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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 139 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
1120.1.c.a	$1120$	$1$	1120.c	280.c	$2$	$4$	$4$	$0.559$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-14}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+(-\zeta_{8}-\zeta_{8}^{3})q^{3}+\zeta_{8}^{3}q^{5}-\zeta_{8}^{2}q^{7}+\cdots$
1120.1.p.a	$1120$	$1$	1120.p	35.c	$2$	$4$	$4$	$0.559$	$\Q(\zeta_{8})$	$D_{4}$	$\Q(\sqrt{-5}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+(\zeta_{8}-\zeta_{8}^{3})q^{3}+\zeta_{8}^{2}q^{5}+\zeta_{8}^{3}q^{7}+\cdots$
1120.1.br.a	$1120$	$1$	1120.br	35.i	$6$	$8$	$4$	$0.559$	$\Q(\zeta_{24})$	$D_{12}$	$\Q(\sqrt{-5}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+(\zeta_{24}^{7}+\zeta_{24}^{9})q^{3}+\zeta_{24}^{10}q^{5}+\zeta_{24}^{11}q^{7}+\cdots$
1120.1.by.a	$1120$	$1$	1120.by	280.ai	$6$	$2$	$1$	$0.559$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-10}) $	None		$4$	$0$	$0$	$0$	$-1$	$-2$		$1$		$q+\zeta_{6}^{2}q^{5}-q^{7}+\zeta_{6}^{2}q^{9}-\zeta_{6}q^{11}+\cdots$
1120.1.by.b	$1120$	$1$	1120.by	280.ai	$6$	$2$	$1$	$0.559$	$\Q(\sqrt{-3}) $	$D_{3}$	$\Q(\sqrt{-10}) $	None		$4$	$0$	$0$	$0$	$1$	$2$		$1$		$q-\zeta_{6}^{2}q^{5}+q^{7}+\zeta_{6}^{2}q^{9}-\zeta_{6}q^{11}+\cdots$
1120.1.da.a	$1120$	$1$	1120.da	35.l	$12$	$8$	$2$	$0.559$	$\Q(\zeta_{24})$	$S_{4}$	None	None		$8$	$0$	$0$	$0$	$-4$	$0$		$1$		$q-\zeta_{24}^{5}q^{3}-\zeta_{24}^{4}q^{5}+\zeta_{24}^{11}q^{7}+\cdots$
1120.2.a.a	$1120$	$2$	1120.a	1.a	$1$	$1$	$1$	$8.943$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-3$	$-1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}-q^{5}-q^{7}+6q^{9}-q^{11}-q^{13}+\cdots$
1120.2.a.b	$1120$	$2$	1120.a	1.a	$1$	$1$	$1$	$8.943$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-3$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}+q^{5}-q^{7}+6q^{9}-3q^{11}+\cdots$
1120.2.a.c	$1120$	$2$	1120.a	1.a	$1$	$1$	$1$	$8.943$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}-2q^{9}+q^{11}-q^{13}+\cdots$
1120.2.a.d	$1120$	$2$	1120.a	1.a	$1$	$1$	$1$	$8.943$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$-1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}-2q^{9}+q^{11}+3q^{13}+\cdots$
1120.2.a.e	$1120$	$2$	1120.a	1.a	$1$	$1$	$1$	$8.943$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}-2q^{9}-5q^{11}+5q^{13}+\cdots$
1120.2.a.f	$1120$	$2$	1120.a	1.a	$1$	$1$	$1$	$8.943$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}-2q^{9}+3q^{11}-7q^{13}+\cdots$
1120.2.a.g	$1120$	$2$	1120.a	1.a	$1$	$1$	$1$	$8.943$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$-1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{7}-3q^{9}-4q^{11}+2q^{13}+\cdots$
1120.2.a.h	$1120$	$2$	1120.a	1.a	$1$	$1$	$1$	$8.943$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{7}-3q^{9}+4q^{11}+2q^{13}+\cdots$
1120.2.a.i	$1120$	$2$	1120.a	1.a	$1$	$1$	$1$	$8.943$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$0$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-q^{7}-3q^{9}-2q^{13}+2q^{17}+\cdots$
1120.2.a.j	$1120$	$2$	1120.a	1.a	$1$	$1$	$1$	$8.943$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{7}-3q^{9}-2q^{13}+2q^{17}+\cdots$
1120.2.a.k	$1120$	$2$	1120.a	1.a	$1$	$1$	$1$	$8.943$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}-2q^{9}-q^{11}-q^{13}+\cdots$
1120.2.a.l	$1120$	$2$	1120.a	1.a	$1$	$1$	$1$	$8.943$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$-1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}-2q^{9}-q^{11}+3q^{13}+\cdots$
1120.2.a.m	$1120$	$2$	1120.a	1.a	$1$	$1$	$1$	$8.943$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-q^{7}-2q^{9}-3q^{11}-7q^{13}+\cdots$
1120.2.a.n	$1120$	$2$	1120.a	1.a	$1$	$1$	$1$	$8.943$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$1$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-q^{7}-2q^{9}+5q^{11}+5q^{13}+\cdots$
1120.2.a.o	$1120$	$2$	1120.a	1.a	$1$	$1$	$1$	$8.943$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$3$	$-1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}-q^{5}+q^{7}+6q^{9}+q^{11}-q^{13}+\cdots$
1120.2.a.p	$1120$	$2$	1120.a	1.a	$1$	$1$	$1$	$8.943$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$3$	$1$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}+q^{5}+q^{7}+6q^{9}+3q^{11}+\cdots$
1120.2.a.q	$1120$	$2$	1120.a	1.a	$1$	$2$	$2$	$8.943$	$\Q(\sqrt{17}) $	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$-2$	$2$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}-q^{5}+q^{7}+(1+\beta )q^{9}+(-4+\cdots)q^{11}+\cdots$
1120.2.a.r	$1120$	$2$	1120.a	1.a	$1$	$2$	$2$	$8.943$	$\Q(\sqrt{17}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$2$	$2$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{3}+q^{5}+q^{7}+(1+\beta )q^{9}-\beta q^{11}+\cdots$
1120.2.a.s	$1120$	$2$	1120.a	1.a	$1$	$2$	$2$	$8.943$	$\Q(\sqrt{17}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$-2$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}-q^{5}-q^{7}+(1+\beta )q^{9}+(4-\beta )q^{11}+\cdots$
1120.2.a.t	$1120$	$2$	1120.a	1.a	$1$	$2$	$2$	$8.943$	$\Q(\sqrt{17}) $	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$2$	$-2$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{3}+q^{5}-q^{7}+(1+\beta )q^{9}+\beta q^{11}+\cdots$
1120.2.b.a	$1120$	$2$	1120.b	8.b	$2$	$2$	$2$	$8.943$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$-2$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+2iq^{3}-iq^{5}-q^{7}-q^{9}-4iq^{11}+\cdots$
1120.2.b.b	$1120$	$2$	1120.b	8.b	$2$	$2$	$2$	$8.943$	$\Q(\sqrt{-1}) $	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$2$		$1$	$\mathrm{SU}(2)[C_{2}]$	$q+2iq^{3}+iq^{5}+q^{7}-q^{9}+4iq^{11}+\cdots$
1120.2.b.c	$1120$	$2$	1120.b	8.b	$2$	$8$	$8$	$8.943$	8.0.18939904.2	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$8$		$2^{6}$	$\mathrm{SU}(2)[C_{2}]$	$q+(\beta _{4}-\beta _{5})q^{3}-\beta _{4}q^{5}+q^{7}-2\beta _{2}q^{9}+\cdots$
1120.2.b.d	$1120$	$2$	1120.b	8.b	$2$	$12$	$12$	$8.943$	12.0.$\cdots$.1	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$-12$		$2^{10}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{2}q^{3}-\beta _{3}q^{5}-q^{7}+(-2-\beta _{4}+\cdots)q^{9}+\cdots$
1120.2.e.a	$1120$	$2$	1120.e	140.c	$2$	$48$	$48$	$8.943$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
1120.2.g.a	$1120$	$2$	1120.g	5.b	$2$	$4$	$4$	$8.943$	$\Q(i, \sqrt{5})$	$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{3}+\beta _{2}q^{5}-\beta _{1}q^{7}+2q^{9}+\beta _{3}q^{11}+\cdots$
1120.2.g.b	$1120$	$2$	1120.g	5.b	$2$	$10$	$10$	$8.943$	$\mathbb{Q}[x]/(x^{10} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$-2$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{3}+\beta _{4}q^{5}+\beta _{5}q^{7}+(-1-\beta _{3}+\cdots)q^{9}+\cdots$
1120.2.g.c	$1120$	$2$	1120.g	5.b	$2$	$10$	$10$	$8.943$	$\mathbb{Q}[x]/(x^{10} + \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$-2$	$0$		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{1}q^{3}-\beta _{6}q^{5}+\beta _{5}q^{7}+(-1-\beta _{3}+\cdots)q^{9}+\cdots$
1120.2.g.d	$1120$	$2$	1120.g	5.b	$2$	$12$	$12$	$8.943$	$\mathbb{Q}[x]/(x^{12} + \cdots)$	$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$		$2^{6}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{9}q^{3}-\beta _{11}q^{5}+\beta _{5}q^{7}+(-1-\beta _{3}+\cdots)q^{9}+\cdots$
1120.2.h.a	$1120$	$2$	1120.h	56.e	$2$	$16$	$16$	$8.943$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$-16$	$0$		$2^{12}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{2}q^{3}-q^{5}-\beta _{8}q^{7}+(-1-\beta _{12}+\cdots)q^{9}+\cdots$
1120.2.h.b	$1120$	$2$	1120.h	56.e	$2$	$16$	$16$	$8.943$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$16$	$0$		$2^{12}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{2}q^{3}+q^{5}+\beta _{8}q^{7}+(-1-\beta _{12}+\cdots)q^{9}+\cdots$
1120.2.k.a	$1120$	$2$	1120.k	28.d	$2$	$16$	$16$	$8.943$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$-4$		$2^{11}$	$\mathrm{SU}(2)[C_{2}]$	$q-\beta _{9}q^{3}+\beta _{4}q^{5}-\beta _{14}q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots$
1120.2.k.b	$1120$	$2$	1120.k	28.d	$2$	$16$	$16$	$8.943$	$\mathbb{Q}[x]/(x^{16} - \cdots)$	$_{}$	None	None		$2$	$0$	$0$	$0$	$0$	$4$		$2^{11}$	$\mathrm{SU}(2)[C_{2}]$	$q+\beta _{9}q^{3}+\beta _{4}q^{5}+\beta _{14}q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots$
1120.2.l.a	$1120$	$2$	1120.l	40.f	$2$	$36$	$36$	$8.943$		$_{}$	None	None		$4$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
1120.2.n.a	$1120$	$2$	1120.n	280.n	$2$	$4$	$4$	$8.943$	$\Q(\sqrt{2}, \sqrt{-5})$	$_{}$	$\Q(\sqrt{-10}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$2$	$\mathrm{U}(1)[D_{2}]$	$q-\beta _{3}q^{5}+(-\beta _{1}+\beta _{3})q^{7}-3q^{9}+2q^{11}+\cdots$
1120.2.n.b	$1120$	$2$	1120.n	280.n	$2$	$40$	$40$	$8.943$		$_{}$	None	None		$8$	$0$	$0$	$0$	$0$	$0$			$\mathrm{SU}(2)[C_{2}]$
1120.2.q.a	$1120$	$2$	1120.q	7.c	$3$	$2$	$1$	$8.943$	$\Q(\sqrt{-3}) $	$_{}$	None	None		$2$	$1$	$0$	$-2$	$-1$	$-4$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-2+2\zeta_{6})q^{3}-\zeta_{6}q^{5}+(-3+2\zeta_{6})q^{7}+\cdots$
1120.2.q.b	$1120$	$2$	1120.q	7.c	$3$	$2$	$1$	$8.943$	$\Q(\sqrt{-3}) $	$_{}$	None	None		$2$	$0$	$0$	$-1$	$1$	$1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\zeta_{6})q^{3}+\zeta_{6}q^{5}+(-1+3\zeta_{6})q^{7}+\cdots$
1120.2.q.c	$1120$	$2$	1120.q	7.c	$3$	$2$	$1$	$8.943$	$\Q(\sqrt{-3}) $	$_{}$	None	None		$2$	$0$	$0$	$1$	$1$	$-1$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(1-\zeta_{6})q^{3}+\zeta_{6}q^{5}+(1-3\zeta_{6})q^{7}+\cdots$
1120.2.q.d	$1120$	$2$	1120.q	7.c	$3$	$2$	$1$	$8.943$	$\Q(\sqrt{-3}) $	$_{}$	None	None		$2$	$0$	$0$	$2$	$-1$	$4$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(2-2\zeta_{6})q^{3}-\zeta_{6}q^{5}+(3-2\zeta_{6})q^{7}+\cdots$
1120.2.q.e	$1120$	$2$	1120.q	7.c	$3$	$4$	$2$	$8.943$	$\Q(\sqrt{2}, \sqrt{-3})$	$_{}$	None	None		$2$	$0$	$0$	$-2$	$-2$	$-2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(-1+\beta _{1}-\beta _{2})q^{3}+\beta _{2}q^{5}+(-1+\cdots)q^{7}+\cdots$
1120.2.q.f	$1120$	$2$	1120.q	7.c	$3$	$4$	$2$	$8.943$	$\Q(\sqrt{2}, \sqrt{-3})$	$_{}$	None	None		$2$	$0$	$0$	$2$	$-2$	$2$		$1$	$\mathrm{SU}(2)[C_{3}]$	$q+(1+\beta _{1}+\beta _{2})q^{3}+\beta _{2}q^{5}+(1+\beta _{1}+\cdots)q^{7}+\cdots$
1120.2.q.g	$1120$	$2$	1120.q	7.c	$3$	$8$	$4$	$8.943$	8.0.49787136.1	$_{}$	None	None		$4$	$0$	$0$	$0$	$-4$	$0$		$2^{4}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{3}]$	$q-\beta _{4}q^{3}+(-1+\beta _{2})q^{5}-\beta _{7}q^{7}+2\beta _{4}q^{11}+\cdots$
1120.2.q.h	$1120$	$2$	1120.q	7.c	$3$	$8$	$4$	$8.943$	8.0.1445900625.1	$_{}$	None	None		$4$	$0$	$0$	$0$	$4$	$0$		$2^{4}$	$\mathrm{SU}(2)[C_{3}]$	$q+\beta _{7}q^{3}-\beta _{3}q^{5}+(\beta _{5}-\beta _{7})q^{7}+(\beta _{3}+\cdots)q^{9}+\cdots$

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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.