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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 2395 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				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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
84.2.n.a	$84$	$2$	84.n	84.n	$6$	$24$	$12$	$0.671$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
96.2.o.a	$96$	$2$	96.o	96.o	$8$	$56$	$14$	$0.767$		$_{}$	None	None		$4$	$0$	$0$	$-4$	$0$	$-8$		$\mathrm{SU}(2)[C_{8}]$
104.2.r.a	$104$	$2$	104.r	104.r	$6$	$24$	$12$	$0.830$		$_{}$	None	None		$4$	$0$	$-1$	$0$	$0$	$-2$		$\mathrm{SU}(2)[C_{6}]$
105.2.p.a	$105$	$2$	105.p	105.p	$6$	$24$	$12$	$0.838$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
1719.1.g.c	$1719$	$1$	1719.g	1719.g	$6$	$24$	$12$	$0.858$	$\Q(\zeta_{39})$	$D_{39}$	$\Q(\sqrt{-191}) $	None		$4$	$0$	$2$	$1$	$-1$	$0$	$1$		$q+(-\zeta_{78}^{7}-\zeta_{78}^{19})q^{2}-\zeta_{78}^{37}q^{3}+\cdots$
117.2.l.b	$117$	$2$	117.l	117.l	$6$	$22$	$11$	$0.934$		$_{}$	None	None		$2$	$0$	$0$	$-1$	$-3$	$-6$		$\mathrm{SU}(2)[C_{6}]$
117.2.r.b	$117$	$2$	117.r	117.r	$6$	$22$	$11$	$0.934$		$_{}$	None	None		$2$	$0$	$0$	$2$	$3$	$0$		$\mathrm{SU}(2)[C_{6}]$
1953.1.db.a	$1953$	$1$	1953.db	651.ae	$6$	$24$	$12$	$0.975$	$\Q(\zeta_{72})$	$D_{36}$	$\Q(\sqrt{-31}) $	None		$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{72}^{23}+\zeta_{72}^{25})q^{2}+(-\zeta_{72}^{10}+\cdots)q^{4}+\cdots$
123.2.i.a	$123$	$2$	123.i	123.i	$8$	$48$	$12$	$0.982$		$_{}$	None	None		$4$	$0$	$0$	$-8$	$0$	$-8$		$\mathrm{SU}(2)[C_{8}]$
124.2.g.a	$124$	$2$	124.g	124.g	$6$	$28$	$14$	$0.990$		$_{}$	None	None		$4$	$0$	$-4$	$0$	$-2$	$0$		$\mathrm{SU}(2)[C_{6}]$
124.2.j.b	$124$	$2$	124.j	124.j	$10$	$48$	$12$	$0.990$		$_{}$	None	None		$4$	$0$	$-1$	$0$	$-12$	$0$		$\mathrm{SU}(2)[C_{10}]$
129.2.h.b	$129$	$2$	129.h	129.h	$6$	$24$	$12$	$1.030$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
132.2.j.a	$132$	$2$	132.j	44.g	$10$	$48$	$12$	$1.054$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{10}]$
132.2.o.c	$132$	$2$	132.o	132.o	$10$	$64$	$16$	$1.054$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{10}]$
133.2.u.a	$133$	$2$	133.u	133.u	$9$	$66$	$11$	$1.062$		$_{}$	None	None		$2$	$0$	$-3$	$-3$	$-3$	$0$		$\mathrm{SU}(2)[C_{9}]$
133.2.w.a	$133$	$2$	133.w	133.w	$9$	$66$	$11$	$1.062$		$_{}$	None	None		$2$	$0$	$-3$	$-3$	$-3$	$-9$		$\mathrm{SU}(2)[C_{9}]$
2151.1.f.b	$2151$	$1$	2151.f	2151.f	$6$	$24$	$12$	$1.073$	$\Q(\zeta_{45})$	$D_{45}$	$\Q(\sqrt{-239}) $	None		$4$	$0$	$0$	$3$	$0$	$0$	$1$		$q+(-\zeta_{90}^{7}-\zeta_{90}^{23})q^{2}-\zeta_{90}^{3}q^{3}+\cdots$
136.2.o.a	$136$	$2$	136.o	136.o	$8$	$64$	$16$	$1.086$		$_{}$	None	None		$4$	$0$	$-4$	$0$	$0$	$-8$		$\mathrm{SU}(2)[C_{8}]$
2177.1.g.b	$2177$	$1$	2177.g	2177.g	$6$	$36$	$18$	$1.086$	$\Q(\zeta_{57})$	$D_{57}$	$\Q(\sqrt{-311}) $	None		$4$	$0$	$-1$	$-1$	$2$	$1$	$1$		$q+(-\zeta_{114}^{9}+\zeta_{114}^{10})q^{2}+(\zeta_{114}^{44}-\zeta_{114}^{51}+\cdots)q^{3}+\cdots$
140.2.o.a	$140$	$2$	140.o	28.f	$6$	$32$	$16$	$1.118$		$_{}$	None	None		$4$	$0$	$2$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
140.2.s.b	$140$	$2$	140.s	140.s	$6$	$32$	$16$	$1.118$		$_{}$	None	None		$8$	$0$	$0$	$0$	$-6$	$0$		$\mathrm{SU}(2)[C_{6}]$
143.2.n.a	$143$	$2$	143.n	143.n	$10$	$48$	$12$	$1.142$		$_{}$	None	None		$4$	$0$	$0$	$-6$	$0$	$0$		$\mathrm{SU}(2)[C_{10}]$
2367.1.f.c	$2367$	$1$	2367.f	2367.f	$6$	$24$	$12$	$1.181$	$\Q(\zeta_{39})$	$D_{39}$	$\Q(\sqrt{-263}) $	None		$4$	$0$	$-1$	$1$	$0$	$0$	$1$		$q+(-\zeta_{78}^{25}-\zeta_{78}^{27})q^{2}-\zeta_{78}^{31}q^{3}+\cdots$
152.2.o.c	$152$	$2$	152.o	152.o	$6$	$28$	$14$	$1.214$		$_{}$	None	None		$4$	$0$	$-3$	$-6$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
152.2.p.a	$152$	$2$	152.p	152.p	$6$	$36$	$18$	$1.214$		$_{}$	None	None		$4$	$0$	$-1$	$0$	$0$	$-8$		$\mathrm{SU}(2)[C_{6}]$
153.2.h.b	$153$	$2$	153.h	153.h	$6$	$24$	$12$	$1.222$		$_{}$	None	None		$4$	$0$	$-4$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
155.2.j.a	$155$	$2$	155.j	155.j	$6$	$28$	$14$	$1.238$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
155.2.n.a	$155$	$2$	155.n	155.n	$10$	$56$	$14$	$1.238$		$_{}$	None	None		$4$	$0$	$0$	$0$	$-10$	$0$		$\mathrm{SU}(2)[C_{10}]$
2483.1.i.b	$2483$	$1$	2483.i	2483.i	$6$	$24$	$12$	$1.239$	$\Q(\zeta_{39})$	$D_{39}$	$\Q(\sqrt{-191}) $	None		$4$	$0$	$-1$	$2$	$2$	$0$	$1$		$q+(-\zeta_{78}^{25}-\zeta_{78}^{27})q^{2}+(-\zeta_{78}^{17}+\cdots)q^{3}+\cdots$
2483.1.j.b	$2483$	$1$	2483.j	2483.j	$6$	$24$	$12$	$1.239$	$\Q(\zeta_{39})$	$D_{78}$	$\Q(\sqrt{-191}) $	None		$4$	$0$	$-3$	$-2$	$0$	$0$	$1$		$q+(\zeta_{78}^{25}-\zeta_{78}^{27})q^{2}+(\zeta_{78}^{17}+\zeta_{78}^{35}+\cdots)q^{3}+\cdots$
156.2.p.b	$156$	$2$	156.p	156.p	$6$	$40$	$20$	$1.246$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
156.2.r.c	$156$	$2$	156.r	156.r	$6$	$40$	$20$	$1.246$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
160.2.x.a	$160$	$2$	160.x	32.g	$8$	$64$	$16$	$1.278$		$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{8}]$
161.2.g.a	$161$	$2$	161.g	161.g	$6$	$28$	$14$	$1.286$		$_{}$	None	None		$4$	$0$	$-4$	$-6$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
163.2.e.a	$163$	$2$	163.e	163.e	$9$	$72$	$12$	$1.302$		$_{}$	None	None		$2$	$0$	$-3$	$0$	$0$	$6$		$\mathrm{SU}(2)[C_{9}]$
164.2.i.b	$164$	$2$	164.i	164.i	$8$	$72$	$18$	$1.310$		$_{}$	None	None		$4$	$0$	$-8$	$0$	$-8$	$0$		$\mathrm{SU}(2)[C_{8}]$
165.2.p.b	$165$	$2$	165.p	33.f	$10$	$48$	$12$	$1.318$		$_{}$	None	None		$4$	$0$	$0$	$-4$	$0$	$10$		$\mathrm{SU}(2)[C_{10}]$
165.2.r.a	$165$	$2$	165.r	165.r	$10$	$80$	$20$	$1.318$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{10}]$
165.2.s.a	$165$	$2$	165.s	55.j	$10$	$48$	$12$	$1.318$		$_{}$	None	None		$4$	$0$	$0$	$0$	$-4$	$0$		$\mathrm{SU}(2)[C_{10}]$
2681.1.f.b	$2681$	$1$	2681.f	2681.f	$6$	$32$	$16$	$1.338$	$\Q(\zeta_{51})$	$D_{51}$	$\Q(\sqrt{-383}) $	None		$4$	$0$	$2$	$-1$	$0$	$-2$	$1$		$q+(-\zeta_{102}^{5}-\zeta_{102}^{29})q^{2}+(\zeta_{102}^{26}+\zeta_{102}^{42}+\cdots)q^{3}+\cdots$
168.2.t.a	$168$	$2$	168.t	56.m	$6$	$32$	$16$	$1.341$		$_{}$	None	None		$4$	$0$	$-2$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
168.2.bc.a	$168$	$2$	168.bc	56.p	$6$	$32$	$16$	$1.341$		$_{}$	None	None		$4$	$0$	$2$	$0$	$0$	$0$		$\mathrm{SU}(2)[C_{6}]$
171.2.k.a	$171$	$2$	171.k	171.k	$6$	$36$	$18$	$1.365$		$_{}$	None	None		$2$	$0$	$-3$	$-6$	$0$	$-1$		$\mathrm{SU}(2)[C_{6}]$
171.2.l.a	$171$	$2$	171.l	171.l	$6$	$36$	$18$	$1.365$		$_{}$	None	None		$4$	$0$	$0$	$0$	$-6$	$-4$		$\mathrm{SU}(2)[C_{6}]$
171.2.t.a	$171$	$2$	171.t	171.t	$6$	$36$	$18$	$1.365$		$_{}$	None	None		$2$	$0$	$-6$	$-3$	$-3$	$-1$		$\mathrm{SU}(2)[C_{6}]$
171.2.v.a	$171$	$2$	171.v	171.v	$9$	$108$	$18$	$1.365$		$_{}$	None	None		$2$	$0$	$-3$	$-12$	$-3$	$3$		$\mathrm{SU}(2)[C_{9}]$
171.2.w.a	$171$	$2$	171.w	171.w	$9$	$108$	$18$	$1.365$		$_{}$	None	None		$2$	$0$	$-3$	$-3$	$-3$	$-6$		$\mathrm{SU}(2)[C_{9}]$
172.2.f.b	$172$	$2$	172.f	172.f	$6$	$32$	$16$	$1.373$		$_{}$	None	None		$4$	$0$	$0$	$0$	$-18$	$0$		$\mathrm{SU}(2)[C_{6}]$
2799.1.g.c	$2799$	$1$	2799.g	2799.g	$6$	$36$	$18$	$1.397$	$\Q(\zeta_{57})$	$D_{57}$	$\Q(\sqrt{-311}) $	None		$4$	$0$	$2$	$-2$	$-1$	$2$	$1$		$q+(-\zeta_{114}^{43}+\zeta_{114}^{52})q^{2}-\zeta_{114}^{3}q^{3}+\cdots$
175.2.n.a	$175$	$2$	175.n	25.e	$10$	$56$	$14$	$1.397$		$_{}$	None	None		$2$	$0$	$0$	$0$	$-6$	$0$		$\mathrm{SU}(2)[C_{10}]$

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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.