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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		100447	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
100447.2.a.a	$100447$	$2$	100447.a	1.a	$1$	$4133$	$4133$	$802.073$		None	✓	✓	✓	✓	100447.2.a.a	$1$		\(-83\)	\(-151\)	\(-326\)	\(-105\)		$+$	$+$		$\mathrm{SU}(2)$
100447.2.a.b	$100447$	$2$	100447.a	1.a	$1$	$4237$	$4237$	$802.073$		None	✓	✓	✓	✓	100447.2.a.b	$1$		\(82\)	\(151\)	\(328\)	\(99\)		$-$	$-$		$\mathrm{SU}(2)$

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