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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*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
225.2.a.c	$225$	$2$	225.a	1.a	$1$	$1$	$1$	$1.797$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	✓	✓	✓	225.2.a.c	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-5\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{4}-5q^{7}-5q^{13}+4q^{16}-q^{19}+\cdots\)

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