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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 54 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	7	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
5733.2.a.a	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	$\Q$	None	✓	$1$	$0$	$-2$	$0$	$1$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+q^{5}-2q^{10}+2q^{11}+\cdots$
5733.2.a.b	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+3q^{8}+q^{13}-q^{16}-2q^{17}+\cdots$
5733.2.a.c	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+3q^{8}+3q^{11}-q^{13}+\cdots$
5733.2.a.d	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$0$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+3q^{8}+3q^{11}+q^{13}+\cdots$
5733.2.a.e	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$2$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+2q^{5}+3q^{8}-2q^{10}+\cdots$
5733.2.a.f	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-3$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-3q^{5}-q^{13}+4q^{16}-6q^{17}+\cdots$
5733.2.a.g	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-q^{5}+2q^{11}-q^{13}+4q^{16}+\cdots$
5733.2.a.h	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+q^{5}+2q^{11}+q^{13}+4q^{16}+\cdots$
5733.2.a.i	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-4$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-4q^{5}-3q^{8}-4q^{10}+\cdots$
5733.2.a.j	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-3q^{8}+q^{13}-q^{16}+2q^{17}+\cdots$
5733.2.a.k	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$4$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+4q^{5}-3q^{8}+4q^{10}+\cdots$
5733.2.a.l	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	$\Q$	None	✓	$1$	$0$	$2$	$0$	$-3$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-3q^{5}-6q^{10}+6q^{11}+\cdots$
5733.2.a.m	$5733$	$2$	5733.a	1.a	$1$	$1$	$1$	$45.778$	$\Q$	None	✓	$1$	$1$	$2$	$0$	$-1$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-q^{5}-2q^{10}+2q^{11}+\cdots$
5733.2.a.n	$5733$	$2$	5733.a	1.a	$1$	$2$	$2$	$45.778$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$-2$	$0$	$0$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+(-3+\beta )q^{8}+\cdots$
5733.2.a.o	$5733$	$2$	5733.a	1.a	$1$	$2$	$2$	$45.778$	$\Q(\sqrt{7}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-\beta q^{5}+2\beta q^{11}-q^{13}+4q^{16}+\cdots$
5733.2.a.p	$5733$	$2$	5733.a	1.a	$1$	$2$	$2$	$45.778$	$\Q(\sqrt{7}) $	None	✓	$2$	$1$	$0$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-\beta q^{5}-2\beta q^{11}+q^{13}+4q^{16}+\cdots$
5733.2.a.q	$5733$	$2$	5733.a	1.a	$1$	$2$	$2$	$45.778$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}-q^{5}-2\beta q^{8}-\beta q^{10}+2q^{11}+\cdots$
5733.2.a.r	$5733$	$2$	5733.a	1.a	$1$	$2$	$2$	$45.778$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$0$	$2$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+q^{5}-2\beta q^{8}+\beta q^{10}+2q^{11}+\cdots$
5733.2.a.s	$5733$	$2$	5733.a	1.a	$1$	$2$	$2$	$45.778$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$6$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(3-\beta )q^{5}-2\beta q^{8}+(-2+3\beta )q^{10}+\cdots$
5733.2.a.t	$5733$	$2$	5733.a	1.a	$1$	$2$	$2$	$45.778$	$\Q(\sqrt{3}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+q^{4}-\beta q^{8}-2\beta q^{11}-q^{13}+\cdots$
5733.2.a.u	$5733$	$2$	5733.a	1.a	$1$	$2$	$2$	$45.778$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$2$	$0$	$0$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+(1+2\beta )q^{4}+2\beta q^{5}+(3+\cdots)q^{8}+\cdots$
5733.2.a.v	$5733$	$2$	5733.a	1.a	$1$	$2$	$2$	$45.778$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$3$	$0$	$0$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+3\beta q^{4}+(1-2\beta )q^{5}+(1+\cdots)q^{8}+\cdots$
5733.2.a.w	$5733$	$2$	5733.a	1.a	$1$	$2$	$2$	$45.778$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$3$	$0$	$0$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+3\beta q^{4}+(-1+2\beta )q^{5}+\cdots$
5733.2.a.x	$5733$	$2$	5733.a	1.a	$1$	$3$	$3$	$45.778$	3.3.316.1	None	✓	$1$	$1$	$-1$	$0$	$2$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1-\beta _{1})q^{5}+\cdots$
5733.2.a.y	$5733$	$2$	5733.a	1.a	$1$	$3$	$3$	$45.778$	$\Q(\zeta_{18})^+$	None	✓	$1$	$1$	$0$	$0$	$-3$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+\beta _{2}q^{4}+(-1-\beta _{1})q^{5}+(-1+\cdots)q^{8}+\cdots$
5733.2.a.z	$5733$	$2$	5733.a	1.a	$1$	$3$	$3$	$45.778$	$\Q(\zeta_{18})^+$	None	✓	$1$	$1$	$0$	$0$	$3$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+\beta _{2}q^{4}+(1+\beta _{1})q^{5}+(-1+\cdots)q^{8}+\cdots$
5733.2.a.ba	$5733$	$2$	5733.a	1.a	$1$	$3$	$3$	$45.778$	$\Q(\zeta_{14})^+$	None	✓	$1$	$1$	$2$	$0$	$-3$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$
5733.2.a.bb	$5733$	$2$	5733.a	1.a	$1$	$3$	$3$	$45.778$	$\Q(\zeta_{14})^+$	None	✓	$1$	$1$	$2$	$0$	$3$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots$
5733.2.a.bc	$5733$	$2$	5733.a	1.a	$1$	$3$	$3$	$45.778$	3.3.316.1	None	✓	$1$	$0$	$2$	$0$	$-3$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{2}+(2-2\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots$
5733.2.a.bd	$5733$	$2$	5733.a	1.a	$1$	$3$	$3$	$45.778$	3.3.404.1	None	✓	$1$	$1$	$2$	$0$	$-5$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots$
5733.2.a.be	$5733$	$2$	5733.a	1.a	$1$	$3$	$3$	$45.778$	3.3.404.1	None	✓	$1$	$0$	$2$	$0$	$5$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+(2+\cdots)q^{5}+\cdots$
5733.2.a.bf	$5733$	$2$	5733.a	1.a	$1$	$4$	$4$	$45.778$	4.4.17428.1	None	✓	$1$	$1$	$-1$	$0$	$-3$	$0$	$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-1-\beta _{2})q^{5}+\cdots$
5733.2.a.bg	$5733$	$2$	5733.a	1.a	$1$	$4$	$4$	$45.778$	4.4.7168.1	None	✓	$2$	$1$	$0$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\cdots$
5733.2.a.bh	$5733$	$2$	5733.a	1.a	$1$	$4$	$4$	$45.778$	4.4.7168.1	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(\beta _{1}+\beta _{3})q^{5}+\cdots$
5733.2.a.bi	$5733$	$2$	5733.a	1.a	$1$	$4$	$4$	$45.778$	$\Q(\sqrt{3}, \sqrt{11})$	None	✓	$2$	$1$	$0$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(2+\beta _{3})q^{4}+(-\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots$
5733.2.a.bj	$5733$	$2$	5733.a	1.a	$1$	$4$	$4$	$45.778$	4.4.69777.1	None	✓	$1$	$0$	$1$	$0$	$-3$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-1+\beta _{1})q^{5}+\cdots$
5733.2.a.bk	$5733$	$2$	5733.a	1.a	$1$	$4$	$4$	$45.778$	4.4.69777.1	None	✓	$1$	$0$	$1$	$0$	$3$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(1-\beta _{1})q^{5}+\cdots$
5733.2.a.bl	$5733$	$2$	5733.a	1.a	$1$	$5$	$5$	$45.778$	5.5.746052.1	None	✓	$1$	$1$	$-4$	$0$	$-2$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{3}-\beta _{4})q^{4}+\cdots$
5733.2.a.bm	$5733$	$2$	5733.a	1.a	$1$	$5$	$5$	$45.778$	5.5.746052.1	None	✓	$1$	$1$	$-4$	$0$	$2$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{3}-\beta _{4})q^{4}+\cdots$
5733.2.a.bn	$5733$	$2$	5733.a	1.a	$1$	$5$	$5$	$45.778$	5.5.2196544.1	None	✓	$1$	$0$	$-2$	$0$	$-3$	$0$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{4})q^{5}+\cdots$
5733.2.a.bo	$5733$	$2$	5733.a	1.a	$1$	$5$	$5$	$45.778$	5.5.2196544.1	None	✓	$1$	$1$	$-2$	$0$	$3$	$0$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1-\beta _{4})q^{5}+\cdots$
5733.2.a.bp	$5733$	$2$	5733.a	1.a	$1$	$5$	$5$	$45.778$	5.5.375116.1	None	✓	$1$	$0$	$0$	$0$	$-3$	$0$	$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q-\beta _{3}q^{2}+(1-\beta _{4})q^{4}+(-1+\beta _{2})q^{5}+\cdots$
5733.2.a.bq	$5733$	$2$	5733.a	1.a	$1$	$5$	$5$	$45.778$	5.5.375116.1	None	✓	$1$	$0$	$0$	$0$	$3$	$0$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-\beta _{3}q^{2}+(1-\beta _{4})q^{4}+(1-\beta _{2})q^{5}+\cdots$
5733.2.a.br	$5733$	$2$	5733.a	1.a	$1$	$6$	$6$	$45.778$	6.6.4507648.1	None	✓	$1$	$1$	$0$	$0$	$-6$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{2}+(1-\beta _{1}-\beta _{3}+\beta _{4})q^{4}+(-1+\cdots)q^{5}+\cdots$
5733.2.a.bs	$5733$	$2$	5733.a	1.a	$1$	$6$	$6$	$45.778$	6.6.46162368.1	None	✓	$2$	$1$	$0$	$0$	$0$	$0$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}+\beta _{3}q^{8}+\cdots$
5733.2.a.bt	$5733$	$2$	5733.a	1.a	$1$	$6$	$6$	$45.778$	6.6.46162368.1	None	✓	$2$	$1$	$0$	$0$	$0$	$0$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{3}q^{5}+\beta _{3}q^{8}+\cdots$
5733.2.a.bu	$5733$	$2$	5733.a	1.a	$1$	$6$	$6$	$45.778$	6.6.4507648.1	None	✓	$1$	$0$	$0$	$0$	$6$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{2}+(1-\beta _{1}-\beta _{3}+\beta _{4})q^{4}+(1+\cdots)q^{5}+\cdots$
5733.2.a.bv	$5733$	$2$	5733.a	1.a	$1$	$6$	$6$	$45.778$	6.6.199374400.1	None	✓	$2$	$0$	$0$	$0$	$0$	$0$	$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+\beta _{4}q^{2}+(2+\beta _{2})q^{4}+\beta _{3}q^{5}+(2\beta _{4}+\cdots)q^{8}+\cdots$
5733.2.a.bw	$5733$	$2$	5733.a	1.a	$1$	$10$	$10$	$45.778$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$1$	$-4$	$0$	$-6$	$0$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-1-\beta _{5})q^{5}+\cdots$
5733.2.a.bx	$5733$	$2$	5733.a	1.a	$1$	$10$	$10$	$45.778$	$\mathbb{Q}[x]/(x^{10} - \cdots)$	None	✓	$1$	$0$	$-4$	$0$	$6$	$0$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(1+\beta _{5})q^{5}+\cdots$

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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.