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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 88 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	11	13	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
9438.2.a.a	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$-3$	$-1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-3q^{5}+q^{6}-q^{7}+\cdots$
9438.2.a.b	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$-3$	$3$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-3q^{5}+q^{6}+3q^{7}+\cdots$
9438.2.a.c	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$-2$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}-q^{8}+\cdots$
9438.2.a.d	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$-1$	$3$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+3q^{7}+\cdots$
9438.2.a.e	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$0$	$0$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots$
9438.2.a.f	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$1$	$-1$	$-1$	$2$	$-4$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}-4q^{7}+\cdots$
9438.2.a.g	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$2$	$-2$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}-2q^{7}+\cdots$
9438.2.a.h	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$4$	$-4$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+4q^{5}+q^{6}-4q^{7}+\cdots$
9438.2.a.i	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$-1$	$-1$	$4$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+4q^{5}+q^{6}-q^{8}+\cdots$
9438.2.a.j	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$-3$	$-5$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-3q^{5}-q^{6}-5q^{7}+\cdots$
9438.2.a.k	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$-3$	$3$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-3q^{5}-q^{6}+3q^{7}+\cdots$
9438.2.a.l	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-2$	$-2$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-2q^{7}+\cdots$
9438.2.a.m	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$-1$	$-1$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
9438.2.a.n	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$1$	$-1$	$1$	$0$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots$
9438.2.a.o	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$2$	$-4$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}-4q^{7}+\cdots$
9438.2.a.p	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$2$	$2$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}+2q^{7}+\cdots$
9438.2.a.q	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$-1$	$1$	$4$	$4$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+4q^{5}-q^{6}+4q^{7}+\cdots$
9438.2.a.r	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$-3$	$-3$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-3q^{5}-q^{6}-3q^{7}+\cdots$
9438.2.a.s	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$0$	$0$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots$
9438.2.a.t	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$1$	$1$	$-1$	$2$	$-4$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}-4q^{7}+\cdots$
9438.2.a.u	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$2$	$0$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+q^{8}+\cdots$
9438.2.a.v	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$2$	$2$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}+2q^{7}+\cdots$
9438.2.a.w	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$1$	$-1$	$4$	$4$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+4q^{5}-q^{6}+4q^{7}+\cdots$
9438.2.a.x	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$-3$	$-3$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-3q^{5}+q^{6}-3q^{7}+\cdots$
9438.2.a.y	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-2$	$-4$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}-4q^{7}+\cdots$
9438.2.a.z	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$-2$	$2$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}+2q^{7}+\cdots$
9438.2.a.ba	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$1$	$1$	$1$	$0$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots$
9438.2.a.bb	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$0$	$4$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+q^{6}+4q^{7}+q^{8}+\cdots$
9438.2.a.bc	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$2$	$-2$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}-2q^{7}+\cdots$
9438.2.a.bd	$9438$	$2$	9438.a	1.a	$1$	$1$	$1$	$75.363$	$\Q$	None	✓	$1$	$0$	$1$	$1$	$3$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{3}+q^{4}+3q^{5}+q^{6}+q^{7}+\cdots$
9438.2.a.be	$9438$	$2$	9438.a	1.a	$1$	$2$	$2$	$75.363$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$-2$	$-4$	$10$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+(-1-2\beta )q^{5}+q^{6}+\cdots$
9438.2.a.bf	$9438$	$2$	9438.a	1.a	$1$	$2$	$2$	$75.363$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$-2$	$-2$	$-2$	$-1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+(-1+\cdots)q^{7}+\cdots$
9438.2.a.bg	$9438$	$2$	9438.a	1.a	$1$	$2$	$2$	$75.363$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$-2$	$-2$	$0$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+(1-2\beta )q^{7}+\cdots$
9438.2.a.bh	$9438$	$2$	9438.a	1.a	$1$	$2$	$2$	$75.363$	$\Q(\sqrt{37}) $	None	✓	$1$	$0$	$-2$	$-2$	$-2$	$1$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+\beta q^{7}+\cdots$
9438.2.a.bi	$9438$	$2$	9438.a	1.a	$1$	$2$	$2$	$75.363$	$\Q(\sqrt{33}) $	None	✓	$1$	$1$	$-2$	$-2$	$-1$	$-1$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}-\beta q^{5}+q^{6}-\beta q^{7}+\cdots$
9438.2.a.bj	$9438$	$2$	9438.a	1.a	$1$	$2$	$2$	$75.363$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-2$	$-2$	$0$	$-1$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+(1-2\beta )q^{5}+q^{6}+\cdots$
9438.2.a.bk	$9438$	$2$	9438.a	1.a	$1$	$2$	$2$	$75.363$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$-2$	$4$	$3$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}+(2-\beta )q^{7}+\cdots$
9438.2.a.bl	$9438$	$2$	9438.a	1.a	$1$	$2$	$2$	$75.363$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-2$	$2$	$-4$	$3$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+(-1-2\beta )q^{5}-q^{6}+\cdots$
9438.2.a.bm	$9438$	$2$	9438.a	1.a	$1$	$2$	$2$	$75.363$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$2$	$-2$	$2$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
9438.2.a.bn	$9438$	$2$	9438.a	1.a	$1$	$2$	$2$	$75.363$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-2$	$2$	$-2$	$3$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+3\beta q^{7}+\cdots$
9438.2.a.bo	$9438$	$2$	9438.a	1.a	$1$	$2$	$2$	$75.363$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$2$	$-1$	$7$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}-\beta q^{5}-q^{6}+(3+\beta )q^{7}+\cdots$
9438.2.a.bp	$9438$	$2$	9438.a	1.a	$1$	$2$	$2$	$75.363$	$\Q(\sqrt{13}) $	None	✓	$1$	$0$	$-2$	$2$	$0$	$-3$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+(1-2\beta )q^{5}-q^{6}+\cdots$
9438.2.a.bq	$9438$	$2$	9438.a	1.a	$1$	$2$	$2$	$75.363$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$2$	$0$	$4$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+(1-2\beta )q^{5}-q^{6}+\cdots$
9438.2.a.br	$9438$	$2$	9438.a	1.a	$1$	$2$	$2$	$75.363$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-2$	$2$	$4$	$-5$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}+(-3+\cdots)q^{7}+\cdots$
9438.2.a.bs	$9438$	$2$	9438.a	1.a	$1$	$2$	$2$	$75.363$	$\Q(\sqrt{41}) $	None	✓	$1$	$1$	$-2$	$2$	$4$	$0$	$+$	$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}-q^{8}+\cdots$
9438.2.a.bt	$9438$	$2$	9438.a	1.a	$1$	$2$	$2$	$75.363$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-2$	$2$	$6$	$1$	$+$	$-$	$-$	$-$	$-$	$3$	$\mathrm{SU}(2)$	$q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}+(1+\beta )q^{7}+\cdots$
9438.2.a.bu	$9438$	$2$	9438.a	1.a	$1$	$2$	$2$	$75.363$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$-2$	$-4$	$-10$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+(-1-2\beta )q^{5}-q^{6}+\cdots$
9438.2.a.bv	$9438$	$2$	9438.a	1.a	$1$	$2$	$2$	$75.363$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$2$	$-2$	$-3$	$1$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}+(-1-\beta )q^{5}-q^{6}+\cdots$
9438.2.a.bw	$9438$	$2$	9438.a	1.a	$1$	$2$	$2$	$75.363$	$\Q(\sqrt{37}) $	None	✓	$1$	$0$	$2$	$-2$	$-2$	$-1$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-\beta q^{7}+\cdots$
9438.2.a.bx	$9438$	$2$	9438.a	1.a	$1$	$2$	$2$	$75.363$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$-2$	$-2$	$0$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots$

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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.