9310$	$2$	9310.a	1.a	$1$	$1$	$1$	$74.341$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$1$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{8}-3q^{9}+q^{10}+\cdots$
9310.2.a.q	$9310$	$2$	9310.a	1.a	$1$	$1$	$1$	$74.341$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}+q^{8}-3q^{9}+q^{10}+\cdots$
9310.2.a.r	$9310$	$2$	9310.a	1.a	$1$	$1$	$1$	$74.341$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$1$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+q^{8}+\cdots$
9310.2.a.s	$9310$	$2$	9310.a	1.a	$1$	$1$	$1$	$74.341$	$\Q$	None	✓	$1$	$1$	$1$	$2$	$-1$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+2q^{3}+q^{4}-q^{5}+2q^{6}+q^{8}+\cdots$
9310.2.a.t	$9310$	$2$	9310.a	1.a	$1$	$1$	$1$	$74.341$	$\Q$	None	✓	$1$	$0$	$1$	$2$	$-1$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+2q^{3}+q^{4}-q^{5}+2q^{6}+q^{8}+\cdots$
9310.2.a.u	$9310$	$2$	9310.a	1.a	$1$	$1$	$1$	$74.341$	$\Q$	None	✓	$1$	$0$	$1$	$3$	$1$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+3q^{3}+q^{4}+q^{5}+3q^{6}+q^{8}+\cdots$
9310.2.a.v	$9310$	$2$	9310.a	1.a	$1$	$2$	$2$	$74.341$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$-2$	$-2$	$-2$	$0$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1+\beta )q^{3}+q^{4}-q^{5}+(1+\cdots)q^{6}+\cdots$
9310.2.a.w	$9310$	$2$	9310.a	1.a	$1$	$2$	$2$	$74.341$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$-2$	$-2$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1+\beta )q^{3}+q^{4}-q^{5}+(1+\cdots)q^{6}+\cdots$
9310.2.a.x	$9310$	$2$	9310.a	1.a	$1$	$2$	$2$	$74.341$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$-2$	$-2$	$-2$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1+\beta )q^{3}+q^{4}-q^{5}+(1+\cdots)q^{6}+\cdots$
9310.2.a.y	$9310$	$2$	9310.a	1.a	$1$	$2$	$2$	$74.341$	$\Q(\sqrt{57}) $	None	✓	$1$	$0$	$-2$	$0$	$-2$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{8}-3q^{9}+q^{10}+\cdots$
9310.2.a.z	$9310$	$2$	9310.a	1.a	$1$	$2$	$2$	$74.341$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$-2$	$0$	$2$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}+q^{4}+q^{5}-\beta q^{6}-q^{8}+\cdots$
9310.2.a.ba	$9310$	$2$	9310.a	1.a	$1$	$2$	$2$	$74.341$	$\Q(\sqrt{10}) $	None	✓	$1$	$0$	$-2$	$0$	$2$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}+q^{4}+q^{5}-\beta q^{6}-q^{8}+\cdots$
9310.2.a.bb	$9310$	$2$	9310.a	1.a	$1$	$2$	$2$	$74.341$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$-2$	$1$	$-2$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}-q^{8}+\cdots$
9310.2.a.bc	$9310$	$2$	9310.a	1.a	$1$	$2$	$2$	$74.341$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$-2$	$1$	$-2$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta q^{3}+q^{4}-q^{5}-\beta q^{6}-q^{8}+\cdots$
9310.2.a.bd	$9310$	$2$	9310.a	1.a	$1$	$2$	$2$	$74.341$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$-2$	$2$	$2$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1+\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$
9310.2.a.be	$9310$	$2$	9310.a	1.a	$1$	$2$	$2$	$74.341$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$-2$	$2$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1+\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$
9310.2.a.bf	$9310$	$2$	9310.a	1.a	$1$	$2$	$2$	$74.341$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$2$	$1$	$2$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta q^{3}+q^{4}+q^{5}+\beta q^{6}+q^{8}+\cdots$
9310.2.a.bg	$9310$	$2$	9310.a	1.a	$1$	$3$	$3$	$74.341$	3.3.321.1	None	✓	$1$	$1$	$-3$	$-2$	$-3$	$0$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1-\beta _{2})q^{3}+q^{4}-q^{5}+(1+\cdots)q^{6}+\cdots$
9310.2.a.bh	$9310$	$2$	9310.a	1.a	$1$	$3$	$3$	$74.341$	3.3.756.1	None	✓	$1$	$1$	$-3$	$0$	$-3$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$
9310.2.a.bi	$9310$	$2$	9310.a	1.a	$1$	$3$	$3$	$74.341$	3.3.756.1	None	✓	$1$	$1$	$-3$	$0$	$3$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$
9310.2.a.bj	$9310$	$2$	9310.a	1.a	$1$	$3$	$3$	$74.341$	3.3.321.1	None	✓	$1$	$0$	$-3$	$2$	$3$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1+\beta _{2})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$
9310.2.a.bk	$9310$	$2$	9310.a	1.a	$1$	$3$	$3$	$74.341$	3.3.148.1	None	✓	$1$	$1$	$3$	$-4$	$3$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1-\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$
9310.2.a.bl	$9310$	$2$	9310.a	1.a	$1$	$3$	$3$	$74.341$	3.3.940.1	None	✓	$1$	$1$	$3$	$-3$	$3$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$
9310.2.a.bm	$9310$	$2$	9310.a	1.a	$1$	$3$	$3$	$74.341$	3.3.148.1	None	✓	$1$	$1$	$3$	$4$	$-3$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(1+\beta _{1})q^{3}+q^{4}-q^{5}+(1+\beta _{1}+\cdots)q^{6}+\cdots$
9310.2.a.bn	$9310$	$2$	9310.a	1.a	$1$	$4$	$4$	$74.341$	4.4.7053.1	None	✓	$1$	$0$	$-4$	$-1$	$-4$	$0$	$+$	$+$	$+$	$-$	$-$	$3$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{2}q^{3}+q^{4}-q^{5}+\beta _{2}q^{6}+\cdots$
9310.2.a.bo	$9310$	$2$	9310.a	1.a	$1$	$4$	$4$	$74.341$	4.4.14013.1	None	✓	$1$	$0$	$-4$	$-1$	$-4$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{2}q^{3}+q^{4}-q^{5}+\beta _{2}q^{6}+\cdots$
9310.2.a.bp	$9310$	$2$	9310.a	1.a	$1$	$4$	$4$	$74.341$	4.4.37773.1	None	✓	$1$	$0$	$-4$	$-1$	$4$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$
9310.2.a.bq	$9310$	$2$	9310.a	1.a	$1$	$4$	$4$	$74.341$	4.4.37773.1	None	✓	$1$	$1$	$-4$	$1$	$-4$	$0$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots$
9310.2.a.br	$9310$	$2$	9310.a	1.a	$1$	$4$	$4$	$74.341$	4.4.7053.1	None	✓	$1$	$1$	$-4$	$1$	$4$	$0$	$+$	$-$	$-$	$+$	$+$	$3$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{2}q^{3}+q^{4}+q^{5}-\beta _{2}q^{6}+\cdots$
9310.2.a.bs	$9310$	$2$	9310.a	1.a	$1$	$4$	$4$	$74.341$	4.4.14013.1	None	✓	$1$	$1$	$-4$	$1$	$4$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{2}q^{3}+q^{4}+q^{5}-\beta _{2}q^{6}+\cdots$
9310.2.a.bt	$9310$	$2$	9310.a	1.a	$1$	$4$	$4$	$74.341$	4.4.44648.1	None	✓	$1$	$1$	$4$	$-3$	$-4$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots$
9310.2.a.bu	$9310$	$2$	9310.a	1.a	$1$	$4$	$4$	$74.341$	4.4.1957.1	None	✓	$1$	$1$	$4$	$-3$	$4$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1-\beta _{2})q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots$
9310.2.a.bv	$9310$	$2$	9310.a	1.a	$1$	$4$	$4$	$74.341$	4.4.118616.1	None	✓	$1$	$0$	$4$	$-1$	$-4$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta _{1}q^{3}+q^{4}-q^{5}-\beta _{1}q^{6}+\cdots$
9310.2.a.bw	$9310$	$2$	9310.a	1.a	$1$	$4$	$4$	$74.341$	4.4.1957.1	None	✓	$1$	$0$	$4$	$3$	$-4$	$0$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(1+\beta _{2})q^{3}+q^{4}-q^{5}+(1+\beta _{2}+\cdots)q^{6}+\cdots$
9310.2.a.bx	$9310$	$2$	9310.a	1.a	$1$	$5$	$5$	$74.341$	5.5.5073748.1	None	✓	$1$	$0$	$-5$	$-1$	$5$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{1}q^{3}+q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$

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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.