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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 95 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	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
5184.2.a.a	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-4$	$-2$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}-2q^{7}+5q^{11}+2q^{13}-3q^{17}+\cdots$
5184.2.a.b	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-4$	$2$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-4q^{5}+2q^{7}-5q^{11}+2q^{13}-3q^{17}+\cdots$
5184.2.a.c	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-3$	$-4$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-4q^{7}+q^{13}+3q^{17}+4q^{19}+\cdots$
5184.2.a.d	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$2$	$0$	$0$	$-3$	$-2$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-2q^{7}-6q^{11}-5q^{13}-3q^{17}+\cdots$
5184.2.a.e	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-3$	$-1$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}-q^{7}-3q^{11}+q^{13}+6q^{17}+\cdots$
5184.2.a.f	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-3$	$1$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+q^{7}+3q^{11}+q^{13}+6q^{17}+\cdots$
5184.2.a.g	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-3$	$2$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+2q^{7}+6q^{11}-5q^{13}-3q^{17}+\cdots$
5184.2.a.h	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-3$	$4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{5}+4q^{7}+q^{13}+3q^{17}-4q^{19}+\cdots$
5184.2.a.i	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$-3$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-3q^{7}+5q^{11}+5q^{13}+2q^{17}+\cdots$
5184.2.a.j	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$-2$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-2q^{7}+2q^{11}-q^{13}+3q^{17}+\cdots$
5184.2.a.k	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$0$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-4q^{11}+5q^{13}+5q^{17}-8q^{19}+\cdots$
5184.2.a.l	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$-1$	$0$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+4q^{11}+5q^{13}+5q^{17}+8q^{19}+\cdots$
5184.2.a.m	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$2$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+2q^{7}-2q^{11}-q^{13}+3q^{17}+\cdots$
5184.2.a.n	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$-1$	$3$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+3q^{7}-5q^{11}+5q^{13}+2q^{17}+\cdots$
5184.2.a.o	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$-2$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}-3q^{11}-2q^{13}-3q^{17}-q^{19}+\cdots$
5184.2.a.p	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$-2$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{7}+3q^{11}-2q^{13}+3q^{17}-q^{19}+\cdots$
5184.2.a.q	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$0$	$2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}-3q^{11}-2q^{13}+3q^{17}+q^{19}+\cdots$
5184.2.a.r	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$0$	$2$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{7}+3q^{11}-2q^{13}-3q^{17}+q^{19}+\cdots$
5184.2.a.s	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$-3$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-3q^{7}-5q^{11}+5q^{13}-2q^{17}+\cdots$
5184.2.a.t	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$-2$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-2q^{7}-2q^{11}-q^{13}-3q^{17}+\cdots$
5184.2.a.u	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$0$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}-4q^{11}+5q^{13}-5q^{17}+8q^{19}+\cdots$
5184.2.a.v	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$0$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+4q^{11}+5q^{13}-5q^{17}-8q^{19}+\cdots$
5184.2.a.w	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$1$	$2$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+2q^{7}+2q^{11}-q^{13}-3q^{17}+\cdots$
5184.2.a.x	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$1$	$3$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+3q^{7}+5q^{11}+5q^{13}-2q^{17}+\cdots$
5184.2.a.y	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$3$	$-4$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}-4q^{7}+q^{13}-3q^{17}+4q^{19}+\cdots$
5184.2.a.z	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$3$	$-2$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}-2q^{7}+6q^{11}-5q^{13}+3q^{17}+\cdots$
5184.2.a.ba	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$3$	$-1$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}-q^{7}+3q^{11}+q^{13}-6q^{17}+\cdots$
5184.2.a.bb	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$3$	$1$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}+q^{7}-3q^{11}+q^{13}-6q^{17}+\cdots$
5184.2.a.bc	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$1$	$0$	$0$	$3$	$2$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}+2q^{7}-6q^{11}-5q^{13}+3q^{17}+\cdots$
5184.2.a.bd	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$3$	$4$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{5}+4q^{7}+q^{13}-3q^{17}-4q^{19}+\cdots$
5184.2.a.be	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$4$	$-2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{5}-2q^{7}-5q^{11}+2q^{13}+3q^{17}+\cdots$
5184.2.a.bf	$5184$	$2$	5184.a	1.a	$1$	$1$	$1$	$41.394$	$\Q$	None	✓	$1$	$0$	$0$	$0$	$4$	$2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+4q^{5}+2q^{7}+5q^{11}+2q^{13}+3q^{17}+\cdots$
5184.2.a.bg	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	$\Q(\sqrt{3}) $	None	✓	$1$	$0$	$0$	$0$	$-4$	$0$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-2+\beta )q^{5}-2\beta q^{7}-2q^{11}+(-1+\cdots)q^{13}+\cdots$
5184.2.a.bh	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	$\Q(\sqrt{3}) $	$\Q(\sqrt{-1}) $	✓	$2$	$1$	$0$	$0$	$-4$	$0$	$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	$q+(-2+\beta )q^{5}+(-3+2\beta )q^{13}+(4+\cdots)q^{17}+\cdots$
5184.2.a.bi	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	$\Q(\sqrt{3}) $	None	✓	$1$	$1$	$0$	$0$	$-4$	$0$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-2+\beta )q^{5}+2\beta q^{7}+2q^{11}+(-1+\cdots)q^{13}+\cdots$
5184.2.a.bj	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	$\Q(\sqrt{6}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$-2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+(-1-\beta )q^{7}+(1-\beta )q^{11}+(-1+\cdots)q^{13}+\cdots$
5184.2.a.bk	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	$\Q(\sqrt{6}) $	None	✓	$2$	$0$	$0$	$0$	$-2$	$0$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q-q^{5}-\beta q^{7}+\beta q^{11}-3q^{13}+5q^{17}+\cdots$
5184.2.a.bl	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	$\Q(\sqrt{3}) $	None	✓	$2$	$1$	$0$	$0$	$-2$	$0$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{5}-\beta q^{7}+\beta q^{11}+3q^{13}-4q^{17}+\cdots$
5184.2.a.bm	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	$\Q(\sqrt{3}) $	$\Q(\sqrt{-1}) $	✓	$2$	$0$	$0$	$0$	$-2$	$0$	$-$	$+$	$-$	$2$	$N(\mathrm{U}(1))$	$q+(-1+\beta )q^{5}+(3+\beta )q^{13}+(-1+2\beta )q^{17}+\cdots$
5184.2.a.bn	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	$\Q(\sqrt{6}) $	None	✓	$1$	$0$	$0$	$0$	$-2$	$2$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{5}+(1-\beta )q^{7}+(-1-\beta )q^{11}+(-1+\cdots)q^{13}+\cdots$
5184.2.a.bo	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	$\Q(\sqrt{33}) $	None	✓	$1$	$1$	$0$	$0$	$-1$	$-3$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{5}+(-2+\beta )q^{7}-q^{11}+(-2+\cdots)q^{13}+\cdots$
5184.2.a.bp	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$0$	$0$	$-1$	$3$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta q^{5}+(2-\beta )q^{7}+q^{11}+(-2-\beta )q^{13}+\cdots$
5184.2.a.bq	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	$\Q(\sqrt{3}) $	None	✓	$2$	$1$	$0$	$0$	$0$	$-4$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{5}-2q^{7}-2\beta q^{11}+q^{13}+3\beta q^{17}+\cdots$
5184.2.a.br	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	$\Q(\sqrt{3}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$4$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{5}+2q^{7}+2\beta q^{11}+q^{13}+3\beta q^{17}+\cdots$
5184.2.a.bs	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$0$	$0$	$1$	$-3$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{5}+(-2+\beta )q^{7}+q^{11}+(-2+\cdots)q^{13}+\cdots$
5184.2.a.bt	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	$\Q(\sqrt{33}) $	None	✓	$1$	$1$	$0$	$0$	$1$	$3$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+\beta q^{5}+(2-\beta )q^{7}-q^{11}+(-2-\beta )q^{13}+\cdots$
5184.2.a.bu	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	$\Q(\sqrt{6}) $	None	✓	$1$	$1$	$0$	$0$	$2$	$-2$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+(-1-\beta )q^{7}+(-1+\beta )q^{11}+\cdots$
5184.2.a.bv	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	$\Q(\sqrt{6}) $	None	✓	$2$	$0$	$0$	$0$	$2$	$0$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{5}-\beta q^{7}-\beta q^{11}-3q^{13}-5q^{17}+\cdots$
5184.2.a.bw	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	$\Q(\sqrt{3}) $	$\Q(\sqrt{-1}) $	✓	$2$	$0$	$0$	$0$	$2$	$0$	$-$	$+$	$-$	$2$	$N(\mathrm{U}(1))$	$q+(1+\beta )q^{5}+(3-\beta )q^{13}+(1+2\beta )q^{17}+\cdots$
5184.2.a.bx	$5184$	$2$	5184.a	1.a	$1$	$2$	$2$	$41.394$	$\Q(\sqrt{3}) $	None	✓	$2$	$0$	$0$	$0$	$2$	$0$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{5}+\beta q^{7}+\beta q^{11}+3q^{13}+4q^{17}+\cdots$

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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.