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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 96 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
2940.1.e.a	$2940$	$1$	2940.e	15.d	$2$	$2$	$2$	$1.467$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-35}) $	None		$4$	$0$	$0$	$-1$	$2$	$0$		$1$		$q+\zeta_{6}^{2}q^{3}+q^{5}-\zeta_{6}q^{9}+(\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{11}+\cdots$
2940.1.e.b	$2940$	$1$	2940.e	15.d	$2$	$2$	$2$	$1.467$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-35}) $	None		$4$	$0$	$0$	$1$	$-2$	$0$		$1$		$q-\zeta_{6}^{2}q^{3}-q^{5}-\zeta_{6}q^{9}+(\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{11}+\cdots$
2940.1.o.a	$2940$	$1$	2940.o	420.o	$2$	$4$	$4$	$1.467$	$\Q(\zeta_{12})$	$D_{6}$	$\Q(\sqrt{-5}) $	None		$8$	$0$	$0$	$0$	$-4$	$0$		$1$		$q-\zeta_{12}^{3}q^{2}+\zeta_{12}^{5}q^{3}-q^{4}-q^{5}+\cdots$
2940.1.o.b	$2940$	$1$	2940.o	420.o	$2$	$4$	$4$	$1.467$	$\Q(\zeta_{12})$	$D_{6}$	$\Q(\sqrt{-5}) $	None		$8$	$0$	$0$	$0$	$4$	$0$		$1$		$q+\zeta_{12}^{3}q^{2}+\zeta_{12}q^{3}-q^{4}+q^{5}+\zeta_{12}^{4}q^{6}+\cdots$
2940.1.o.c	$2940$	$1$	2940.o	420.o	$2$	$8$	$8$	$1.467$	$\Q(\zeta_{16})$	$D_{8}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$-8$	$0$	$0$		$1$		$q-\zeta_{16}q^{2}-q^{3}+\zeta_{16}^{2}q^{4}-\zeta_{16}^{4}q^{5}+\cdots$
2940.1.o.d	$2940$	$1$	2940.o	420.o	$2$	$8$	$8$	$1.467$	$\Q(\zeta_{16})$	$D_{8}$	$\Q(\sqrt{-15}) $	None		$8$	$0$	$0$	$8$	$0$	$0$		$1$		$q-\zeta_{16}q^{2}+q^{3}+\zeta_{16}^{2}q^{4}+\zeta_{16}^{4}q^{5}+\cdots$
2940.1.y.a	$2940$	$1$	2940.y	60.l	$4$	$4$	$2$	$1.467$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-21}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{8}^{3}q^{2}+\zeta_{8}^{3}q^{3}-\zeta_{8}^{2}q^{4}+\zeta_{8}^{2}q^{5}+\cdots$
2940.1.y.b	$2940$	$1$	2940.y	60.l	$4$	$4$	$2$	$1.467$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-21}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{3}q^{3}-\zeta_{8}^{2}q^{4}-\zeta_{8}^{2}q^{5}+\cdots$
2940.1.be.a	$2940$	$1$	2940.be	420.ae	$6$	$4$	$2$	$1.467$	$\Q(\zeta_{12})$	$D_{6}$	$\Q(\sqrt{-5}) $	None		$8$	$0$	$0$	$0$	$-2$	$0$		$1$		$q-\zeta_{12}^{5}q^{2}-\zeta_{12}^{3}q^{3}-\zeta_{12}^{4}q^{4}+\cdots$
2940.1.be.b	$2940$	$1$	2940.be	420.ae	$6$	$4$	$2$	$1.467$	$\Q(\zeta_{12})$	$D_{2}$	$\Q(\sqrt{-5}) $, $\Q(\sqrt{-21}) $	$\Q(\sqrt{105}) $		$16$	$0$	$0$	$0$	$-2$	$0$		$1$		$q-\zeta_{12}^{5}q^{2}+\zeta_{12}q^{3}-\zeta_{12}^{4}q^{4}-\zeta_{12}^{2}q^{5}+\cdots$
2940.1.be.c	$2940$	$1$	2940.be	420.ae	$6$	$4$	$2$	$1.467$	$\Q(\zeta_{12})$	$D_{2}$	$\Q(\sqrt{-5}) $, $\Q(\sqrt{-21}) $	$\Q(\sqrt{105}) $		$16$	$0$	$0$	$0$	$2$	$0$		$1$		$q-\zeta_{12}^{5}q^{2}-\zeta_{12}q^{3}-\zeta_{12}^{4}q^{4}+\zeta_{12}^{2}q^{5}+\cdots$
2940.1.be.d	$2940$	$1$	2940.be	420.ae	$6$	$4$	$2$	$1.467$	$\Q(\zeta_{12})$	$D_{6}$	$\Q(\sqrt{-5}) $	None		$8$	$0$	$0$	$0$	$2$	$0$		$1$		$q+\zeta_{12}^{5}q^{2}+\zeta_{12}^{5}q^{3}-\zeta_{12}^{4}q^{4}+\cdots$
2940.1.be.e	$2940$	$1$	2940.be	420.ae	$6$	$16$	$8$	$1.467$	$\Q(\zeta_{48})$	$D_{8}$	$\Q(\sqrt{-15}) $	None		$16$	$0$	$0$	$-8$	$0$	$0$		$1$		$q+\zeta_{48}^{11}q^{2}+\zeta_{48}^{16}q^{3}+\zeta_{48}^{22}q^{4}+\cdots$
2940.1.be.f	$2940$	$1$	2940.be	420.ae	$6$	$16$	$8$	$1.467$	$\Q(\zeta_{48})$	$D_{8}$	$\Q(\sqrt{-15}) $	None		$16$	$0$	$0$	$8$	$0$	$0$		$1$		$q-\zeta_{48}^{11}q^{2}-\zeta_{48}^{16}q^{3}+\zeta_{48}^{22}q^{4}+\cdots$
2940.1.bg.a	$2940$	$1$	2940.bg	105.o	$6$	$2$	$1$	$1.467$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-35}) $	None		$4$	$0$	$0$	$-2$	$1$	$0$		$1$		$q-q^{3}+\zeta_{6}q^{5}+q^{9}+(1+\zeta_{6})q^{11}+\cdots$
2940.1.bg.b	$2940$	$1$	2940.bg	105.o	$6$	$2$	$1$	$1.467$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-35}) $	None		$4$	$0$	$0$	$-1$	$-1$	$0$		$1$		$q-\zeta_{6}q^{3}-\zeta_{6}q^{5}+\zeta_{6}^{2}q^{9}+(-1-\zeta_{6}+\cdots)q^{11}+\cdots$
2940.1.bg.c	$2940$	$1$	2940.bg	105.o	$6$	$2$	$1$	$1.467$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-35}) $	None		$4$	$0$	$0$	$1$	$1$	$0$		$1$		$q+\zeta_{6}q^{3}+\zeta_{6}q^{5}+\zeta_{6}^{2}q^{9}+(-1-\zeta_{6}+\cdots)q^{11}+\cdots$
2940.1.bg.d	$2940$	$1$	2940.bg	105.o	$6$	$2$	$1$	$1.467$	$\Q(\sqrt{-3}) $	$D_{6}$	$\Q(\sqrt{-35}) $	None		$4$	$0$	$0$	$2$	$-1$	$0$		$1$		$q+q^{3}-\zeta_{6}q^{5}+q^{9}+(1+\zeta_{6})q^{11}+\cdots$
2940.1.bq.a	$2940$	$1$	2940.bq	420.ap	$12$	$8$	$2$	$1.467$	$\Q(\zeta_{24})$	$D_{4}$	$\Q(\sqrt{-21}) $	None		$16$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{24}^{5}q^{2}+\zeta_{24}q^{3}+\zeta_{24}^{10}q^{4}+\cdots$
2940.1.bq.b	$2940$	$1$	2940.bq	420.ap	$12$	$8$	$2$	$1.467$	$\Q(\zeta_{24})$	$D_{4}$	$\Q(\sqrt{-21}) $	None		$16$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{24}^{5}q^{2}+\zeta_{24}q^{3}+\zeta_{24}^{10}q^{4}+\cdots$
2940.1.bz.a	$2940$	$1$	2940.bz	2940.az	$14$	$12$	$2$	$1.467$	$\Q(\zeta_{28})$	$D_{14}$	$\Q(\sqrt{-5}) $	None		$8$	$0$	$0$	$0$	$-2$	$0$		$1$		$q-\zeta_{28}^{5}q^{2}-\zeta_{28}^{7}q^{3}+\zeta_{28}^{10}q^{4}+\cdots$
2940.1.bz.b	$2940$	$1$	2940.bz	2940.az	$14$	$12$	$2$	$1.467$	$\Q(\zeta_{28})$	$D_{14}$	$\Q(\sqrt{-5}) $	None		$8$	$0$	$0$	$0$	$2$	$0$		$1$		$q+\zeta_{28}^{5}q^{2}+\zeta_{28}^{9}q^{3}+\zeta_{28}^{10}q^{4}+\cdots$
2940.1.dd.a	$2940$	$1$	2940.dd	2940.cd	$42$	$24$	$2$	$1.467$	$\Q(\zeta_{84})$	$D_{42}$	$\Q(\sqrt{-5}) $	None		$8$	$0$	$0$	$0$	$-2$	$0$		$1$		$q-\zeta_{84}^{37}q^{2}-\zeta_{84}^{33}q^{3}-\zeta_{84}^{32}q^{4}+\cdots$
2940.1.dd.b	$2940$	$1$	2940.dd	2940.cd	$42$	$24$	$2$	$1.467$	$\Q(\zeta_{84})$	$D_{42}$	$\Q(\sqrt{-5}) $	None		$8$	$0$	$0$	$0$	$2$	$0$		$1$		$q+\zeta_{84}^{37}q^{2}+\zeta_{84}^{7}q^{3}-\zeta_{84}^{32}q^{4}+\cdots$
2940.2.a.a	$2940$	$2$	2940.a	1.a	$1$	$1$	$1$	$23.476$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$-1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{9}-6q^{11}+q^{15}+6q^{17}+\cdots$
2940.2.a.b	$2940$	$2$	2940.a	1.a	$1$	$1$	$1$	$23.476$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$-1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{9}-4q^{11}+7q^{13}+\cdots$
2940.2.a.c	$2940$	$2$	2940.a	1.a	$1$	$1$	$1$	$23.476$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$-1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{9}+2q^{11}-4q^{13}+\cdots$
2940.2.a.d	$2940$	$2$	2940.a	1.a	$1$	$1$	$1$	$23.476$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{9}-2q^{11}+q^{13}-q^{15}+\cdots$
2940.2.a.e	$2940$	$2$	2940.a	1.a	$1$	$1$	$1$	$23.476$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{9}+2q^{11}-4q^{13}+\cdots$
2940.2.a.f	$2940$	$2$	2940.a	1.a	$1$	$1$	$1$	$23.476$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{9}+6q^{11}+4q^{13}+\cdots$
2940.2.a.g	$2940$	$2$	2940.a	1.a	$1$	$1$	$1$	$23.476$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$-1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{9}-2q^{11}-4q^{13}+\cdots$
2940.2.a.h	$2940$	$2$	2940.a	1.a	$1$	$1$	$1$	$23.476$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$-1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{9}-2q^{11}-q^{13}-q^{15}+\cdots$
2940.2.a.i	$2940$	$2$	2940.a	1.a	$1$	$1$	$1$	$23.476$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$-1$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{9}+2q^{11}+4q^{13}+\cdots$
2940.2.a.j	$2940$	$2$	2940.a	1.a	$1$	$1$	$1$	$23.476$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{9}-6q^{11}+q^{15}-6q^{17}+\cdots$
2940.2.a.k	$2940$	$2$	2940.a	1.a	$1$	$1$	$1$	$23.476$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{9}-4q^{11}-7q^{13}+\cdots$
2940.2.a.l	$2940$	$2$	2940.a	1.a	$1$	$1$	$1$	$23.476$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$1$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{9}+2q^{11}-4q^{13}+\cdots$
2940.2.a.m	$2940$	$2$	2940.a	1.a	$1$	$2$	$2$	$23.476$	$\Q(\sqrt{7}) $	$_{}$	None	None	✓	$1$	$1$	$0$	$-2$	$-2$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{9}+(1+\beta )q^{11}-\beta q^{13}+\cdots$
2940.2.a.n	$2940$	$2$	2940.a	1.a	$1$	$2$	$2$	$23.476$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$-2$	$-2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{9}+(2+2\beta )q^{11}+q^{15}+\cdots$
2940.2.a.o	$2940$	$2$	2940.a	1.a	$1$	$2$	$2$	$23.476$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$1$	$0$	$-2$	$2$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{9}-2q^{11}+2\beta q^{13}+\cdots$
2940.2.a.p	$2940$	$2$	2940.a	1.a	$1$	$2$	$2$	$23.476$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$-2$	$2$	$0$	$-$	$3$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{9}+\beta q^{11}+(1+\beta )q^{13}+\cdots$
2940.2.a.q	$2940$	$2$	2940.a	1.a	$1$	$2$	$2$	$23.476$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$1$	$0$	$2$	$-2$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{9}-2q^{11}-2\beta q^{13}+\cdots$
2940.2.a.r	$2940$	$2$	2940.a	1.a	$1$	$2$	$2$	$23.476$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$1$	$0$	$2$	$-2$	$0$	$+$	$3$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{9}+\beta q^{11}+(-1-\beta )q^{13}+\cdots$
2940.2.a.s	$2940$	$2$	2940.a	1.a	$1$	$2$	$2$	$23.476$	$\Q(\sqrt{7}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$2$	$2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{9}+(1+\beta )q^{11}+\beta q^{13}+\cdots$
2940.2.a.t	$2940$	$2$	2940.a	1.a	$1$	$2$	$2$	$23.476$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$2$	$2$	$0$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{9}+(2+2\beta )q^{11}+q^{15}+\cdots$
2940.2.d.a	$2940$	$2$	2940.d	21.c	$2$	$10$	$10$	$23.476$	10.0.$\cdots$.1	$_{}$	None	None		$2$	$0$	$0$	$-2$	$-10$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{5}q^{3}-q^{5}+(-\beta _{4}-\beta _{6}+\beta _{8})q^{9}+\cdots$
2940.2.d.b	$2940$	$2$	2940.d	21.c	$2$	$10$	$10$	$23.476$	10.0.$\cdots$.1	$_{}$	None	None		$2$	$0$	$0$	$2$	$10$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{5}q^{3}+q^{5}+(-\beta _{4}-\beta _{6}+\beta _{8})q^{9}+\cdots$
2940.2.d.c	$2940$	$2$	2940.d	21.c	$2$	$16$	$16$	$23.476$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$-4$	$16$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{1}q^{3}+q^{5}+(\beta _{1}+\beta _{2}-\beta _{3}-\beta _{4}+\cdots)q^{9}+\cdots$
2940.2.d.d	$2940$	$2$	2940.d	21.c	$2$	$16$	$16$	$23.476$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$4$	$-16$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{3}-q^{5}+(\beta _{1}+\beta _{2}-\beta _{3}-\beta _{4}+\cdots)q^{9}+\cdots$
2940.2.f.a	$2940$	$2$	2940.f	105.g	$2$	$32$	$32$	$23.476$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
2940.2.f.b	$2940$	$2$	2940.f	105.g	$2$	$48$	$48$	$23.476$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$

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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.