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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 68 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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	3	5	7	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8085.2.a.a	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$0$	$-2$	$-1$	$-1$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}-q^{3}+2q^{4}-q^{5}+2q^{6}+q^{9}+\cdots$
8085.2.a.b	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$1$	$-2$	$-1$	$-1$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}-q^{3}+2q^{4}-q^{5}+2q^{6}+q^{9}+\cdots$
8085.2.a.c	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$0$	$-2$	$-1$	$1$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}-q^{3}+2q^{4}+q^{5}+2q^{6}+q^{9}+\cdots$
8085.2.a.d	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$1$	$-2$	$1$	$-1$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+q^{3}+2q^{4}-q^{5}-2q^{6}+q^{9}+\cdots$
8085.2.a.e	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$1$	$-2$	$1$	$1$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+q^{3}+2q^{4}+q^{5}-2q^{6}+q^{9}+\cdots$
8085.2.a.f	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$-1$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}-q^{4}-q^{5}+q^{6}+3q^{8}+\cdots$
8085.2.a.g	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-1$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}-q^{4}-q^{5}-q^{6}+3q^{8}+\cdots$
8085.2.a.h	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$1$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}-q^{4}+q^{5}-q^{6}+3q^{8}+\cdots$
8085.2.a.i	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$-1$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{4}-q^{5}+q^{9}-q^{11}+2q^{12}+\cdots$
8085.2.a.j	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$-1$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{4}-q^{5}+q^{9}-q^{11}+2q^{12}+\cdots$
8085.2.a.k	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$-1$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{4}-q^{5}+q^{9}-q^{11}+2q^{12}+\cdots$
8085.2.a.l	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$-1$	$0$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{4}-q^{5}+q^{9}+q^{11}+2q^{12}+\cdots$
8085.2.a.m	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$1$	$0$	$-1$	$1$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{4}+q^{5}+q^{9}-q^{11}+2q^{12}+\cdots$
8085.2.a.n	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}+q^{5}+q^{9}-q^{11}-2q^{12}+\cdots$
8085.2.a.o	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}+q^{5}+q^{9}-q^{11}-2q^{12}+\cdots$
8085.2.a.p	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}+q^{5}+q^{9}+q^{11}-2q^{12}+\cdots$
8085.2.a.q	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$1$	$0$	$1$	$1$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{4}+q^{5}+q^{9}+q^{11}-2q^{12}+\cdots$
8085.2.a.r	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$-1$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}-q^{5}-q^{6}-3q^{8}+\cdots$
8085.2.a.s	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$-1$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}-q^{5}-q^{6}-3q^{8}+\cdots$
8085.2.a.t	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$1$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}-3q^{8}+\cdots$
8085.2.a.u	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-1$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}-3q^{8}+\cdots$
8085.2.a.v	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$1$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}-3q^{8}+\cdots$
8085.2.a.w	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$1$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}-q^{4}+q^{5}+q^{6}-3q^{8}+\cdots$
8085.2.a.x	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$0$	$2$	$-1$	$-1$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}-q^{3}+2q^{4}-q^{5}-2q^{6}+q^{9}+\cdots$
8085.2.a.y	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$1$	$2$	$1$	$1$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+q^{3}+2q^{4}+q^{5}+2q^{6}+q^{9}+\cdots$
8085.2.a.z	$8085$	$2$	8085.a	1.a	$1$	$1$	$1$	$64.559$	$\Q$	None	✓	$1$	$0$	$2$	$1$	$1$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+q^{3}+2q^{4}+q^{5}+2q^{6}+q^{9}+\cdots$
8085.2.a.ba	$8085$	$2$	8085.a	1.a	$1$	$2$	$2$	$64.559$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$-2$	$2$	$2$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}+q^{3}+(1-2\beta )q^{4}+q^{5}+\cdots$
8085.2.a.bb	$8085$	$2$	8085.a	1.a	$1$	$2$	$2$	$64.559$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$-1$	$2$	$-2$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+q^{3}+(2+\beta )q^{4}-q^{5}-\beta q^{6}+\cdots$
8085.2.a.bc	$8085$	$2$	8085.a	1.a	$1$	$2$	$2$	$64.559$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$-2$	$-2$	$0$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}-q^{3}-q^{5}-\beta q^{6}-2\beta q^{8}+\cdots$
8085.2.a.bd	$8085$	$2$	8085.a	1.a	$1$	$2$	$2$	$64.559$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$-2$	$2$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}-q^{3}+q^{4}+q^{5}-\beta q^{6}-\beta q^{8}+\cdots$
8085.2.a.be	$8085$	$2$	8085.a	1.a	$1$	$2$	$2$	$64.559$	$\Q(\sqrt{6}) $	None	✓	$1$	$0$	$0$	$-2$	$-2$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}-q^{3}+4q^{4}-q^{5}-\beta q^{6}+2\beta q^{8}+\cdots$
8085.2.a.bf	$8085$	$2$	8085.a	1.a	$1$	$2$	$2$	$64.559$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$2$	$2$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+q^{3}+q^{5}+\beta q^{6}-2\beta q^{8}+\cdots$
8085.2.a.bg	$8085$	$2$	8085.a	1.a	$1$	$2$	$2$	$64.559$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$2$	$2$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+q^{3}+q^{5}+\beta q^{6}-2\beta q^{8}+\cdots$
8085.2.a.bh	$8085$	$2$	8085.a	1.a	$1$	$2$	$2$	$64.559$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$2$	$2$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+q^{3}+(2+2\beta )q^{4}+q^{5}+\cdots$
8085.2.a.bi	$8085$	$2$	8085.a	1.a	$1$	$3$	$3$	$64.559$	3.3.148.1	None	✓	$1$	$1$	$-2$	$-3$	$-3$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}-q^{3}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots$
8085.2.a.bj	$8085$	$2$	8085.a	1.a	$1$	$3$	$3$	$64.559$	3.3.148.1	None	✓	$1$	$1$	$-2$	$3$	$3$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}+q^{3}+(1-\beta _{1}+\beta _{2})q^{4}+\cdots$
8085.2.a.bk	$8085$	$2$	8085.a	1.a	$1$	$3$	$3$	$64.559$	3.3.148.1	None	✓	$1$	$1$	$-1$	$-3$	$-3$	$0$	$+$	$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}-q^{5}+\cdots$
8085.2.a.bl	$8085$	$2$	8085.a	1.a	$1$	$3$	$3$	$64.559$	3.3.316.1	None	✓	$1$	$1$	$1$	$-3$	$-3$	$0$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots$
8085.2.a.bm	$8085$	$2$	8085.a	1.a	$1$	$3$	$3$	$64.559$	3.3.316.1	None	✓	$1$	$1$	$1$	$3$	$-3$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots$
8085.2.a.bn	$8085$	$2$	8085.a	1.a	$1$	$4$	$4$	$64.559$	4.4.13448.1	None	✓	$1$	$1$	$0$	$-4$	$4$	$0$	$+$	$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$
8085.2.a.bo	$8085$	$2$	8085.a	1.a	$1$	$4$	$4$	$64.559$	4.4.34196.1	None	✓	$1$	$0$	$1$	$-4$	$-4$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-\beta _{1}-\beta _{2})q^{2}-q^{3}+(2-\beta _{2})q^{4}+\cdots$
8085.2.a.bp	$8085$	$2$	8085.a	1.a	$1$	$4$	$4$	$64.559$	4.4.34196.1	None	✓	$1$	$0$	$1$	$4$	$4$	$0$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-\beta _{1}-\beta _{2})q^{2}+q^{3}+(2-\beta _{2})q^{4}+\cdots$
8085.2.a.bq	$8085$	$2$	8085.a	1.a	$1$	$4$	$4$	$64.559$	4.4.7232.1	None	✓	$1$	$0$	$2$	$4$	$-4$	$0$	$-$	$+$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{2}+q^{3}+(1-\beta _{2}-\beta _{3})q^{4}-q^{5}+\cdots$
8085.2.a.br	$8085$	$2$	8085.a	1.a	$1$	$5$	$5$	$64.559$	5.5.833376.1	None	✓	$1$	$0$	$0$	$-5$	$5$	$0$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$
8085.2.a.bs	$8085$	$2$	8085.a	1.a	$1$	$5$	$5$	$64.559$	5.5.833376.1	None	✓	$1$	$1$	$0$	$-5$	$5$	$0$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$
8085.2.a.bt	$8085$	$2$	8085.a	1.a	$1$	$5$	$5$	$64.559$	5.5.833376.1	None	✓	$1$	$1$	$0$	$5$	$-5$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots$
8085.2.a.bu	$8085$	$2$	8085.a	1.a	$1$	$5$	$5$	$64.559$	5.5.833376.1	None	✓	$1$	$1$	$0$	$5$	$-5$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots$
8085.2.a.bv	$8085$	$2$	8085.a	1.a	$1$	$5$	$5$	$64.559$	5.5.352076.1	None	✓	$1$	$0$	$1$	$-5$	$5$	$0$	$+$	$-$	$-$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$
8085.2.a.bw	$8085$	$2$	8085.a	1.a	$1$	$6$	$6$	$64.559$	6.6.2803712.1	None	✓	$1$	$1$	$0$	$-6$	$6$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}-q^{3}+\beta _{2}q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$
8085.2.a.bx	$8085$	$2$	8085.a	1.a	$1$	$6$	$6$	$64.559$	6.6.127775712.1	None	✓	$1$	$0$	$0$	$-6$	$6$	$0$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$

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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.