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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 78 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				A-L signs				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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	2	3	5	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
7920.2.a.a	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$-4$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-4q^{7}-q^{11}-4q^{13}+2q^{17}+\cdots$
7920.2.a.b	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$-4$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-4q^{7}-q^{11}+6q^{13}+6q^{17}+\cdots$
7920.2.a.c	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$-4$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-4q^{7}+q^{11}+2q^{13}+2q^{17}+\cdots$
7920.2.a.d	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$-3$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-3q^{7}+q^{11}-6q^{13}+7q^{17}+\cdots$
7920.2.a.e	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$-1$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{7}-q^{11}-6q^{13}-3q^{17}+\cdots$
7920.2.a.f	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$0$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{11}-2q^{13}-2q^{17}-4q^{19}+\cdots$
7920.2.a.g	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{11}-2q^{13}-2q^{17}+4q^{19}+\cdots$
7920.2.a.h	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$0$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{11}-2q^{13}+6q^{17}+4q^{19}+\cdots$
7920.2.a.i	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$0$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-q^{11}+2q^{13}-6q^{17}+4q^{19}+\cdots$
7920.2.a.j	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$0$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{11}-6q^{13}+6q^{17}+q^{25}+\cdots$
7920.2.a.k	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$0$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{11}-2q^{17}-2q^{19}+6q^{23}+\cdots$
7920.2.a.l	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$0$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{11}+4q^{17}+4q^{19}+6q^{23}+\cdots$
7920.2.a.m	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$0$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+q^{11}+6q^{13}-2q^{17}+4q^{19}+\cdots$
7920.2.a.n	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$4$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+4q^{7}-q^{11}-4q^{13}-6q^{17}+\cdots$
7920.2.a.o	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$4$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+4q^{7}-q^{11}-4q^{13}+4q^{19}+\cdots$
7920.2.a.p	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$4$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+4q^{7}-q^{11}+2q^{13}-6q^{17}+\cdots$
7920.2.a.q	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$4$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+4q^{7}+q^{11}-6q^{13}+2q^{17}+\cdots$
7920.2.a.r	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$4$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+4q^{7}+q^{11}-2q^{13}+2q^{17}+\cdots$
7920.2.a.s	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$-5$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-5q^{7}+q^{11}+2q^{13}-3q^{17}+\cdots$
7920.2.a.t	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$-4$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-4q^{7}-q^{11}+2q^{13}-2q^{17}+\cdots$
7920.2.a.u	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$-4$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-4q^{7}-q^{11}+2q^{13}-2q^{17}+\cdots$
7920.2.a.v	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$-4$	$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-4q^{7}+q^{11}-4q^{13}-2q^{17}+\cdots$
7920.2.a.w	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$-2$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-2q^{7}-q^{11}-4q^{13}+4q^{19}+\cdots$
7920.2.a.x	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$-2$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-2q^{7}+q^{11}-4q^{17}+4q^{19}+\cdots$
7920.2.a.y	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$-2$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-2q^{7}+q^{11}+2q^{13}-2q^{19}+\cdots$
7920.2.a.z	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$0$	$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-q^{11}+2q^{17}-2q^{19}-6q^{23}+\cdots$
7920.2.a.ba	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{11}-4q^{13}+2q^{17}-2q^{19}+\cdots$
7920.2.a.bb	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$0$	$-$	$-$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{11}+2q^{13}+2q^{17}-8q^{19}+\cdots$
7920.2.a.bc	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$1$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+q^{7}-q^{11}+2q^{13}+3q^{17}+\cdots$
7920.2.a.bd	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$2$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}-q^{11}-4q^{13}-4q^{17}+\cdots$
7920.2.a.be	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$2$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}-q^{11}-4q^{13}+4q^{17}+\cdots$
7920.2.a.bf	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$2$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}-q^{11}-4q^{17}-4q^{19}+\cdots$
7920.2.a.bg	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$2$	$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}-q^{11}+8q^{19}-8q^{23}+\cdots$
7920.2.a.bh	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$2$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}-q^{11}+2q^{13}-8q^{17}+\cdots$
7920.2.a.bi	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$2$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}+q^{11}-4q^{13}+4q^{17}+\cdots$
7920.2.a.bj	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$2$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}+q^{11}+8q^{17}+8q^{19}+\cdots$
7920.2.a.bk	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$2$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}+q^{11}+4q^{13}+4q^{19}+\cdots$
7920.2.a.bl	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$4$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+4q^{7}-q^{11}-4q^{13}+6q^{17}+\cdots$
7920.2.a.bm	$7920$	$2$	7920.a	1.a	$1$	$1$	$1$	$63.242$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$4$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+4q^{7}+q^{11}-4q^{13}+6q^{17}+\cdots$
7920.2.a.bn	$7920$	$2$	7920.a	1.a	$1$	$2$	$2$	$63.242$	$\Q(\sqrt{13}) $	None	✓	$1$	$1$	$0$	$0$	$-2$	$-2$	$-$	$-$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{5}+(-1-\beta )q^{7}-q^{11}+(3-\beta )q^{13}+\cdots$
7920.2.a.bo	$7920$	$2$	7920.a	1.a	$1$	$2$	$2$	$63.242$	$\Q(\sqrt{13}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$-2$	$-$	$-$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{5}+(-1-\beta )q^{7}+q^{11}+(-1-\beta )q^{13}+\cdots$
7920.2.a.bp	$7920$	$2$	7920.a	1.a	$1$	$2$	$2$	$63.242$	$\Q(\sqrt{7}) $	None	✓	$1$	$1$	$0$	$0$	$-2$	$-2$	$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+(-1+\beta )q^{7}+q^{11}+(1-\beta )q^{13}+\cdots$
7920.2.a.bq	$7920$	$2$	7920.a	1.a	$1$	$2$	$2$	$63.242$	$\Q(\sqrt{33}) $	None	✓	$1$	$1$	$0$	$0$	$-2$	$-1$	$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-\beta q^{7}-q^{11}+2q^{13}+(2-\beta )q^{17}+\cdots$
7920.2.a.br	$7920$	$2$	7920.a	1.a	$1$	$2$	$2$	$63.242$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$0$	$-2$	$0$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+\beta q^{7}-q^{11}+(-2-\beta )q^{13}+\cdots$
7920.2.a.bs	$7920$	$2$	7920.a	1.a	$1$	$2$	$2$	$63.242$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$0$	$+$	$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{5}+\beta q^{7}-q^{11}+(2+\beta )q^{13}+(-2+\cdots)q^{17}+\cdots$
7920.2.a.bt	$7920$	$2$	7920.a	1.a	$1$	$2$	$2$	$63.242$	$\Q(\sqrt{2}) $	None	✓	$1$	$1$	$0$	$0$	$-2$	$0$	$+$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	$q-q^{5}+\beta q^{7}+q^{11}+(2+\beta )q^{13}+(-2+\cdots)q^{17}+\cdots$
7920.2.a.bu	$7920$	$2$	7920.a	1.a	$1$	$2$	$2$	$63.242$	$\Q(\sqrt{17}) $	None	✓	$1$	$1$	$0$	$0$	$-2$	$1$	$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+\beta q^{7}+q^{11}+2q^{13}+(-2+\cdots)q^{17}+\cdots$
7920.2.a.bv	$7920$	$2$	7920.a	1.a	$1$	$2$	$2$	$63.242$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$2$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+(1+\beta )q^{7}-q^{11}+(-1+3\beta )q^{13}+\cdots$
7920.2.a.bw	$7920$	$2$	7920.a	1.a	$1$	$2$	$2$	$63.242$	$\Q(\sqrt{6}) $	None	✓	$1$	$1$	$0$	$0$	$-2$	$4$	$+$	$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+(2+\beta )q^{7}-q^{11}-\beta q^{13}+3\beta q^{17}+\cdots$
7920.2.a.bx	$7920$	$2$	7920.a	1.a	$1$	$2$	$2$	$63.242$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$4$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+(2+\beta )q^{7}+q^{11}-\beta q^{13}-3\beta q^{17}+\cdots$

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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.