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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 (8 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	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
9072.2.a.f	$9072$	$2$	9072.a	1.a	$1$	$1$	$1$	$72.440$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+q^{7}+q^{11}-6q^{13}+5q^{17}+\cdots\)
9072.2.a.y	$9072$	$2$	9072.a	1.a	$1$	$2$	$2$	$72.440$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{5}+q^{7}+(1+3\beta )q^{11}+\cdots\)
9072.2.a.bd	$9072$	$2$	9072.a	1.a	$1$	$2$	$2$	$72.440$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{5}+q^{7}+2q^{11}+2\beta q^{13}+\cdots\)
9072.2.a.bp	$9072$	$2$	9072.a	1.a	$1$	$2$	$2$	$72.440$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{5}+q^{7}+(-1+3\beta )q^{11}+\cdots\)
9072.2.a.bv	$9072$	$2$	9072.a	1.a	$1$	$3$	$3$	$72.440$	3.3.321.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{5}+q^{7}+(1+\beta _{1}+2\beta _{2})q^{11}+\cdots\)
9072.2.a.cd	$9072$	$2$	9072.a	1.a	$1$	$3$	$3$	$72.440$	3.3.321.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(5\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(2+\beta _{2})q^{5}+q^{7}+(-1+2\beta _{1}+\beta _{2})q^{11}+\cdots\)
9072.2.a.ch	$9072$	$2$	9072.a	1.a	$1$	$4$	$4$	$72.440$	\(\Q(\sqrt{3}, \sqrt{19})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{5}+q^{7}+(\beta _{1}+\beta _{2})q^{11}+(-2+\cdots)q^{13}+\cdots\)
9072.2.a.ci	$9072$	$2$	9072.a	1.a	$1$	$4$	$4$	$72.440$	\(\Q(\sqrt{3}, \sqrt{7})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(4\)		$-$	$-$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(\beta _{1}-\beta _{2})q^{5}+q^{7}+\beta _{2}q^{11}+4q^{13}+\cdots\)

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