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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 62 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	23	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
8050.2.a.a	$8050$	$2$	8050.a	1.a	$1$	$1$	$1$	$64.280$	$\Q$	None	✓	$1$	$1$	$-1$	$-2$	$0$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{7}-q^{8}+\cdots$
8050.2.a.b	$8050$	$2$	8050.a	1.a	$1$	$1$	$1$	$64.280$	$\Q$	None	✓	$1$	$1$	$-1$	$-2$	$0$	$1$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-2q^{3}+q^{4}+2q^{6}+q^{7}-q^{8}+\cdots$
8050.2.a.c	$8050$	$2$	8050.a	1.a	$1$	$1$	$1$	$64.280$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$0$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{7}-q^{8}+\cdots$
8050.2.a.d	$8050$	$2$	8050.a	1.a	$1$	$1$	$1$	$64.280$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$0$	$-1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{7}-q^{8}+\cdots$
8050.2.a.e	$8050$	$2$	8050.a	1.a	$1$	$1$	$1$	$64.280$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$-1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{7}-q^{8}-3q^{9}+6q^{13}+\cdots$
8050.2.a.f	$8050$	$2$	8050.a	1.a	$1$	$1$	$1$	$64.280$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-3q^{9}-4q^{11}+\cdots$
8050.2.a.g	$8050$	$2$	8050.a	1.a	$1$	$1$	$1$	$64.280$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-3q^{9}-4q^{11}+\cdots$
8050.2.a.h	$8050$	$2$	8050.a	1.a	$1$	$1$	$1$	$64.280$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-3q^{9}-2q^{11}+\cdots$
8050.2.a.i	$8050$	$2$	8050.a	1.a	$1$	$1$	$1$	$64.280$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+q^{7}-q^{8}-3q^{9}+4q^{11}+\cdots$
8050.2.a.j	$8050$	$2$	8050.a	1.a	$1$	$1$	$1$	$64.280$	$\Q$	None	✓	$1$	$1$	$-1$	$2$	$0$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{7}-q^{8}+\cdots$
8050.2.a.k	$8050$	$2$	8050.a	1.a	$1$	$1$	$1$	$64.280$	$\Q$	None	✓	$1$	$1$	$-1$	$2$	$0$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{7}-q^{8}+\cdots$
8050.2.a.l	$8050$	$2$	8050.a	1.a	$1$	$1$	$1$	$64.280$	$\Q$	None	✓	$1$	$0$	$-1$	$2$	$0$	$-1$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{7}-q^{8}+\cdots$
8050.2.a.m	$8050$	$2$	8050.a	1.a	$1$	$1$	$1$	$64.280$	$\Q$	None	✓	$1$	$0$	$-1$	$2$	$0$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+2q^{3}+q^{4}-2q^{6}+q^{7}-q^{8}+\cdots$
8050.2.a.n	$8050$	$2$	8050.a	1.a	$1$	$1$	$1$	$64.280$	$\Q$	None	✓	$1$	$1$	$1$	$-2$	$0$	$-1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-2q^{3}+q^{4}-2q^{6}-q^{7}+q^{8}+\cdots$
8050.2.a.o	$8050$	$2$	8050.a	1.a	$1$	$1$	$1$	$64.280$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$-1$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}-3q^{9}-4q^{11}+\cdots$
8050.2.a.p	$8050$	$2$	8050.a	1.a	$1$	$1$	$1$	$64.280$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}-3q^{9}-4q^{11}+\cdots$
8050.2.a.q	$8050$	$2$	8050.a	1.a	$1$	$1$	$1$	$64.280$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-q^{7}+q^{8}-3q^{9}+4q^{11}+\cdots$
8050.2.a.r	$8050$	$2$	8050.a	1.a	$1$	$1$	$1$	$64.280$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$0$	$1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{7}+q^{8}-3q^{9}-4q^{13}+\cdots$
8050.2.a.s	$8050$	$2$	8050.a	1.a	$1$	$1$	$1$	$64.280$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$0$	$1$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots$
8050.2.a.t	$8050$	$2$	8050.a	1.a	$1$	$1$	$1$	$64.280$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$0$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots$
8050.2.a.u	$8050$	$2$	8050.a	1.a	$1$	$1$	$1$	$64.280$	$\Q$	None	✓	$1$	$1$	$1$	$2$	$0$	$-1$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+2q^{3}+q^{4}+2q^{6}-q^{7}+q^{8}+\cdots$
8050.2.a.v	$8050$	$2$	8050.a	1.a	$1$	$2$	$2$	$64.280$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$-2$	$0$	$2$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}+q^{7}-q^{8}+\cdots$
8050.2.a.w	$8050$	$2$	8050.a	1.a	$1$	$2$	$2$	$64.280$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$-2$	$-1$	$0$	$2$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta q^{3}+q^{4}+\beta q^{6}+q^{7}-q^{8}+\cdots$
8050.2.a.x	$8050$	$2$	8050.a	1.a	$1$	$2$	$2$	$64.280$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$2$	$0$	$-2$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1+\beta )q^{3}+q^{4}+(-1-\beta )q^{6}+\cdots$
8050.2.a.y	$8050$	$2$	8050.a	1.a	$1$	$2$	$2$	$64.280$	$\Q(\sqrt{21}) $	None	✓	$1$	$1$	$-2$	$4$	$0$	$2$	$+$	$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+2q^{3}+q^{4}-2q^{6}+q^{7}-q^{8}+\cdots$
8050.2.a.z	$8050$	$2$	8050.a	1.a	$1$	$2$	$2$	$64.280$	$\Q(\sqrt{21}) $	None	✓	$1$	$1$	$2$	$-4$	$0$	$-2$	$-$	$+$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-2q^{3}+q^{4}-2q^{6}-q^{7}+q^{8}+\cdots$
8050.2.a.ba	$8050$	$2$	8050.a	1.a	$1$	$2$	$2$	$64.280$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$2$	$0$	$0$	$2$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+q^{7}+q^{8}+\cdots$
8050.2.a.bb	$8050$	$2$	8050.a	1.a	$1$	$2$	$2$	$64.280$	$\Q(\sqrt{6}) $	None	✓	$1$	$0$	$2$	$0$	$0$	$2$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+q^{7}+q^{8}+\cdots$
8050.2.a.bc	$8050$	$2$	8050.a	1.a	$1$	$2$	$2$	$64.280$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$2$	$1$	$0$	$-2$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}-q^{7}+q^{8}+\cdots$
8050.2.a.bd	$8050$	$2$	8050.a	1.a	$1$	$2$	$2$	$64.280$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$2$	$2$	$0$	$-2$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}-q^{7}+q^{8}+\cdots$
8050.2.a.be	$8050$	$2$	8050.a	1.a	$1$	$2$	$2$	$64.280$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$2$	$2$	$0$	$-2$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(1+\beta )q^{3}+q^{4}+(1+\beta )q^{6}+\cdots$
8050.2.a.bf	$8050$	$2$	8050.a	1.a	$1$	$2$	$2$	$64.280$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$2$	$2$	$0$	$2$	$-$	$+$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+(1+\beta )q^{3}+q^{4}+(1+\beta )q^{6}+\cdots$
8050.2.a.bg	$8050$	$2$	8050.a	1.a	$1$	$3$	$3$	$64.280$	3.3.148.1	None	✓	$1$	$1$	$-3$	$-4$	$0$	$-3$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(-1-\beta _{1})q^{3}+q^{4}+(1+\beta _{1}+\cdots)q^{6}+\cdots$
8050.2.a.bh	$8050$	$2$	8050.a	1.a	$1$	$3$	$3$	$64.280$	3.3.316.1	None	✓	$1$	$1$	$-3$	$-2$	$0$	$3$	$+$	$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+(-1-\beta _{2})q^{3}+q^{4}+(1+\beta _{2})q^{6}+\cdots$
8050.2.a.bi	$8050$	$2$	8050.a	1.a	$1$	$3$	$3$	$64.280$	3.3.148.1	None	✓	$1$	$1$	$-3$	$2$	$0$	$-3$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+q^{4}+(-1+\cdots)q^{6}+\cdots$
8050.2.a.bj	$8050$	$2$	8050.a	1.a	$1$	$3$	$3$	$64.280$	3.3.404.1	None	✓	$1$	$1$	$-3$	$2$	$0$	$3$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+(-1+\beta _{1}+\cdots)q^{6}+\cdots$
8050.2.a.bk	$8050$	$2$	8050.a	1.a	$1$	$3$	$3$	$64.280$	3.3.564.1	None	✓	$1$	$1$	$3$	$-2$	$0$	$-3$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-1+\beta _{1}+\cdots)q^{6}+\cdots$
8050.2.a.bl	$8050$	$2$	8050.a	1.a	$1$	$3$	$3$	$64.280$	3.3.148.1	None	✓	$1$	$1$	$3$	$-2$	$0$	$3$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-1+\beta _{1}+\cdots)q^{6}+\cdots$
8050.2.a.bm	$8050$	$2$	8050.a	1.a	$1$	$3$	$3$	$64.280$	3.3.148.1	None	✓	$1$	$1$	$3$	$-2$	$0$	$3$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+q^{4}+(-1+\cdots)q^{6}+\cdots$
8050.2.a.bn	$8050$	$2$	8050.a	1.a	$1$	$3$	$3$	$64.280$	3.3.316.1	None	✓	$1$	$0$	$3$	$2$	$0$	$-3$	$-$	$+$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+(1+\beta _{2})q^{3}+q^{4}+(1+\beta _{2})q^{6}+\cdots$
8050.2.a.bo	$8050$	$2$	8050.a	1.a	$1$	$4$	$4$	$64.280$	4.4.25492.1	None	✓	$1$	$0$	$-4$	$0$	$0$	$-4$	$+$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}-q^{7}+\cdots$
8050.2.a.bp	$8050$	$2$	8050.a	1.a	$1$	$4$	$4$	$64.280$	4.4.63796.1	None	✓	$1$	$0$	$4$	$0$	$0$	$-4$	$-$	$+$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}-q^{7}+\cdots$
8050.2.a.bq	$8050$	$2$	8050.a	1.a	$1$	$4$	$4$	$64.280$	4.4.25492.1	None	✓	$1$	$0$	$4$	$0$	$0$	$4$	$-$	$+$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+q^{7}+\cdots$
8050.2.a.br	$8050$	$2$	8050.a	1.a	$1$	$5$	$5$	$64.280$	5.5.1933264.1	None	✓	$1$	$0$	$-5$	$0$	$0$	$-5$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+(\beta _{1}-\beta _{3})q^{3}+q^{4}+(-\beta _{1}+\beta _{3}+\cdots)q^{6}+\cdots$
8050.2.a.bs	$8050$	$2$	8050.a	1.a	$1$	$5$	$5$	$64.280$	5.5.3035380.1	None	✓	$1$	$0$	$-5$	$0$	$0$	$5$	$+$	$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{3}q^{3}+q^{4}-\beta _{3}q^{6}+q^{7}+\cdots$
8050.2.a.bt	$8050$	$2$	8050.a	1.a	$1$	$5$	$5$	$64.280$	5.5.126032.1	None	✓	$1$	$0$	$-5$	$2$	$0$	$-5$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-\beta _{3}q^{3}+q^{4}+\beta _{3}q^{6}-q^{7}+\cdots$
8050.2.a.bu	$8050$	$2$	8050.a	1.a	$1$	$5$	$5$	$64.280$	5.5.940784.1	None	✓	$1$	$1$	$-5$	$2$	$0$	$-5$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}-q^{7}+\cdots$
8050.2.a.bv	$8050$	$2$	8050.a	1.a	$1$	$5$	$5$	$64.280$	5.5.126032.1	None	✓	$1$	$1$	$5$	$-2$	$0$	$5$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+\beta _{3}q^{3}+q^{4}+\beta _{3}q^{6}+q^{7}+\cdots$
8050.2.a.bw	$8050$	$2$	8050.a	1.a	$1$	$5$	$5$	$64.280$	5.5.940784.1	None	✓	$1$	$1$	$5$	$-2$	$0$	$5$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+q^{7}+\cdots$
8050.2.a.bx	$8050$	$2$	8050.a	1.a	$1$	$5$	$5$	$64.280$	5.5.1933264.1	None	✓	$1$	$0$	$5$	$0$	$0$	$5$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+(-\beta _{1}+\beta _{3})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots$

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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.