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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 108 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
2184.1.bf.a	$2184$	$1$	2184.bf	2184.af	$2$	$1$	$1$	$1.090$	$\Q$	$D_{3}$	$\Q(\sqrt{-546}) $	None	✓	$2$	$0$	$-1$	$-1$	$-1$	$-1$		$1$		$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$
2184.1.bf.b	$2184$	$1$	2184.bf	2184.af	$2$	$1$	$1$	$1.090$	$\Q$	$D_{3}$	$\Q(\sqrt{-546}) $	None	✓	$2$	$0$	$-1$	$-1$	$1$	$1$		$1$		$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots$
2184.1.bf.c	$2184$	$1$	2184.bf	2184.af	$2$	$1$	$1$	$1.090$	$\Q$	$D_{3}$	$\Q(\sqrt{-546}) $	None	✓	$2$	$0$	$-1$	$1$	$-1$	$1$		$1$		$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+q^{7}+\cdots$
2184.1.bf.d	$2184$	$1$	2184.bf	2184.af	$2$	$1$	$1$	$1.090$	$\Q$	$D_{3}$	$\Q(\sqrt{-546}) $	None	✓	$2$	$0$	$-1$	$1$	$1$	$-1$		$1$		$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$
2184.1.bf.e	$2184$	$1$	2184.bf	2184.af	$2$	$1$	$1$	$1.090$	$\Q$	$D_{3}$	$\Q(\sqrt{-546}) $	None	✓	$2$	$0$	$1$	$-1$	$-1$	$-1$		$1$		$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots$
2184.1.bf.f	$2184$	$1$	2184.bf	2184.af	$2$	$1$	$1$	$1.090$	$\Q$	$D_{3}$	$\Q(\sqrt{-546}) $	None	✓	$2$	$0$	$1$	$-1$	$1$	$1$		$1$		$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$
2184.1.bf.g	$2184$	$1$	2184.bf	2184.af	$2$	$1$	$1$	$1.090$	$\Q$	$D_{3}$	$\Q(\sqrt{-546}) $	None	✓	$2$	$0$	$1$	$1$	$-1$	$1$		$1$		$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots$
2184.1.bf.h	$2184$	$1$	2184.bf	2184.af	$2$	$1$	$1$	$1.090$	$\Q$	$D_{3}$	$\Q(\sqrt{-546}) $	None	✓	$2$	$0$	$1$	$1$	$1$	$-1$		$1$		$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-q^{7}+\cdots$
2184.1.bf.i	$2184$	$1$	2184.bf	2184.af	$2$	$2$	$2$	$1.090$	$\Q(\sqrt{-1}) $	$D_{2}$	$\Q(\sqrt{-26}) $, $\Q(\sqrt{-42}) $	$\Q(\sqrt{273}) $		$8$	$0$	$0$	$-2$	$0$	$0$		$1$		$q-iq^{2}-q^{3}-q^{4}+iq^{6}+iq^{7}+iq^{8}+\cdots$
2184.1.bf.j	$2184$	$1$	2184.bf	2184.af	$2$	$2$	$2$	$1.090$	$\Q(\sqrt{-1}) $	$D_{2}$	$\Q(\sqrt{-26}) $, $\Q(\sqrt{-42}) $	$\Q(\sqrt{273}) $		$8$	$0$	$0$	$2$	$0$	$0$		$1$		$q-iq^{2}+q^{3}-q^{4}-iq^{6}-iq^{7}+iq^{8}+\cdots$
2184.1.bf.k	$2184$	$1$	2184.bf	2184.af	$2$	$4$	$4$	$1.090$	$\Q(\zeta_{12})$	$D_{6}$	$\Q(\sqrt{-26}) $	None		$8$	$0$	$0$	$-2$	$0$	$0$		$1$		$q-\zeta_{12}^{3}q^{2}+\zeta_{12}^{4}q^{3}-q^{4}+(-\zeta_{12}+\cdots)q^{5}+\cdots$
2184.1.bf.l	$2184$	$1$	2184.bf	2184.af	$2$	$4$	$4$	$1.090$	$\Q(\zeta_{12})$	$D_{6}$	$\Q(\sqrt{-26}) $	None		$8$	$0$	$0$	$2$	$0$	$0$		$1$		$q-\zeta_{12}^{3}q^{2}-\zeta_{12}^{4}q^{3}-q^{4}+(\zeta_{12}+\cdots)q^{5}+\cdots$
2184.1.bp.a	$2184$	$1$	2184.bp	273.o	$4$	$4$	$2$	$1.090$	$\Q(\zeta_{8})$	$S_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{8}q^{3}-\zeta_{8}q^{5}+\zeta_{8}q^{7}+\zeta_{8}^{2}q^{9}+\cdots$
2184.1.bp.b	$2184$	$1$	2184.bp	273.o	$4$	$4$	$2$	$1.090$	$\Q(\zeta_{8})$	$S_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{8}^{3}q^{3}+\zeta_{8}q^{5}+\zeta_{8}q^{7}-\zeta_{8}^{2}q^{9}+\cdots$
2184.1.br.a	$2184$	$1$	2184.br	2184.ar	$4$	$8$	$4$	$1.090$	$\Q(\zeta_{16})$	$D_{8}$	$\Q(\sqrt{-14}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{16}^{6}q^{2}+\zeta_{16}^{3}q^{3}-\zeta_{16}^{4}q^{4}+\cdots$
2184.1.br.b	$2184$	$1$	2184.br	2184.ar	$4$	$8$	$4$	$1.090$	$\Q(\zeta_{16})$	$D_{8}$	$\Q(\sqrt{-14}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{16}^{6}q^{2}+\zeta_{16}^{5}q^{3}-\zeta_{16}^{4}q^{4}+\cdots$
2184.1.cj.a	$2184$	$1$	2184.cj	2184.bj	$6$	$2$	$1$	$1.090$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-42}) $	None		$4$	$0$	$-1$	$-1$	$0$	$-1$		$1$		$q-\zeta_{6}q^{2}-\zeta_{6}q^{3}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{6}+\cdots$
2184.1.cj.b	$2184$	$1$	2184.cj	2184.bj	$6$	$2$	$1$	$1.090$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-42}) $	None		$4$	$0$	$-1$	$1$	$0$	$1$		$1$		$q-\zeta_{6}q^{2}+\zeta_{6}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{6}+\cdots$
2184.1.cj.c	$2184$	$1$	2184.cj	2184.bj	$6$	$2$	$1$	$1.090$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-42}) $	None		$4$	$0$	$1$	$-1$	$0$	$1$		$1$		$q+\zeta_{6}q^{2}-\zeta_{6}q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{6}+\cdots$
2184.1.cj.d	$2184$	$1$	2184.cj	2184.bj	$6$	$2$	$1$	$1.090$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-42}) $	None		$4$	$0$	$1$	$1$	$0$	$-1$		$1$		$q+\zeta_{6}q^{2}+\zeta_{6}q^{3}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{6}+\cdots$
2184.1.de.a	$2184$	$1$	2184.de	2184.ce	$6$	$12$	$6$	$1.090$	$\Q(\zeta_{36})$	$D_{18}$	$\Q(\sqrt{-26}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{36}^{3}q^{2}-\zeta_{36}^{2}q^{3}+\zeta_{36}^{6}q^{4}+\cdots$
2184.1.de.b	$2184$	$1$	2184.de	2184.ce	$6$	$12$	$6$	$1.090$	$\Q(\zeta_{36})$	$D_{18}$	$\Q(\sqrt{-26}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{36}^{3}q^{2}-\zeta_{36}^{4}q^{3}+\zeta_{36}^{6}q^{4}+\cdots$
2184.1.gf.a	$2184$	$1$	2184.gf	2184.ff	$6$	$4$	$2$	$1.090$	$\Q(\zeta_{12})$	$D_{6}$	$\Q(\sqrt{-42}) $	None		$8$	$0$	$0$	$-2$	$0$	$0$		$1$		$q+\zeta_{12}q^{2}+\zeta_{12}^{4}q^{3}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{5}q^{6}+\cdots$
2184.1.gf.b	$2184$	$1$	2184.gf	2184.ff	$6$	$4$	$2$	$1.090$	$\Q(\zeta_{12})$	$D_{6}$	$\Q(\sqrt{-42}) $	None		$8$	$0$	$0$	$2$	$0$	$0$		$1$		$q-\zeta_{12}q^{2}-\zeta_{12}^{4}q^{3}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{5}q^{6}+\cdots$
2184.1.ib.a	$2184$	$1$	2184.ib	2184.hb	$12$	$16$	$4$	$1.090$	$\Q(\zeta_{48})$	$D_{24}$	$\Q(\sqrt{-14}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{48}^{22}q^{2}+\zeta_{48}^{5}q^{3}-\zeta_{48}^{20}q^{4}+\cdots$
2184.1.ib.b	$2184$	$1$	2184.ib	2184.hb	$12$	$16$	$4$	$1.090$	$\Q(\zeta_{48})$	$D_{24}$	$\Q(\sqrt{-14}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{48}^{14}q^{2}+\zeta_{48}^{15}q^{3}-\zeta_{48}^{4}q^{4}+\cdots$
2184.2.a.a	$2184$	$2$	2184.a	1.a	$1$	$1$	$1$	$17.439$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$-3$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-3q^{5}+q^{7}+q^{9}-5q^{11}-q^{13}+\cdots$
2184.2.a.b	$2184$	$2$	2184.a	1.a	$1$	$1$	$1$	$17.439$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$-3$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-3q^{5}+q^{7}+q^{9}+6q^{11}-q^{13}+\cdots$
2184.2.a.c	$2184$	$2$	2184.a	1.a	$1$	$1$	$1$	$17.439$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$-2$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-2q^{5}+q^{7}+q^{9}-4q^{11}+q^{13}+\cdots$
2184.2.a.d	$2184$	$2$	2184.a	1.a	$1$	$1$	$1$	$17.439$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{7}+q^{9}+2q^{11}-q^{13}-2q^{17}+\cdots$
2184.2.a.e	$2184$	$2$	2184.a	1.a	$1$	$1$	$1$	$17.439$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}+5q^{11}+q^{13}+\cdots$
2184.2.a.f	$2184$	$2$	2184.a	1.a	$1$	$1$	$1$	$17.439$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$2$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+2q^{5}-q^{7}+q^{9}+q^{13}-2q^{15}+\cdots$
2184.2.a.g	$2184$	$2$	2184.a	1.a	$1$	$1$	$1$	$17.439$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$2$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+2q^{5}+q^{7}+q^{9}-4q^{11}-q^{13}+\cdots$
2184.2.a.h	$2184$	$2$	2184.a	1.a	$1$	$1$	$1$	$17.439$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$4$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+4q^{5}+q^{7}+q^{9}+6q^{11}-q^{13}+\cdots$
2184.2.a.i	$2184$	$2$	2184.a	1.a	$1$	$1$	$1$	$17.439$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$-3$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-3q^{5}+q^{7}+q^{9}-2q^{11}-q^{13}+\cdots$
2184.2.a.j	$2184$	$2$	2184.a	1.a	$1$	$1$	$1$	$17.439$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$-2$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-2q^{5}+q^{7}+q^{9}-4q^{11}+q^{13}+\cdots$
2184.2.a.k	$2184$	$2$	2184.a	1.a	$1$	$1$	$1$	$17.439$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$0$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{7}+q^{9}-2q^{11}-q^{13}-2q^{17}+\cdots$
2184.2.a.l	$2184$	$2$	2184.a	1.a	$1$	$1$	$1$	$17.439$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$0$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{7}+q^{9}-2q^{11}-q^{13}-6q^{17}+\cdots$
2184.2.a.m	$2184$	$2$	2184.a	1.a	$1$	$1$	$1$	$17.439$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$2$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+2q^{5}+q^{7}+q^{9}+4q^{11}-q^{13}+\cdots$
2184.2.a.n	$2184$	$2$	2184.a	1.a	$1$	$2$	$2$	$17.439$	$\Q(\sqrt{17}) $	$_{}$	None	None	✓	$1$	$1$	$0$	$-2$	$-3$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+(-1-\beta )q^{5}-q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots$
2184.2.a.o	$2184$	$2$	2184.a	1.a	$1$	$2$	$2$	$17.439$	$\Q(\sqrt{17}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$-2$	$-1$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-\beta q^{5}-q^{7}+q^{9}+(2-\beta )q^{11}+\cdots$
2184.2.a.p	$2184$	$2$	2184.a	1.a	$1$	$2$	$2$	$17.439$	$\Q(\sqrt{17}) $	$_{}$	None	None	✓	$1$	$1$	$0$	$-2$	$1$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+\beta q^{5}+q^{7}+q^{9}-2q^{11}-q^{13}+\cdots$
2184.2.a.q	$2184$	$2$	2184.a	1.a	$1$	$2$	$2$	$17.439$	$\Q(\sqrt{17}) $	$_{}$	None	None	✓	$1$	$1$	$0$	$2$	$-3$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(-1-\beta )q^{5}-q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots$
2184.2.a.r	$2184$	$2$	2184.a	1.a	$1$	$2$	$2$	$17.439$	$\Q(\sqrt{33}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$2$	$1$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+\beta q^{5}-q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots$
2184.2.a.s	$2184$	$2$	2184.a	1.a	$1$	$3$	$3$	$17.439$	3.3.2089.1	$_{}$	None	None	✓	$1$	$0$	$0$	$3$	$0$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-\beta _{1}q^{5}+q^{7}+q^{9}+(\beta _{1}+\beta _{2})q^{11}+\cdots$
2184.2.a.t	$2184$	$2$	2184.a	1.a	$1$	$3$	$3$	$17.439$	3.3.961.1	$_{}$	None	None	✓	$1$	$0$	$0$	$3$	$2$	$-3$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+(1-\beta _{1})q^{5}-q^{7}+q^{9}+(3-\beta _{1}+\cdots)q^{11}+\cdots$
2184.2.a.u	$2184$	$2$	2184.a	1.a	$1$	$3$	$3$	$17.439$	3.3.316.1	$_{}$	None	None	✓	$1$	$0$	$0$	$3$	$3$	$3$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{3}+(1-\beta _{1})q^{5}+q^{7}+q^{9}+(1+\beta _{1}+\cdots)q^{11}+\cdots$
2184.2.a.v	$2184$	$2$	2184.a	1.a	$1$	$4$	$4$	$17.439$	4.4.138892.1	$_{}$	None	None	✓	$1$	$0$	$0$	$-4$	$2$	$-4$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{3}+(1+\beta _{1})q^{5}-q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots$
2184.2.h.a	$2184$	$2$	2184.h	13.b	$2$	$2$	$2$	$17.439$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$-2$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-q^{3}+3iq^{5}+iq^{7}+q^{9}+5iq^{11}+\cdots$
2184.2.h.b	$2184$	$2$	2184.h	13.b	$2$	$2$	$2$	$17.439$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$2$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+q^{3}+3iq^{5}+iq^{7}+q^{9}-4iq^{11}+\cdots$

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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.