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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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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 (34 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	7	11	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
9240.2.a.c	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$-1$	$1$	$+$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}-q^{11}+2q^{13}+\cdots$
9240.2.a.d	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$-1$	$1$	$+$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}-q^{11}+2q^{13}+\cdots$
9240.2.a.g	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$-1$	$+$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}-q^{11}-4q^{13}+\cdots$
9240.2.a.h	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$-1$	$+$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}-q^{11}-4q^{13}+\cdots$
9240.2.a.i	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$-1$	$+$	$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}-q^{11}+2q^{13}+\cdots$
9240.2.a.j	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$-1$	$-$	$+$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}+q^{11}-4q^{13}+\cdots$
9240.2.a.m	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$-1$	$-$	$+$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}+q^{11}+6q^{13}+\cdots$
9240.2.a.n	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$1$	$-$	$+$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}-q^{11}-q^{15}+\cdots$
9240.2.a.o	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$1$	$-$	$+$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}-q^{11}+6q^{13}+\cdots$
9240.2.a.p	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$1$	$+$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}+q^{11}-4q^{13}+\cdots$
9240.2.a.s	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$0$	$0$	$-1$	$1$	$1$	$+$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}+q^{11}+2q^{13}+\cdots$
9240.2.a.t	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-1$	$-1$	$+$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}+q^{9}-q^{11}-4q^{13}+\cdots$
9240.2.a.x	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-1$	$-1$	$+$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}+q^{9}-q^{11}+2q^{13}+\cdots$
9240.2.a.y	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-1$	$-1$	$+$	$-$	$+$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}+q^{9}-q^{11}+6q^{13}+\cdots$
9240.2.a.z	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-1$	$-1$	$-$	$-$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}+q^{9}+q^{11}-q^{15}+\cdots$
9240.2.a.ba	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$-1$	$1$	$-$	$-$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}-q^{11}-6q^{13}+\cdots$
9240.2.a.bh	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$1$	$1$	$+$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{7}+q^{9}-q^{11}-6q^{13}+\cdots$
9240.2.a.bj	$9240$	$2$	9240.a	1.a	$1$	$1$	$1$	$73.782$	$\Q$	None	✓	$1$	$0$	$0$	$1$	$1$	$1$	$+$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{7}+q^{9}-q^{11}+2q^{13}+\cdots$
9240.2.a.bl	$9240$	$2$	9240.a	1.a	$1$	$2$	$2$	$73.782$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$-2$	$-2$	$-2$	$+$	$+$	$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}+q^{11}+2q^{13}+\cdots$
9240.2.a.bm	$9240$	$2$	9240.a	1.a	$1$	$2$	$2$	$73.782$	$\Q(\sqrt{33}) $	None	✓	$1$	$0$	$0$	$-2$	$-2$	$2$	$+$	$+$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}-q^{11}+2\beta q^{13}+\cdots$
9240.2.a.bp	$9240$	$2$	9240.a	1.a	$1$	$2$	$2$	$73.782$	$\Q(\sqrt{73}) $	None	✓	$1$	$0$	$0$	$-2$	$2$	$2$	$+$	$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}+q^{11}+2q^{13}+\cdots$
9240.2.a.bq	$9240$	$2$	9240.a	1.a	$1$	$2$	$2$	$73.782$	$\Q(\sqrt{5}) $	None	✓	$1$	$0$	$0$	$2$	$-2$	$2$	$+$	$-$	$+$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}+q^{11}-\beta q^{13}+\cdots$
9240.2.a.br	$9240$	$2$	9240.a	1.a	$1$	$2$	$2$	$73.782$	$\Q(\sqrt{41}) $	None	✓	$1$	$0$	$0$	$2$	$-2$	$2$	$+$	$-$	$+$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}+q^{11}-q^{15}+\cdots$
9240.2.a.bs	$9240$	$2$	9240.a	1.a	$1$	$2$	$2$	$73.782$	$\Q(\sqrt{17}) $	None	✓	$1$	$0$	$0$	$2$	$2$	$-2$	$+$	$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-q^{7}+q^{9}+q^{11}-2\beta q^{13}+\cdots$
9240.2.a.bt	$9240$	$2$	9240.a	1.a	$1$	$2$	$2$	$73.782$	$\Q(\sqrt{2}) $	None	✓	$1$	$0$	$0$	$2$	$2$	$-2$	$+$	$-$	$-$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-q^{7}+q^{9}+q^{11}+(2+\beta )q^{13}+\cdots$
9240.2.a.bv	$9240$	$2$	9240.a	1.a	$1$	$2$	$2$	$73.782$	$\Q(\sqrt{57}) $	None	✓	$1$	$0$	$0$	$2$	$2$	$2$	$+$	$-$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{7}+q^{9}-q^{11}+2q^{13}+\cdots$
9240.2.a.by	$9240$	$2$	9240.a	1.a	$1$	$3$	$3$	$73.782$	3.3.6616.1	None	✓	$1$	$0$	$0$	$-3$	$3$	$3$	$-$	$+$	$-$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+q^{7}+q^{9}-q^{11}+(-1+\cdots)q^{13}+\cdots$
9240.2.a.bz	$9240$	$2$	9240.a	1.a	$1$	$3$	$3$	$73.782$	3.3.4860.1	None	✓	$1$	$0$	$0$	$3$	$-3$	$3$	$-$	$-$	$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+q^{7}+q^{9}-q^{11}+(2+\beta _{1}+\cdots)q^{13}+\cdots$
9240.2.a.ca	$9240$	$2$	9240.a	1.a	$1$	$4$	$4$	$73.782$	4.4.13968.1	None	✓	$1$	$0$	$0$	$-4$	$4$	$-4$	$-$	$+$	$-$	$+$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}+q^{9}+q^{11}+(1+\beta _{1}+\cdots)q^{13}+\cdots$
9240.2.a.cd	$9240$	$2$	9240.a	1.a	$1$	$4$	$4$	$73.782$	4.4.30056.1	None	✓	$1$	$0$	$0$	$4$	$-4$	$-4$	$-$	$-$	$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}-q^{7}+q^{9}+q^{11}-\beta _{2}q^{13}+\cdots$
9240.2.a.cg	$9240$	$2$	9240.a	1.a	$1$	$4$	$4$	$73.782$	4.4.11324.1	None	✓	$1$	$0$	$0$	$4$	$4$	$-4$	$-$	$-$	$-$	$+$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-q^{7}+q^{9}-q^{11}+(1+\beta _{2}+\cdots)q^{13}+\cdots$
9240.2.a.ci	$9240$	$2$	9240.a	1.a	$1$	$5$	$5$	$73.782$	5.5.1457888.1	None	✓	$1$	$0$	$0$	$-5$	$-5$	$-5$	$-$	$+$	$+$	$+$	$+$	$-$	$2^{4}$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-q^{7}+q^{9}-q^{11}+(1-\beta _{4})q^{13}+\cdots$
9240.2.a.cj	$9240$	$2$	9240.a	1.a	$1$	$5$	$5$	$73.782$	5.5.9229792.1	None	✓	$1$	$0$	$0$	$-5$	$-5$	$5$	$-$	$+$	$+$	$-$	$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}+q^{7}+q^{9}+q^{11}+(-1+\cdots)q^{13}+\cdots$
9240.2.a.ck	$9240$	$2$	9240.a	1.a	$1$	$6$	$6$	$73.782$	6.6.235324384.1	None	✓	$1$	$0$	$0$	$6$	$6$	$6$	$-$	$-$	$-$	$-$	$-$	$-$	$2^{5}$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{7}+q^{9}+q^{11}+(1-\beta _{2}+\cdots)q^{13}+\cdots$

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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.