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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 (9 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	67	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6030.2.a.bj	$6030$	$2$	6030.a	1.a	$1$	$3$	$3$	$48.150$	3.3.404.1	None	✓	$1$	$1$	\(-3\)	\(0\)	\(-3\)	\(1\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}+\beta _{1}q^{7}-q^{8}+q^{10}+\cdots\)
6030.2.a.bk	$6030$	$2$	6030.a	1.a	$1$	$3$	$3$	$48.150$	3.3.316.1	None	✓	$1$	$1$	\(-3\)	\(0\)	\(-3\)	\(2\)		$+$	$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-q^{5}+(1-\beta _{1})q^{7}-q^{8}+\cdots\)
6030.2.a.bl	$6030$	$2$	6030.a	1.a	$1$	$3$	$3$	$48.150$	3.3.568.1	None	✓	$1$	$0$	\(-3\)	\(0\)	\(3\)	\(-2\)		$+$	$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}+(-1-\beta _{2})q^{7}-q^{8}+\cdots\)
6030.2.a.bm	$6030$	$2$	6030.a	1.a	$1$	$3$	$3$	$48.150$	3.3.568.1	None	✓	$1$	$0$	\(-3\)	\(0\)	\(3\)	\(-1\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}-\beta _{1}q^{7}-q^{8}-q^{10}+\cdots\)
6030.2.a.bn	$6030$	$2$	6030.a	1.a	$1$	$3$	$3$	$48.150$	3.3.316.1	None	✓	$1$	$1$	\(-3\)	\(0\)	\(3\)	\(2\)		$+$	$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}+(\beta _{1}-\beta _{2})q^{7}-q^{8}+\cdots\)
6030.2.a.bo	$6030$	$2$	6030.a	1.a	$1$	$3$	$3$	$48.150$	3.3.756.1	None	✓	$1$	$1$	\(-3\)	\(0\)	\(3\)	\(3\)		$+$	$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}+(1-\beta _{1})q^{7}-q^{8}+\cdots\)
6030.2.a.bp	$6030$	$2$	6030.a	1.a	$1$	$3$	$3$	$48.150$	3.3.3132.1	None	✓	$1$	$0$	\(-3\)	\(0\)	\(3\)	\(3\)		$+$	$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}+(1+\beta _{1})q^{7}-q^{8}+\cdots\)
6030.2.a.bq	$6030$	$2$	6030.a	1.a	$1$	$3$	$3$	$48.150$	3.3.568.1	None	✓	$1$	$0$	\(3\)	\(0\)	\(-3\)	\(-2\)		$-$	$+$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}+(-1-\beta _{2})q^{7}+q^{8}+\cdots\)
6030.2.a.br	$6030$	$2$	6030.a	1.a	$1$	$3$	$3$	$48.150$	3.3.148.1	None	✓	$1$	$1$	\(3\)	\(0\)	\(-3\)	\(1\)		$-$	$-$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}+\beta _{1}q^{7}+q^{8}-q^{10}+\cdots\)

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