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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 167 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	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	CM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
1134.2.a.a	$1134$	$2$	1134.a	1.a	$1$	$1$	$1$	$9.055$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$-3$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-3q^{5}+q^{7}-q^{8}+3q^{10}+\cdots$
1134.2.a.b	$1134$	$2$	1134.a	1.a	$1$	$1$	$1$	$9.055$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$
1134.2.a.c	$1134$	$2$	1134.a	1.a	$1$	$1$	$1$	$9.055$	$\Q$	None	✓	$1$	$1$	$-1$	$0$	$2$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+2q^{5}-q^{7}-q^{8}-2q^{10}+\cdots$
1134.2.a.d	$1134$	$2$	1134.a	1.a	$1$	$1$	$1$	$9.055$	$\Q$	None	✓	$1$	$0$	$-1$	$0$	$3$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+3q^{5}+q^{7}-q^{8}-3q^{10}+\cdots$
1134.2.a.e	$1134$	$2$	1134.a	1.a	$1$	$1$	$1$	$9.055$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$-3$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-3q^{5}+q^{7}+q^{8}-3q^{10}+\cdots$
1134.2.a.f	$1134$	$2$	1134.a	1.a	$1$	$1$	$1$	$9.055$	$\Q$	None	✓	$1$	$1$	$1$	$0$	$-2$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}-2q^{5}-q^{7}+q^{8}-2q^{10}+\cdots$
1134.2.a.g	$1134$	$2$	1134.a	1.a	$1$	$1$	$1$	$9.055$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots$
1134.2.a.h	$1134$	$2$	1134.a	1.a	$1$	$1$	$1$	$9.055$	$\Q$	None	✓	$1$	$0$	$1$	$0$	$3$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+3q^{5}+q^{7}+q^{8}+3q^{10}+\cdots$
1134.2.a.i	$1134$	$2$	1134.a	1.a	$1$	$2$	$2$	$9.055$	$\Q(\sqrt{6}) $	None	✓	$1$	$0$	$-2$	$0$	$-2$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(-1+\beta )q^{5}-q^{7}-q^{8}+\cdots$
1134.2.a.j	$1134$	$2$	1134.a	1.a	$1$	$2$	$2$	$9.055$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$-2$	$0$	$0$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+\beta q^{5}+q^{7}-q^{8}-\beta q^{10}+\cdots$
1134.2.a.k	$1134$	$2$	1134.a	1.a	$1$	$2$	$2$	$9.055$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$-2$	$0$	$3$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(1+\beta )q^{5}+q^{7}-q^{8}+\cdots$
1134.2.a.l	$1134$	$2$	1134.a	1.a	$1$	$2$	$2$	$9.055$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$-2$	$0$	$4$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{2}+q^{4}+(2+\beta )q^{5}-q^{7}-q^{8}+\cdots$
1134.2.a.m	$1134$	$2$	1134.a	1.a	$1$	$2$	$2$	$9.055$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$2$	$0$	$-4$	$-2$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-2+\beta )q^{5}-q^{7}+q^{8}+\cdots$
1134.2.a.n	$1134$	$2$	1134.a	1.a	$1$	$2$	$2$	$9.055$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$2$	$0$	$-3$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(-1-\beta )q^{5}+q^{7}+q^{8}+\cdots$
1134.2.a.o	$1134$	$2$	1134.a	1.a	$1$	$2$	$2$	$9.055$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$2$	$0$	$0$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+\beta q^{5}+q^{7}+q^{8}+\beta q^{10}+\cdots$
1134.2.a.p	$1134$	$2$	1134.a	1.a	$1$	$2$	$2$	$9.055$	$\Q(\sqrt{6}) $	None	✓	$1$	$0$	$2$	$0$	$2$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{2}+q^{4}+(1+\beta )q^{5}-q^{7}+q^{8}+\cdots$
1134.2.d.a	$1134$	$2$	1134.d	21.c	$2$	$16$	$16$	$9.055$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None		$4$	$0$	$0$	$0$	$0$	$-4$		$2^{8}\cdot 3^{6}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{2}-q^{4}+\beta _{2}q^{5}-\beta _{8}q^{7}-\beta _{1}q^{8}+\cdots$
1134.2.d.b	$1134$	$2$	1134.d	21.c	$2$	$16$	$16$	$9.055$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	None		$4$	$0$	$0$	$0$	$0$	$8$		$2^{10}\cdot 3^{6}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{11}q^{2}-q^{4}-\beta _{2}q^{5}+\beta _{14}q^{7}+\cdots$
1134.2.e.a	$1134$	$2$	1134.e	63.h	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-2$	$0$	$-3$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-q^{2}+q^{4}+(-3+3\zeta_{6})q^{5}+(-2+\cdots)q^{7}+\cdots$
1134.2.e.b	$1134$	$2$	1134.e	63.h	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-2$	$0$	$-2$	$4$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-q^{2}+q^{4}+(-2+2\zeta_{6})q^{5}+(1+2\zeta_{6})q^{7}+\cdots$
1134.2.e.c	$1134$	$2$	1134.e	63.h	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$1$	$-2$	$0$	$0$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-q^{2}+q^{4}+(1-3\zeta_{6})q^{7}-q^{8}-6\zeta_{6}q^{11}+\cdots$
1134.2.e.d	$1134$	$2$	1134.e	63.h	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-2$	$0$	$0$	$5$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-q^{2}+q^{4}+(2+\zeta_{6})q^{7}-q^{8}+4\zeta_{6}q^{13}+\cdots$
1134.2.e.e	$1134$	$2$	1134.e	63.h	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-2$	$0$	$1$	$-5$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-q^{2}+q^{4}+(1-\zeta_{6})q^{5}+(-2-\zeta_{6})q^{7}+\cdots$
1134.2.e.f	$1134$	$2$	1134.e	63.h	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-2$	$0$	$3$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-q^{2}+q^{4}+(3-3\zeta_{6})q^{5}+(1-3\zeta_{6})q^{7}+\cdots$
1134.2.e.g	$1134$	$2$	1134.e	63.h	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-2$	$0$	$3$	$5$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-q^{2}+q^{4}+(3-3\zeta_{6})q^{5}+(2+\zeta_{6})q^{7}+\cdots$
1134.2.e.h	$1134$	$2$	1134.e	63.h	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-2$	$0$	$4$	$-5$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-q^{2}+q^{4}+(4-4\zeta_{6})q^{5}+(-2-\zeta_{6})q^{7}+\cdots$
1134.2.e.i	$1134$	$2$	1134.e	63.h	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$1$	$2$	$0$	$-4$	$-5$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}+q^{4}+(-4+4\zeta_{6})q^{5}+(-2+\cdots)q^{7}+\cdots$
1134.2.e.j	$1134$	$2$	1134.e	63.h	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$2$	$0$	$-3$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}+q^{4}+(-3+3\zeta_{6})q^{5}+(1-3\zeta_{6})q^{7}+\cdots$
1134.2.e.k	$1134$	$2$	1134.e	63.h	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$2$	$0$	$-3$	$5$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}+q^{4}+(-3+3\zeta_{6})q^{5}+(2+\zeta_{6})q^{7}+\cdots$
1134.2.e.l	$1134$	$2$	1134.e	63.h	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$2$	$0$	$-1$	$-5$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}+q^{4}+(-1+\zeta_{6})q^{5}+(-2-\zeta_{6})q^{7}+\cdots$
1134.2.e.m	$1134$	$2$	1134.e	63.h	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$2$	$0$	$0$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}+q^{4}+(1-3\zeta_{6})q^{7}+q^{8}+6\zeta_{6}q^{11}+\cdots$
1134.2.e.n	$1134$	$2$	1134.e	63.h	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$2$	$0$	$0$	$5$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}+q^{4}+(2+\zeta_{6})q^{7}+q^{8}+4\zeta_{6}q^{13}+\cdots$
1134.2.e.o	$1134$	$2$	1134.e	63.h	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$2$	$0$	$2$	$4$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}+q^{4}+(2-2\zeta_{6})q^{5}+(1+2\zeta_{6})q^{7}+\cdots$
1134.2.e.p	$1134$	$2$	1134.e	63.h	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$2$	$0$	$3$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}+q^{4}+(3-3\zeta_{6})q^{5}+(-2+3\zeta_{6})q^{7}+\cdots$
1134.2.e.q	$1134$	$2$	1134.e	63.h	$3$	$4$	$2$	$9.055$	$\Q(\sqrt{-3}, \sqrt{7})$	None		$2$	$0$	$-4$	$0$	$-2$	$0$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q-q^{2}+q^{4}+(-1+\beta _{1}-\beta _{2})q^{5}-\beta _{1}q^{7}+\cdots$
1134.2.e.r	$1134$	$2$	1134.e	63.h	$3$	$4$	$2$	$9.055$	$\Q(\sqrt{2}, \sqrt{-3})$	None		$2$	$0$	$-4$	$0$	$0$	$-2$		$3$	$\mathrm{SU}(2)[C_{3}]$	$q-q^{2}+q^{4}+(-1-\beta _{1}-\beta _{2}+\beta _{3})q^{7}+\cdots$
1134.2.e.s	$1134$	$2$	1134.e	63.h	$3$	$4$	$2$	$9.055$	$\Q(\sqrt{2}, \sqrt{-3})$	None		$2$	$0$	$4$	$0$	$0$	$-2$		$3$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}+q^{4}+(-1-\beta _{1}+\beta _{2}-\beta _{3})q^{7}+\cdots$
1134.2.e.t	$1134$	$2$	1134.e	63.h	$3$	$4$	$2$	$9.055$	$\Q(\sqrt{-3}, \sqrt{7})$	None		$2$	$0$	$4$	$0$	$2$	$0$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}+q^{4}+(1+\beta _{1}+\beta _{2})q^{5}+\beta _{1}q^{7}+\cdots$
1134.2.e.u	$1134$	$2$	1134.e	63.h	$3$	$8$	$4$	$9.055$	8.0.454201344.7	None		$2$	$0$	$-8$	$0$	$-4$	$6$		$3^{2}$	$\mathrm{SU}(2)[C_{3}]$	$q-q^{2}+q^{4}+(-\beta _{3}+\beta _{4}-\beta _{5})q^{5}+\cdots$
1134.2.e.v	$1134$	$2$	1134.e	63.h	$3$	$8$	$4$	$9.055$	8.0.454201344.7	None		$2$	$0$	$8$	$0$	$4$	$6$		$3^{2}$	$\mathrm{SU}(2)[C_{3}]$	$q+q^{2}+q^{4}+(\beta _{3}-\beta _{4}+\beta _{5})q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots$
1134.2.f.a	$1134$	$2$	1134.f	9.c	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-1$	$0$	$-4$	$1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-4\zeta_{6}q^{5}+\cdots$
1134.2.f.b	$1134$	$2$	1134.f	9.c	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-1$	$0$	$-3$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-3\zeta_{6}q^{5}+\cdots$
1134.2.f.c	$1134$	$2$	1134.f	9.c	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-1$	$0$	$-1$	$1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+(1+\cdots)q^{7}+\cdots$
1134.2.f.d	$1134$	$2$	1134.f	9.c	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-1$	$0$	$-1$	$1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+(1+\cdots)q^{7}+\cdots$
1134.2.f.e	$1134$	$2$	1134.f	9.c	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-1$	$0$	$0$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{7}+\cdots$
1134.2.f.f	$1134$	$2$	1134.f	9.c	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-1$	$0$	$0$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{7}+\cdots$
1134.2.f.g	$1134$	$2$	1134.f	9.c	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-1$	$0$	$2$	$1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+2\zeta_{6}q^{5}+\cdots$
1134.2.f.h	$1134$	$2$	1134.f	9.c	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$-1$	$0$	$3$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+3\zeta_{6}q^{5}+\cdots$
1134.2.f.i	$1134$	$2$	1134.f	9.c	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$1$	$0$	$-3$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}-3\zeta_{6}q^{5}+(-1+\cdots)q^{7}+\cdots$
1134.2.f.j	$1134$	$2$	1134.f	9.c	$3$	$2$	$1$	$9.055$	$\Q(\sqrt{-3}) $	None		$2$	$0$	$1$	$0$	$-2$	$1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}-2\zeta_{6}q^{5}+(1+\cdots)q^{7}+\cdots$

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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.