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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 204 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
945.1.n.a	$945$	$1$	945.n	105.k	$4$	$4$	$2$	$0.472$	$\Q(\zeta_{8})$	$S_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$-4$		$1$		$q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{3}q^{5}-q^{7}-\zeta_{8}q^{8}+\cdots$
945.1.n.b	$945$	$1$	945.n	105.k	$4$	$4$	$2$	$0.472$	$\Q(\zeta_{8})$	$S_{4}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{3}q^{5}-\zeta_{8}^{2}q^{7}+\zeta_{8}q^{8}+\cdots$
945.1.y.a	$945$	$1$	945.y	105.o	$6$	$8$	$4$	$0.472$	$\Q(\zeta_{24})$	$S_{4}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+(\zeta_{24}+\zeta_{24}^{7})q^{2}+\zeta_{24}^{8}q^{4}-\zeta_{24}^{7}q^{5}+\cdots$
945.1.bg.a	$945$	$1$	945.bg	315.ag	$6$	$2$	$1$	$0.472$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-35}) $	None		$4$	$0$	$0$	$0$	$-1$	$1$		$1$		$q-\zeta_{6}q^{4}-\zeta_{6}q^{5}-\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{11}+\cdots$
945.1.bg.b	$945$	$1$	945.bg	315.ag	$6$	$2$	$1$	$0.472$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-35}) $	None		$4$	$0$	$0$	$0$	$1$	$-1$		$1$		$q-\zeta_{6}q^{4}+\zeta_{6}q^{5}+\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{11}+\cdots$
945.1.cw.a	$945$	$1$	945.cw	945.bw	$18$	$6$	$1$	$0.472$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-35}) $	None		$4$	$0$	$0$	$-3$	$0$	$0$		$1$		$q+\zeta_{18}^{6}q^{3}+\zeta_{18}^{4}q^{4}-\zeta_{18}q^{5}-\zeta_{18}^{5}q^{7}+\cdots$
945.1.cw.b	$945$	$1$	945.cw	945.bw	$18$	$6$	$1$	$0.472$	$\Q(\zeta_{18})$	$D_{9}$	$\Q(\sqrt{-35}) $	None		$4$	$0$	$0$	$3$	$0$	$0$		$1$		$q-\zeta_{18}^{6}q^{3}+\zeta_{18}^{4}q^{4}+\zeta_{18}q^{5}+\zeta_{18}^{5}q^{7}+\cdots$
945.2.a.a	$945$	$2$	945.a	1.a	$1$	$2$	$2$	$7.546$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	$1$	$1$	$-3$	$0$	$2$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta )q^{2}+3\beta q^{4}+q^{5}+q^{7}+\cdots$
945.2.a.b	$945$	$2$	945.a	1.a	$1$	$2$	$2$	$7.546$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$0$	$-2$	$0$	$-2$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-q^{5}-q^{7}+\cdots$
945.2.a.c	$945$	$2$	945.a	1.a	$1$	$2$	$2$	$7.546$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	$1$	$1$	$-1$	$0$	$2$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(-1+\beta )q^{4}+q^{5}-q^{7}+(-1+\cdots)q^{8}+\cdots$
945.2.a.d	$945$	$2$	945.a	1.a	$1$	$2$	$2$	$7.546$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	$1$	$1$	$-1$	$0$	$2$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(-1+\beta )q^{4}+q^{5}-q^{7}+(-1+\cdots)q^{8}+\cdots$
945.2.a.e	$945$	$2$	945.a	1.a	$1$	$2$	$2$	$7.546$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	$1$	$0$	$-1$	$0$	$2$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(-1+\beta )q^{4}+q^{5}-q^{7}+(-1+\cdots)q^{8}+\cdots$
945.2.a.f	$945$	$2$	945.a	1.a	$1$	$2$	$2$	$7.546$	$\Q(\sqrt{13}) $	$_{}$	None	None	✓	$1$	$1$	$-1$	$0$	$-2$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{2}+(1+\beta )q^{4}-q^{5}+q^{7}-3q^{8}+\cdots$
945.2.a.g	$945$	$2$	945.a	1.a	$1$	$2$	$2$	$7.546$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	$1$	$1$	$1$	$0$	$-2$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(-1+\beta )q^{4}-q^{5}-q^{7}+(1+\cdots)q^{8}+\cdots$
945.2.a.h	$945$	$2$	945.a	1.a	$1$	$2$	$2$	$7.546$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	$1$	$1$	$1$	$0$	$-2$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(-1+\beta )q^{4}-q^{5}-q^{7}+(1+\cdots)q^{8}+\cdots$
945.2.a.i	$945$	$2$	945.a	1.a	$1$	$2$	$2$	$7.546$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	$1$	$0$	$1$	$0$	$-2$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(-1+\beta )q^{4}-q^{5}-q^{7}+(1+\cdots)q^{8}+\cdots$
945.2.a.j	$945$	$2$	945.a	1.a	$1$	$2$	$2$	$7.546$	$\Q(\sqrt{13}) $	$_{}$	None	None	✓	$1$	$0$	$1$	$0$	$2$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{2}+(1+\beta )q^{4}+q^{5}+q^{7}+3q^{8}+\cdots$
945.2.a.k	$945$	$2$	945.a	1.a	$1$	$2$	$2$	$7.546$	$\Q(\sqrt{2}) $	$_{}$	None	None	✓	$1$	$0$	$2$	$0$	$2$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+(1+2\beta )q^{4}+q^{5}-q^{7}+\cdots$
945.2.a.l	$945$	$2$	945.a	1.a	$1$	$2$	$2$	$7.546$	$\Q(\sqrt{5}) $	$_{}$	None	None	✓	$1$	$0$	$3$	$0$	$-2$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+(1+\beta )q^{2}+3\beta q^{4}-q^{5}+q^{7}+(1+\cdots)q^{8}+\cdots$
945.2.a.m	$945$	$2$	945.a	1.a	$1$	$4$	$4$	$7.546$	4.4.144344.1	$_{}$	None	None	✓	$1$	$0$	$-1$	$0$	$-4$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}-q^{5}+q^{7}+(-1+\cdots)q^{8}+\cdots$
945.2.a.n	$945$	$2$	945.a	1.a	$1$	$4$	$4$	$7.546$	4.4.144344.1	$_{}$	None	None	✓	$1$	$0$	$1$	$0$	$4$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+q^{5}+q^{7}+(1+\cdots)q^{8}+\cdots$
945.2.b.a	$945$	$2$	945.b	21.c	$2$	$10$	$10$	$7.546$	$\mathbb{Q}[x]/(x^{10} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$-10$	$3$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+(-1+\beta _{2})q^{4}-q^{5}-\beta _{8}q^{7}+\cdots$
945.2.b.b	$945$	$2$	945.b	21.c	$2$	$10$	$10$	$7.546$	$\mathbb{Q}[x]/(x^{10} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$10$	$3$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+(-1+\beta _{2})q^{4}+q^{5}-\beta _{7}q^{7}+\cdots$
945.2.b.c	$945$	$2$	945.b	21.c	$2$	$12$	$12$	$7.546$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$-12$	$-2$		$2\cdot 3^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+(-1+\beta _{2})q^{4}-q^{5}+\beta _{6}q^{7}+\cdots$
945.2.b.d	$945$	$2$	945.b	21.c	$2$	$12$	$12$	$7.546$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$12$	$-2$		$2\cdot 3^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+(-1+\beta _{2})q^{4}+q^{5}-\beta _{7}q^{7}+\cdots$
945.2.d.a	$945$	$2$	945.d	5.b	$2$	$2$	$2$	$7.546$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$-2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}+q^{4}+(-1-2i)q^{5}-iq^{7}+\cdots$
945.2.d.b	$945$	$2$	945.d	5.b	$2$	$2$	$2$	$7.546$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+iq^{2}+q^{4}+(1-2i)q^{5}+iq^{7}+3iq^{8}+\cdots$
945.2.d.c	$945$	$2$	945.d	5.b	$2$	$8$	$8$	$7.546$	8.0.49787136.1	$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{2}q^{2}+(-1-\beta _{4})q^{4}+(-\beta _{5}+\beta _{6}+\cdots)q^{5}+\cdots$
945.2.d.d	$945$	$2$	945.d	5.b	$2$	$10$	$10$	$7.546$	$\mathbb{Q}[x]/(x^{10} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$-2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+(-1+\beta _{2})q^{4}+\beta _{3}q^{5}-\beta _{5}q^{7}+\cdots$
945.2.d.e	$945$	$2$	945.d	5.b	$2$	$10$	$10$	$7.546$	$\mathbb{Q}[x]/(x^{10} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$2$	$0$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}+(-1+\beta _{2})q^{4}+\beta _{4}q^{5}+\beta _{5}q^{7}+\cdots$
945.2.d.f	$945$	$2$	945.d	5.b	$2$	$16$	$16$	$7.546$	$\mathbb{Q}[x]/(x^{16} + \cdots)$	$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$2^{6}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{10}q^{2}+(-2-\beta _{7})q^{4}-\beta _{9}q^{5}+\cdots$
945.2.g.a	$945$	$2$	945.g	105.g	$2$	$32$	$32$	$7.546$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
945.2.g.b	$945$	$2$	945.g	105.g	$2$	$32$	$32$	$7.546$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
945.2.i.a	$945$	$2$	945.i	9.c	$3$	$2$	$1$	$7.546$	$\Q(\sqrt{-3}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$-1$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+2\zeta_{6}q^{4}-\zeta_{6}q^{5}+(-1+\zeta_{6})q^{7}+\cdots$
945.2.i.b	$945$	$2$	945.i	9.c	$3$	$2$	$1$	$7.546$	$\Q(\sqrt{-3}) $	$_{}$	None	None		$2$	$0$	$2$	$0$	$-1$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(2-2\zeta_{6})q^{2}-2\zeta_{6}q^{4}-\zeta_{6}q^{5}+(-1+\cdots)q^{7}+\cdots$
945.2.i.c	$945$	$2$	945.i	9.c	$3$	$8$	$4$	$7.546$	$\Q(\zeta_{15})$	$_{}$	None	None		$2$	$0$	$-1$	$0$	$-4$	$4$		$3^{2}$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1-\zeta_{15}+\zeta_{15}^{2}-\zeta_{15}^{3})q^{2}+\cdots$
945.2.i.d	$945$	$2$	945.i	9.c	$3$	$8$	$4$	$7.546$	8.0.142635249.1	$_{}$	None	None		$2$	$0$	$-1$	$0$	$4$	$-4$		$3$	$\mathrm{SU}(2)[C_{3}]$	$q-\beta _{7}q^{2}+(\beta _{1}+\beta _{4}+\beta _{7})q^{4}+(1-\beta _{2}+\cdots)q^{5}+\cdots$
945.2.i.e	$945$	$2$	945.i	9.c	$3$	$12$	$6$	$7.546$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	$_{}$	None	None		$2$	$0$	$-3$	$0$	$-6$	$-6$		$3^{3}$	$\mathrm{SU}(2)[C_{3}]$	$q+(1-\beta _{1}+\beta _{4}-\beta _{5})q^{2}+(-2-\beta _{2}+\cdots)q^{4}+\cdots$
945.2.i.f	$945$	$2$	945.i	9.c	$3$	$16$	$8$	$7.546$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	$_{}$	None	None		$2$	$0$	$-1$	$0$	$8$	$8$		$3^{8}$	$\mathrm{SU}(2)[C_{3}]$	$q+(\beta _{1}-\beta _{13})q^{2}+(-\beta _{3}-\beta _{10})q^{4}+\cdots$
945.2.j.a	$945$	$2$	945.j	7.c	$3$	$2$	$1$	$7.546$	$\Q(\sqrt{-3}) $	$_{}$	None	None		$2$	$0$	$-1$	$0$	$-1$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{4}-\zeta_{6}q^{5}+(1-3\zeta_{6})q^{7}+\cdots$
945.2.j.b	$945$	$2$	945.j	7.c	$3$	$2$	$1$	$7.546$	$\Q(\sqrt{-3}) $	$_{}$	None	None		$2$	$0$	$1$	$0$	$1$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{4}+\zeta_{6}q^{5}+(1-3\zeta_{6})q^{7}+\cdots$
945.2.j.c	$945$	$2$	945.j	7.c	$3$	$6$	$3$	$7.546$	6.0.1783323.2	$_{}$	None	None		$2$	$0$	$-1$	$0$	$3$	$-2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-\beta _{1}q^{2}+(-\beta _{3}-\beta _{4}+\beta _{5})q^{4}+(1+\cdots)q^{5}+\cdots$
945.2.j.d	$945$	$2$	945.j	7.c	$3$	$6$	$3$	$7.546$	6.0.1783323.2	$_{}$	None	None		$2$	$0$	$1$	$0$	$-3$	$-2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+\beta _{1}q^{2}+(-\beta _{3}-\beta _{4}+\beta _{5})q^{4}+(-1+\cdots)q^{5}+\cdots$
945.2.j.e	$945$	$2$	945.j	7.c	$3$	$10$	$5$	$7.546$	10.0.$\cdots$.1	$_{}$	None	None		$2$	$0$	$0$	$0$	$-5$	$-5$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+\beta _{1}q^{2}+(\beta _{2}-\beta _{6}+\beta _{9})q^{4}+(-1+\cdots)q^{5}+\cdots$
945.2.j.f	$945$	$2$	945.j	7.c	$3$	$10$	$5$	$7.546$	$\mathbb{Q}[x]/(x^{10} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$-5$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(\beta _{1}-\beta _{2})q^{2}+(-1+\beta _{3}+\beta _{6}-\beta _{8}+\cdots)q^{4}+\cdots$
945.2.j.g	$945$	$2$	945.j	7.c	$3$	$10$	$5$	$7.546$	10.0.$\cdots$.1	$_{}$	None	None		$2$	$0$	$0$	$0$	$5$	$-5$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(\beta _{1}-\beta _{3})q^{2}+(-1+\beta _{6}-\beta _{9})q^{4}+\cdots$
945.2.j.h	$945$	$2$	945.j	7.c	$3$	$10$	$5$	$7.546$	$\mathbb{Q}[x]/(x^{10} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$5$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-\beta _{1}+\beta _{2})q^{2}+(-1+\beta _{3}+\beta _{6}+\cdots)q^{4}+\cdots$
945.2.j.i	$945$	$2$	945.j	7.c	$3$	$14$	$7$	$7.546$	$\mathbb{Q}[x]/(x^{14} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$-7$	$2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-\beta _{1}-\beta _{2})q^{2}+(\beta _{3}-\beta _{7}+\beta _{10}+\cdots)q^{4}+\cdots$
945.2.j.j	$945$	$2$	945.j	7.c	$3$	$14$	$7$	$7.546$	$\mathbb{Q}[x]/(x^{14} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$7$	$2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(\beta _{1}+\beta _{2})q^{2}+(\beta _{3}-\beta _{7}+\beta _{10})q^{4}+\cdots$
945.2.k.a	$945$	$2$	945.k	63.g	$3$	$4$	$2$	$7.546$	$\Q(\sqrt{-3}, \sqrt{13})$	$_{}$	None	None		$2$	$0$	$-1$	$0$	$4$	$-8$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-\beta _{1}q^{2}+(-1+\beta _{1}+\beta _{2}+\beta _{3})q^{4}+\cdots$

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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.