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Note: Search results may be incomplete due to uncomputed quantities: CM/RM discriminant (18154 objects)

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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	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
3427.1.b.a	$3427$	$1$	3427.b	3427.b	$2$	$1$	$1$	$1.710$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3427}) \)	None	✓	✓			3427.1.b.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}+q^{9}-q^{11}+q^{16}+q^{23}+q^{25}+\cdots\)
3427.1.b.b	$3427$	$1$	3427.b	3427.b	$2$	$1$	$1$	$1.710$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3427}) \)	None	✓	✓			3427.1.b.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}+q^{9}+q^{11}+q^{16}-q^{23}+q^{25}+\cdots\)

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