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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 94 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
2040.1.v.a	$2040$	$1$	2040.v	2040.v	$2$	$1$	$1$	$1.018$	$\Q$	$D_{2}$	$\Q(\sqrt{-15}) $, $\Q(\sqrt{-510}) $	$\Q(\sqrt{34}) $	✓	$4$	$0$	$-1$	$-1$	$1$	$0$		$1$		$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots$
2040.1.v.b	$2040$	$1$	2040.v	2040.v	$2$	$1$	$1$	$1.018$	$\Q$	$D_{2}$	$\Q(\sqrt{-15}) $, $\Q(\sqrt{-510}) $	$\Q(\sqrt{34}) $	✓	$4$	$0$	$-1$	$1$	$-1$	$0$		$1$		$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots$
2040.1.v.c	$2040$	$1$	2040.v	2040.v	$2$	$1$	$1$	$1.018$	$\Q$	$D_{2}$	$\Q(\sqrt{-15}) $, $\Q(\sqrt{-510}) $	$\Q(\sqrt{34}) $	✓	$4$	$0$	$1$	$-1$	$1$	$0$		$1$		$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots$
2040.1.v.d	$2040$	$1$	2040.v	2040.v	$2$	$1$	$1$	$1.018$	$\Q$	$D_{2}$	$\Q(\sqrt{-15}) $, $\Q(\sqrt{-510}) $	$\Q(\sqrt{34}) $	✓	$4$	$0$	$1$	$1$	$-1$	$0$		$1$		$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots$
2040.1.v.e	$2040$	$1$	2040.v	2040.v	$2$	$2$	$2$	$1.018$	$\Q(\sqrt{-1}) $	$D_{2}$	$\Q(\sqrt{-30}) $, $\Q(\sqrt{-255}) $	$\Q(\sqrt{34}) $		$8$	$0$	$-2$	$0$	$0$	$0$		$1$		$q-q^{2}-iq^{3}+q^{4}-iq^{5}+iq^{6}-q^{8}+\cdots$
2040.1.v.f	$2040$	$1$	2040.v	2040.v	$2$	$2$	$2$	$1.018$	$\Q(\sqrt{-1}) $	$D_{2}$	$\Q(\sqrt{-30}) $, $\Q(\sqrt{-255}) $	$\Q(\sqrt{34}) $		$8$	$0$	$2$	$0$	$0$	$0$		$1$		$q+q^{2}-iq^{3}+q^{4}+iq^{5}-iq^{6}+q^{8}+\cdots$
2040.1.v.g	$2040$	$1$	2040.v	2040.v	$2$	$4$	$4$	$1.018$	$\Q(\zeta_{12})$	$D_{6}$	$\Q(\sqrt{-255}) $	None		$8$	$0$	$-2$	$0$	$0$	$0$		$1$		$q+\zeta_{12}^{4}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}^{2}q^{4}+\cdots$
2040.1.v.h	$2040$	$1$	2040.v	2040.v	$2$	$4$	$4$	$1.018$	$\Q(\zeta_{12})$	$D_{6}$	$\Q(\sqrt{-255}) $	None		$8$	$0$	$2$	$0$	$0$	$0$		$1$		$q-\zeta_{12}^{4}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}^{2}q^{4}+\cdots$
2040.1.cj.a	$2040$	$1$	2040.cj	2040.bj	$4$	$4$	$2$	$1.018$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-30}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}-\zeta_{8}q^{5}-\zeta_{8}^{3}q^{6}+\cdots$
2040.1.cj.b	$2040$	$1$	2040.cj	2040.bj	$4$	$4$	$2$	$1.018$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-30}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{8}^{2}q^{2}-\zeta_{8}q^{3}-q^{4}+\zeta_{8}q^{5}+\zeta_{8}^{3}q^{6}+\cdots$
2040.1.cj.c	$2040$	$1$	2040.cj	2040.bj	$4$	$4$	$2$	$1.018$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{8}q^{2}-\zeta_{8}^{3}q^{3}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{5}+\cdots$
2040.1.cj.d	$2040$	$1$	2040.cj	2040.bj	$4$	$4$	$2$	$1.018$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{8}^{3}q^{2}+\zeta_{8}^{3}q^{3}-\zeta_{8}^{2}q^{4}+\zeta_{8}^{3}q^{5}+\cdots$
2040.1.df.a	$2040$	$1$	2040.df	2040.cf	$8$	$8$	$2$	$1.018$	$\Q(\zeta_{16})$	$D_{8}$	$\Q(\sqrt{-30}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{16}^{6}q^{2}+\zeta_{16}^{5}q^{3}-\zeta_{16}^{4}q^{4}+\cdots$
2040.1.df.b	$2040$	$1$	2040.df	2040.cf	$8$	$8$	$2$	$1.018$	$\Q(\zeta_{16})$	$D_{8}$	$\Q(\sqrt{-30}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{16}^{6}q^{2}+\zeta_{16}^{5}q^{3}-\zeta_{16}^{4}q^{4}+\cdots$
2040.1.df.c	$2040$	$1$	2040.df	2040.cf	$8$	$8$	$2$	$1.018$	$\Q(\zeta_{16})$	$D_{8}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{16}^{5}q^{2}+\zeta_{16}q^{3}-\zeta_{16}^{2}q^{4}+\zeta_{16}^{5}q^{5}+\cdots$
2040.1.df.d	$2040$	$1$	2040.df	2040.cf	$8$	$8$	$2$	$1.018$	$\Q(\zeta_{16})$	$D_{8}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{16}^{7}q^{2}+\zeta_{16}q^{3}-\zeta_{16}^{6}q^{4}+\zeta_{16}^{5}q^{5}+\cdots$
2040.1.fb.a	$2040$	$1$	2040.fb	2040.eb	$16$	$16$	$2$	$1.018$	$\Q(\zeta_{32})$	$D_{16}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{32}^{3}q^{2}-\zeta_{32}^{7}q^{3}+\zeta_{32}^{6}q^{4}+\cdots$
2040.1.fb.b	$2040$	$1$	2040.fb	2040.eb	$16$	$16$	$2$	$1.018$	$\Q(\zeta_{32})$	$D_{16}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{32}q^{2}-\zeta_{32}^{7}q^{3}+\zeta_{32}^{2}q^{4}+\zeta_{32}^{11}q^{5}+\cdots$
2040.2.a.a	$2040$	$2$	2040.a	1.a	$1$	$1$	$1$	$16.289$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$-1$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-3q^{7}+q^{9}+3q^{11}+4q^{13}+\cdots$
2040.2.a.b	$2040$	$2$	2040.a	1.a	$1$	$1$	$1$	$16.289$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$-1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{9}-4q^{11}+6q^{13}+\cdots$
2040.2.a.c	$2040$	$2$	2040.a	1.a	$1$	$1$	$1$	$16.289$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$-1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{9}-2q^{13}+q^{15}-q^{17}+\cdots$
2040.2.a.d	$2040$	$2$	2040.a	1.a	$1$	$1$	$1$	$16.289$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$1$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-4q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots$
2040.2.a.e	$2040$	$2$	2040.a	1.a	$1$	$1$	$1$	$16.289$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$1$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-3q^{7}+q^{9}-3q^{11}+4q^{13}+\cdots$
2040.2.a.f	$2040$	$2$	2040.a	1.a	$1$	$1$	$1$	$16.289$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{9}-2q^{13}-q^{15}+q^{17}+\cdots$
2040.2.a.g	$2040$	$2$	2040.a	1.a	$1$	$1$	$1$	$16.289$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$1$	$3$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+3q^{7}+q^{9}-q^{11}-6q^{13}+\cdots$
2040.2.a.h	$2040$	$2$	2040.a	1.a	$1$	$1$	$1$	$16.289$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$-1$	$-4$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-4q^{7}+q^{9}+2q^{13}-q^{15}+\cdots$
2040.2.a.i	$2040$	$2$	2040.a	1.a	$1$	$1$	$1$	$16.289$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$-1$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-3q^{7}+q^{9}+5q^{11}-2q^{13}+\cdots$
2040.2.a.j	$2040$	$2$	2040.a	1.a	$1$	$1$	$1$	$16.289$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}+q^{9}-5q^{11}+4q^{13}+\cdots$
2040.2.a.k	$2040$	$2$	2040.a	1.a	$1$	$1$	$1$	$16.289$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$-1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{9}-4q^{11}-2q^{13}+\cdots$
2040.2.a.l	$2040$	$2$	2040.a	1.a	$1$	$1$	$1$	$16.289$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}+5q^{11}+2q^{13}+\cdots$
2040.2.a.m	$2040$	$2$	2040.a	1.a	$1$	$1$	$1$	$16.289$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$1$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-3q^{7}+q^{9}-q^{11}-6q^{13}+\cdots$
2040.2.a.n	$2040$	$2$	2040.a	1.a	$1$	$1$	$1$	$16.289$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$1$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-2q^{7}+q^{9}+q^{15}-q^{17}+\cdots$
2040.2.a.o	$2040$	$2$	2040.a	1.a	$1$	$1$	$1$	$16.289$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-q^{7}+q^{9}-3q^{11}-4q^{13}+\cdots$
2040.2.a.p	$2040$	$2$	2040.a	1.a	$1$	$1$	$1$	$16.289$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$1$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+2q^{7}+q^{9}+4q^{11}+4q^{13}+\cdots$
2040.2.a.q	$2040$	$2$	2040.a	1.a	$1$	$1$	$1$	$16.289$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$1$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+3q^{7}+q^{9}+5q^{11}+q^{15}+\cdots$
2040.2.a.r	$2040$	$2$	2040.a	1.a	$1$	$2$	$2$	$16.289$	$\Q(\sqrt{17}) $	$_{}$	None	None	✓	$1$	$1$	$0$	$-2$	$-2$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-\beta q^{7}+q^{9}+\beta q^{11}-2q^{13}+\cdots$
2040.2.a.s	$2040$	$2$	2040.a	1.a	$1$	$2$	$2$	$16.289$	$\Q(\sqrt{73}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$-2$	$-2$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-\beta q^{7}+q^{9}+(2-\beta )q^{11}+\cdots$
2040.2.a.t	$2040$	$2$	2040.a	1.a	$1$	$2$	$2$	$16.289$	$\Q(\sqrt{17}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$-2$	$-2$	$5$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+(3-\beta )q^{7}+q^{9}+(1-\beta )q^{11}+\cdots$
2040.2.a.u	$2040$	$2$	2040.a	1.a	$1$	$2$	$2$	$16.289$	$\Q(\sqrt{33}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$-2$	$2$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+\beta q^{7}+q^{9}+(-4+\beta )q^{11}+\cdots$
2040.2.a.v	$2040$	$2$	2040.a	1.a	$1$	$2$	$2$	$16.289$	$\Q(\sqrt{17}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$2$	$-2$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-\beta q^{7}+q^{9}-\beta q^{11}+(-2+\cdots)q^{13}+\cdots$
2040.2.a.w	$2040$	$2$	2040.a	1.a	$1$	$2$	$2$	$16.289$	$\Q(\sqrt{33}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$2$	$2$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+\beta q^{7}+q^{9}-\beta q^{11}-2q^{13}+\cdots$
2040.2.a.x	$2040$	$2$	2040.a	1.a	$1$	$3$	$3$	$16.289$	3.3.316.1	$_{}$	None	None	✓	$1$	$0$	$0$	$-3$	$3$	$3$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+(1+\beta _{1})q^{7}+q^{9}+(2-2\beta _{1}+\cdots)q^{11}+\cdots$
2040.2.h.a	$2040$	$2$	2040.h	17.b	$2$	$2$	$2$	$16.289$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{3}-iq^{5}+4iq^{7}-q^{9}-4iq^{11}+\cdots$
2040.2.h.b	$2040$	$2$	2040.h	17.b	$2$	$2$	$2$	$16.289$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{3}+iq^{5}+4iq^{7}-q^{9}+4iq^{11}+\cdots$
2040.2.h.c	$2040$	$2$	2040.h	17.b	$2$	$2$	$2$	$16.289$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$1$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-iq^{3}+iq^{5}+4iq^{7}-q^{9}-2q^{13}+\cdots$
2040.2.h.d	$2040$	$2$	2040.h	17.b	$2$	$2$	$2$	$16.289$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{3}-iq^{5}+2iq^{7}-q^{9}-2q^{13}+\cdots$
2040.2.h.e	$2040$	$2$	2040.h	17.b	$2$	$2$	$2$	$16.289$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{3}-iq^{5}+iq^{7}-q^{9}-5iq^{11}+\cdots$
2040.2.h.f	$2040$	$2$	2040.h	17.b	$2$	$2$	$2$	$16.289$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{3}+iq^{5}+iq^{7}-q^{9}-3iq^{11}+\cdots$
2040.2.h.g	$2040$	$2$	2040.h	17.b	$2$	$4$	$4$	$16.289$	$\Q(i, \sqrt{41})$	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{2}q^{3}+\beta _{2}q^{5}+\beta _{1}q^{7}-q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots$
2040.2.h.h	$2040$	$2$	2040.h	17.b	$2$	$4$	$4$	$16.289$	$\Q(i, \sqrt{17})$	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{2}q^{3}+\beta _{2}q^{5}+(\beta _{1}-\beta _{2})q^{7}-q^{9}+\cdots$

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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.