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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Results (3 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	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	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	7	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
294.6.a.i	$294$	$6$	294.a	1.a	$1$	$1$	$1$	$47.153$	\(\Q\)	None	✓				42.6.a.f	$1$	$1$	\(4\)	\(-9\)	\(-24\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}-9q^{3}+2^{4}q^{4}-24q^{5}-6^{2}q^{6}+\cdots\)
294.6.a.j	$294$	$6$	294.a	1.a	$1$	$1$	$1$	$47.153$	\(\Q\)	None	✓				42.6.e.a	$1$	$1$	\(4\)	\(-9\)	\(6\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}-9q^{3}+2^{4}q^{4}+6q^{5}-6^{2}q^{6}+\cdots\)
294.6.a.s	$294$	$6$	294.a	1.a	$1$	$2$	$2$	$47.153$	\(\Q(\sqrt{4705}) \)	None	✓	✓	✓		294.6.a.s	$1$	$1$	\(8\)	\(-18\)	\(-18\)	\(0\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+4q^{2}-9q^{3}+2^{4}q^{4}+(-9-\beta )q^{5}+\cdots\)

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