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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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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	1013	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6078.2.a.b	$6078$	$2$	6078.a	1.a	$1$	$1$	$1$	$48.533$	\(\Q\)	None	✓	✓			6078.2.a.b	$1$	$1$	\(1\)	\(-1\)	\(-4\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-4q^{5}-q^{6}-2q^{7}+\cdots\)
6078.2.a.h	$6078$	$2$	6078.a	1.a	$1$	$22$	$22$	$48.533$		None	✓	✓	✓		6078.2.a.h	$1$	$1$	\(22\)	\(-22\)	\(-5\)	\(-7\)		$-$	$+$	$-$	$+$		$\mathrm{SU}(2)$

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