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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	3019	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
6038.2.a.a	$6038$	$2$	6038.a	1.a	$1$	$2$	$2$	$48.214$	\(\Q(\sqrt{5}) \)	None	✓	✓			6038.2.a.a	$1$	$2$	\(2\)	\(-3\)	\(-5\)	\(-6\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1-\beta )q^{3}+q^{4}+(-3+\beta )q^{5}+\cdots\)
6038.2.a.e	$6038$	$2$	6038.a	1.a	$1$	$70$	$70$	$48.214$		None	✓	✓	✓		6038.2.a.e	$1$	$0$	\(70\)	\(25\)	\(18\)	\(50\)		$-$	$+$	$-$		$\mathrm{SU}(2)$

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