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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 72 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
3465.1.e.a	$3465$	$1$	3465.e	1155.e	$2$	$8$	$8$	$1.729$	$\Q(\zeta_{16})$	$D_{8}$	$\Q(\sqrt{-55}) $	None		$8$	$0$	$0$	$0$	$-8$	$0$		$1$		$q+(-\zeta_{16}^{3}-\zeta_{16}^{5})q^{2}+(-1-\zeta_{16}^{2}+\cdots)q^{4}+\cdots$
3465.1.e.b	$3465$	$1$	3465.e	1155.e	$2$	$8$	$8$	$1.729$	$\Q(\zeta_{16})$	$D_{8}$	$\Q(\sqrt{-55}) $	None		$8$	$0$	$0$	$0$	$8$	$0$		$1$		$q+(\zeta_{16}^{3}+\zeta_{16}^{5})q^{2}+(-1-\zeta_{16}^{2}+\cdots)q^{4}+\cdots$
3465.1.u.a	$3465$	$1$	3465.u	385.l	$4$	$4$	$2$	$1.729$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-231}) $	None		$8$	$0$	$-4$	$0$	$0$	$0$		$1$		$q+(-1+\zeta_{8}^{2})q^{2}-\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{5}+\cdots$
3465.1.u.b	$3465$	$1$	3465.u	385.l	$4$	$4$	$2$	$1.729$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-231}) $	None		$8$	$0$	$4$	$0$	$0$	$0$		$1$		$q+(1-\zeta_{8}^{2})q^{2}-\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{5}+\cdots$
3465.1.u.c	$3465$	$1$	3465.u	385.l	$4$	$8$	$4$	$1.729$	$\Q(\zeta_{24})$	$D_{12}$	$\Q(\sqrt{-231}) $	None		$8$	$0$	$-4$	$0$	$0$	$0$		$1$		$q+(-\zeta_{24}^{2}-\zeta_{24}^{4})q^{2}+(\zeta_{24}^{4}+\zeta_{24}^{6}+\cdots)q^{4}+\cdots$
3465.1.u.d	$3465$	$1$	3465.u	385.l	$4$	$8$	$4$	$1.729$	$\Q(\zeta_{24})$	$D_{12}$	$\Q(\sqrt{-231}) $	None		$8$	$0$	$4$	$0$	$0$	$0$		$1$		$q+(\zeta_{24}^{2}+\zeta_{24}^{4})q^{2}+(\zeta_{24}^{4}+\zeta_{24}^{6}+\cdots)q^{4}+\cdots$
3465.1.br.a	$3465$	$1$	3465.br	3465.ar	$6$	$4$	$2$	$1.729$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$-2$	$0$	$0$	$-4$		$1$		$q+\zeta_{12}^{4}q^{2}-\zeta_{12}^{3}q^{3}+\zeta_{12}^{3}q^{5}+\cdots$
3465.1.br.b	$3465$	$1$	3465.br	3465.ar	$6$	$4$	$2$	$1.729$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$2$	$0$	$0$	$4$		$1$		$q-\zeta_{12}^{4}q^{2}-\zeta_{12}^{3}q^{3}+\zeta_{12}^{3}q^{5}+\cdots$
3465.1.cd.a	$3465$	$1$	3465.cd	385.q	$6$	$2$	$1$	$1.729$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-55}) $	None		$4$	$0$	$-1$	$0$	$1$	$2$		$1$		$q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{5}+q^{7}-q^{8}+\zeta_{6}q^{10}+\cdots$
3465.1.cd.b	$3465$	$1$	3465.cd	385.q	$6$	$2$	$1$	$1.729$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-55}) $	None		$4$	$0$	$1$	$0$	$1$	$-2$		$1$		$q-\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{5}-q^{7}+q^{8}-\zeta_{6}q^{10}+\cdots$
3465.1.cd.c	$3465$	$1$	3465.cd	385.q	$6$	$4$	$2$	$1.729$	$\Q(\zeta_{12})$	$D_{6}$	$\Q(\sqrt{-55}) $	None		$8$	$0$	$0$	$0$	$-2$	$0$		$1$		$q+(-\zeta_{12}-\zeta_{12}^{3})q^{2}+(-1+\zeta_{12}^{2}+\cdots)q^{4}+\cdots$
3465.1.cd.d	$3465$	$1$	3465.cd	385.q	$6$	$8$	$4$	$1.729$	$\Q(\zeta_{24})$	$D_{12}$	$\Q(\sqrt{-55}) $	None		$8$	$0$	$0$	$0$	$-4$	$0$		$1$		$q+(-\zeta_{24}^{9}+\zeta_{24}^{11})q^{2}+(-\zeta_{24}^{6}+\cdots)q^{4}+\cdots$
3465.1.cd.e	$3465$	$1$	3465.cd	385.q	$6$	$8$	$4$	$1.729$	$\Q(\zeta_{24})$	$D_{12}$	$\Q(\sqrt{-55}) $	None		$8$	$0$	$0$	$0$	$4$	$0$		$1$		$q+(-\zeta_{24}^{3}-\zeta_{24}^{5})q^{2}+(\zeta_{24}^{6}+\zeta_{24}^{8}+\cdots)q^{4}+\cdots$
3465.1.cg.a	$3465$	$1$	3465.cg	1155.ah	$6$	$16$	$8$	$1.729$	$\Q(\zeta_{48})$	$D_{24}$	$\Q(\sqrt{-55}) $	None		$8$	$0$	$0$	$0$	$-8$	$0$		$1$		$q+(\zeta_{48}^{3}+\zeta_{48}^{5})q^{2}+(\zeta_{48}^{6}+\zeta_{48}^{8}+\cdots)q^{4}+\cdots$
3465.1.cg.b	$3465$	$1$	3465.cg	1155.ah	$6$	$16$	$8$	$1.729$	$\Q(\zeta_{48})$	$D_{24}$	$\Q(\sqrt{-55}) $	None		$8$	$0$	$0$	$0$	$8$	$0$		$1$		$q+(-\zeta_{48}^{3}-\zeta_{48}^{5})q^{2}+(\zeta_{48}^{6}+\zeta_{48}^{8}+\cdots)q^{4}+\cdots$
3465.1.cz.a	$3465$	$1$	3465.cz	3465.bz	$6$	$4$	$2$	$1.729$	$\Q(\zeta_{12})$	$D_{6}$	$\Q(\sqrt{-35}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{12}^{3}q^{3}-\zeta_{12}^{2}q^{4}-\zeta_{12}^{5}q^{5}+\cdots$
3465.1.cz.b	$3465$	$1$	3465.cz	3465.bz	$6$	$4$	$2$	$1.729$	$\Q(\zeta_{12})$	$D_{6}$	$\Q(\sqrt{-35}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{12}^{3}q^{3}-\zeta_{12}^{2}q^{4}-\zeta_{12}^{5}q^{5}+\cdots$
3465.1.de.a	$3465$	$1$	3465.de	3465.ce	$6$	$4$	$2$	$1.729$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$-4$	$0$	$0$	$-2$		$1$		$q-q^{2}-\zeta_{12}q^{3}+\zeta_{12}^{5}q^{5}+\zeta_{12}q^{6}+\cdots$
3465.1.de.b	$3465$	$1$	3465.de	3465.ce	$6$	$4$	$2$	$1.729$	$\Q(\zeta_{12})$	$A_{4}$	None	None		$4$	$0$	$4$	$0$	$0$	$2$		$1$		$q+q^{2}-\zeta_{12}q^{3}+\zeta_{12}^{5}q^{5}-\zeta_{12}q^{6}+\cdots$
3465.1.dt.a	$3465$	$1$	3465.dt	385.y	$10$	$4$	$1$	$1.729$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-35}) $	None		$4$	$0$	$0$	$0$	$-1$	$1$		$1$		$q-\zeta_{10}^{3}q^{4}-\zeta_{10}q^{5}+\zeta_{10}^{3}q^{7}-\zeta_{10}^{4}q^{11}+\cdots$
3465.1.dt.b	$3465$	$1$	3465.dt	385.y	$10$	$4$	$1$	$1.729$	$\Q(\zeta_{10})$	$D_{5}$	$\Q(\sqrt{-35}) $	None		$4$	$0$	$0$	$0$	$1$	$-1$		$1$		$q-\zeta_{10}^{3}q^{4}+\zeta_{10}q^{5}-\zeta_{10}^{3}q^{7}-\zeta_{10}^{4}q^{11}+\cdots$
3465.1.gd.a	$3465$	$1$	3465.gd	3465.fd	$30$	$16$	$2$	$1.729$	$\Q(\zeta_{60})$	$D_{30}$	$\Q(\sqrt{-35}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\zeta_{60}^{15}q^{3}-\zeta_{60}^{22}q^{4}+\zeta_{60}^{19}q^{5}+\cdots$
3465.1.gd.b	$3465$	$1$	3465.gd	3465.fd	$30$	$16$	$2$	$1.729$	$\Q(\zeta_{60})$	$D_{30}$	$\Q(\sqrt{-35}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{60}^{21}q^{3}-\zeta_{60}^{22}q^{4}+\zeta_{60}^{19}q^{5}+\cdots$
3465.1.gm.a	$3465$	$1$	3465.gm	3465.fm	$30$	$8$	$1$	$1.729$	$\Q(\zeta_{15})$	$D_{15}$	$\Q(\sqrt{-35}) $	None		$4$	$0$	$0$	$-8$	$-1$	$-1$		$1$		$q-q^{3}-\zeta_{30}^{13}q^{4}+\zeta_{30}q^{5}-\zeta_{30}^{8}q^{7}+\cdots$
3465.1.gm.b	$3465$	$1$	3465.gm	3465.fm	$30$	$8$	$1$	$1.729$	$\Q(\zeta_{15})$	$D_{15}$	$\Q(\sqrt{-35}) $	None		$4$	$0$	$0$	$-2$	$1$	$1$		$1$		$q-\zeta_{30}^{9}q^{3}-\zeta_{30}^{13}q^{4}-\zeta_{30}q^{5}+\cdots$
3465.1.gm.c	$3465$	$1$	3465.gm	3465.fm	$30$	$8$	$1$	$1.729$	$\Q(\zeta_{15})$	$D_{15}$	$\Q(\sqrt{-35}) $	None		$4$	$0$	$0$	$2$	$-1$	$-1$		$1$		$q+\zeta_{30}^{9}q^{3}-\zeta_{30}^{13}q^{4}+\zeta_{30}q^{5}+\cdots$
3465.1.gm.d	$3465$	$1$	3465.gm	3465.fm	$30$	$8$	$1$	$1.729$	$\Q(\zeta_{15})$	$D_{15}$	$\Q(\sqrt{-35}) $	None		$4$	$0$	$0$	$8$	$1$	$1$		$1$		$q+q^{3}-\zeta_{30}^{13}q^{4}-\zeta_{30}q^{5}+\zeta_{30}^{8}q^{7}+\cdots$
3465.2.a.a	$3465$	$2$	3465.a	1.a	$1$	$1$	$1$	$27.668$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$-2$	$0$	$1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{2}+2q^{4}+q^{5}-q^{7}-2q^{10}+\cdots$
3465.2.a.b	$3465$	$2$	3465.a	1.a	$1$	$1$	$1$	$27.668$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$-1$	$0$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-q^{5}+q^{7}+3q^{8}+q^{10}+\cdots$
3465.2.a.c	$3465$	$2$	3465.a	1.a	$1$	$1$	$1$	$27.668$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$-1$	$0$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}-q^{5}+q^{7}+3q^{8}+q^{10}+\cdots$
3465.2.a.d	$3465$	$2$	3465.a	1.a	$1$	$1$	$1$	$27.668$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$-1$	$0$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+q^{5}-q^{7}+3q^{8}-q^{10}+\cdots$
3465.2.a.e	$3465$	$2$	3465.a	1.a	$1$	$1$	$1$	$27.668$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$-1$	$0$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+q^{5}-q^{7}+3q^{8}-q^{10}+\cdots$
3465.2.a.f	$3465$	$2$	3465.a	1.a	$1$	$1$	$1$	$27.668$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$-1$	$0$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+q^{5}+q^{7}+3q^{8}-q^{10}+\cdots$
3465.2.a.g	$3465$	$2$	3465.a	1.a	$1$	$1$	$1$	$27.668$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$-1$	$0$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}-q^{4}+q^{5}+q^{7}+3q^{8}-q^{10}+\cdots$
3465.2.a.h	$3465$	$2$	3465.a	1.a	$1$	$1$	$1$	$27.668$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}-q^{5}-q^{7}+q^{11}-4q^{13}+\cdots$
3465.2.a.i	$3465$	$2$	3465.a	1.a	$1$	$1$	$1$	$27.668$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+q^{5}+q^{7}-q^{11}+4q^{16}+\cdots$
3465.2.a.j	$3465$	$2$	3465.a	1.a	$1$	$1$	$1$	$27.668$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{4}+q^{5}+q^{7}+q^{11}-4q^{13}+\cdots$
3465.2.a.k	$3465$	$2$	3465.a	1.a	$1$	$1$	$1$	$27.668$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$1$	$0$	$-1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-q^{5}-q^{7}-3q^{8}-q^{10}+\cdots$
3465.2.a.l	$3465$	$2$	3465.a	1.a	$1$	$1$	$1$	$27.668$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$1$	$0$	$-1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-q^{5}-q^{7}-3q^{8}-q^{10}+\cdots$
3465.2.a.m	$3465$	$2$	3465.a	1.a	$1$	$1$	$1$	$27.668$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$1$	$0$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-q^{5}-q^{7}-3q^{8}-q^{10}+\cdots$
3465.2.a.n	$3465$	$2$	3465.a	1.a	$1$	$1$	$1$	$27.668$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$1$	$0$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-q^{5}+q^{7}-3q^{8}-q^{10}+\cdots$
3465.2.a.o	$3465$	$2$	3465.a	1.a	$1$	$1$	$1$	$27.668$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$1$	$0$	$-1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-q^{5}+q^{7}-3q^{8}-q^{10}+\cdots$
3465.2.a.p	$3465$	$2$	3465.a	1.a	$1$	$1$	$1$	$27.668$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$1$	$0$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}-q^{5}+q^{7}-3q^{8}-q^{10}+\cdots$
3465.2.a.q	$3465$	$2$	3465.a	1.a	$1$	$1$	$1$	$27.668$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$1$	$0$	$1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}-q^{4}+q^{5}-q^{7}-3q^{8}+q^{10}+\cdots$
3465.2.a.r	$3465$	$2$	3465.a	1.a	$1$	$1$	$1$	$27.668$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$2$	$0$	$-1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-q^{5}+q^{7}-2q^{10}+\cdots$
3465.2.a.s	$3465$	$2$	3465.a	1.a	$1$	$1$	$1$	$27.668$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$2$	$0$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}-q^{5}+q^{7}-2q^{10}+\cdots$
3465.2.a.t	$3465$	$2$	3465.a	1.a	$1$	$1$	$1$	$27.668$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$2$	$0$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{2}+2q^{4}+q^{5}-q^{7}+2q^{10}+\cdots$
3465.2.a.u	$3465$	$2$	3465.a	1.a	$1$	$2$	$2$	$27.668$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$1$	$-2$	$0$	$2$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}+q^{5}-q^{7}+\cdots$
3465.2.a.v	$3465$	$2$	3465.a	1.a	$1$	$2$	$2$	$27.668$	$\Q(\sqrt{3}) $	$_{}$	None	None	✓	$1$	$1$	$-2$	$0$	$2$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}+(2-2\beta )q^{4}+q^{5}+q^{7}+\cdots$
3465.2.a.w	$3465$	$2$	3465.a	1.a	$1$	$2$	$2$	$27.668$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$2$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+q^{5}-q^{7}-2\beta q^{8}+\beta q^{10}+\cdots$

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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.