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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 81 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	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7623.2.a.a	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$0$	$-2$	$0$	$-1$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}-q^{5}+q^{7}+2q^{10}+\cdots$
7623.2.a.b	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$1$	$-2$	$0$	$-1$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}-q^{5}+q^{7}+2q^{10}+\cdots$
7623.2.a.c	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$0$	$-2$	$0$	$1$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+q^{5}-q^{7}-2q^{10}+\cdots$
7623.2.a.d	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$1$	$-2$	$0$	$3$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+3q^{5}-q^{7}-6q^{10}+\cdots$
7623.2.a.e	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-1$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-q^{5}-q^{7}+3q^{8}+q^{10}+\cdots$
7623.2.a.f	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$2$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+2q^{5}-q^{7}+3q^{8}-2q^{10}+\cdots$
7623.2.a.g	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$2$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+2q^{5}+q^{7}+3q^{8}-2q^{10}+\cdots$
7623.2.a.h	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$3$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+3q^{5}+q^{7}+3q^{8}-3q^{10}+\cdots$
7623.2.a.i	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-3$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-3q^{5}-q^{7}+4q^{13}+4q^{16}+\cdots$
7623.2.a.j	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+q^{5}+q^{7}+4q^{13}+4q^{16}+\cdots$
7623.2.a.k	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$3$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+3q^{5}-q^{7}+4q^{13}+4q^{16}+\cdots$
7623.2.a.l	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$3$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+3q^{5}+q^{7}-4q^{13}+4q^{16}+\cdots$
7623.2.a.m	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$-1$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-q^{5}+q^{7}-3q^{8}-q^{10}+\cdots$
7623.2.a.n	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$2$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+2q^{5}+q^{7}-3q^{8}+2q^{10}+\cdots$
7623.2.a.o	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$3$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+3q^{5}-q^{7}-3q^{8}+3q^{10}+\cdots$
7623.2.a.p	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$0$	$2$	$0$	$-1$	$-1$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-q^{5}-q^{7}-2q^{10}+\cdots$
7623.2.a.q	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$1$	$2$	$0$	$-1$	$-1$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-q^{5}-q^{7}-2q^{10}+\cdots$
7623.2.a.r	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$1$	$2$	$0$	$1$	$1$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}+q^{5}+q^{7}+2q^{10}+\cdots$
7623.2.a.s	$7623$	$2$	7623.a	1.a	$1$	$1$	$1$	$60.870$	$\Q$	None	✓	$1$	$0$	$2$	$0$	$3$	$1$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}+3q^{5}+q^{7}+6q^{10}+\cdots$
7623.2.a.t	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-3$	$0$	$-2$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{2}+3\beta q^{4}-q^{5}-q^{7}+\cdots$
7623.2.a.u	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-3$	$0$	$-1$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{2}+3\beta q^{4}-\beta q^{5}+q^{7}+\cdots$
7623.2.a.v	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-3$	$0$	$2$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{2}+3\beta q^{4}+q^{5}-q^{7}+\cdots$
7623.2.a.w	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-2$	$0$	$-1$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+(-2+3\beta )q^{5}-q^{7}+3q^{8}+\cdots$
7623.2.a.x	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$0$	$4$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}+(2-2\beta )q^{4}+(2-\beta )q^{5}+\cdots$
7623.2.a.y	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-1$	$0$	$0$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(-1+\beta )q^{4}+(-1+2\beta )q^{5}+\cdots$
7623.2.a.z	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-1$	$0$	$1$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(-1+\beta )q^{4}+(1-\beta )q^{5}+q^{7}+\cdots$
7623.2.a.ba	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$-1$	$0$	$3$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(-1+\beta )q^{4}+(1+\beta )q^{5}+q^{7}+\cdots$
7623.2.a.bb	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$-1$	$0$	$4$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(-1+\beta )q^{4}+(1+2\beta )q^{5}+\cdots$
7623.2.a.bc	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$-1$	$0$	$0$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(1+\beta )q^{4}+(1-2\beta )q^{5}-q^{7}+\cdots$
7623.2.a.bd	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$-1$	$0$	$2$	$2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(1+\beta )q^{4}+q^{5}+q^{7}-3q^{8}+\cdots$
7623.2.a.be	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$-1$	$0$	$-2$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(2+\beta )q^{4}-q^{5}+q^{7}+(-4+\cdots)q^{8}+\cdots$
7623.2.a.bf	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{21}) $	None	✓	$1$	$1$	$-1$	$0$	$-6$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(3+\beta )q^{4}-3q^{5}-q^{7}+(-5+\cdots)q^{8}+\cdots$
7623.2.a.bg	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{13}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$-2$	$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q-2q^{4}-\beta q^{5}-q^{7}+2q^{13}+4q^{16}+\cdots$
7623.2.a.bh	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{13}) $	None	✓	$2$	$1$	$0$	$0$	$0$	$2$	$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-2q^{4}-\beta q^{5}+q^{7}-2q^{13}+4q^{16}+\cdots$
7623.2.a.bi	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{3}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+q^{4}+2\beta q^{5}-q^{7}-\beta q^{8}+\cdots$
7623.2.a.bj	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$0$	$-1$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1-2\beta )q^{2}+3q^{4}-\beta q^{5}-q^{7}+(1+\cdots)q^{8}+\cdots$
7623.2.a.bk	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$0$	$-1$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1-2\beta )q^{2}+3q^{4}+(-1+\beta )q^{5}+\cdots$
7623.2.a.bl	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$0$	$0$	$4$	$-2$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-\beta q^{2}+3q^{4}+2q^{5}-q^{7}-\beta q^{8}+\cdots$
7623.2.a.bm	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$1$	$0$	$-2$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(-1+\beta )q^{4}-q^{5}-q^{7}+(1+\cdots)q^{8}+\cdots$
7623.2.a.bn	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$1$	$0$	$0$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(-1+\beta )q^{4}+(-1+2\beta )q^{5}+\cdots$
7623.2.a.bo	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$1$	$0$	$1$	$-2$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(-1+\beta )q^{4}+(1-\beta )q^{5}-q^{7}+\cdots$
7623.2.a.bp	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$1$	$0$	$3$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(-1+\beta )q^{4}+(1+\beta )q^{5}-q^{7}+\cdots$
7623.2.a.bq	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$1$	$0$	$4$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(-1+\beta )q^{4}+(1+2\beta )q^{5}+\cdots$
7623.2.a.br	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$1$	$0$	$-2$	$2$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(1+\beta )q^{4}-q^{5}+q^{7}+3q^{8}+\cdots$
7623.2.a.bs	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{13}) $	None	✓	$1$	$0$	$1$	$0$	$0$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(1+\beta )q^{4}+(1-2\beta )q^{5}+q^{7}+\cdots$
7623.2.a.bt	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$1$	$0$	$-2$	$-2$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(2+\beta )q^{4}-q^{5}-q^{7}+(4+\beta )q^{8}+\cdots$
7623.2.a.bu	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$1$	$2$	$0$	$-1$	$2$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+(-2+3\beta )q^{5}+q^{7}-3q^{8}+\cdots$
7623.2.a.bv	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$0$	$4$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+(2+2\beta )q^{4}+(2+\beta )q^{5}+\cdots$
7623.2.a.bw	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$3$	$0$	$-2$	$-2$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+3\beta q^{4}-q^{5}-q^{7}+(1+\cdots)q^{8}+\cdots$
7623.2.a.bx	$7623$	$2$	7623.a	1.a	$1$	$2$	$2$	$60.870$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$3$	$0$	$-2$	$2$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+3\beta q^{4}-q^{5}+q^{7}+(1+\cdots)q^{8}+\cdots$

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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.