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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
3319.1.b.a	$3319$	$1$	3319.b	3319.b	$2$	$20$	$20$	$1.656$	\(\Q(\zeta_{82})^+\)	$D_{41}$	\(\Q(\sqrt{-3319}) \)	None	✓	✓	✓	✓	3319.1.b.a	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+\beta _{10}q^{2}+(\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\beta _{5}+\cdots)q^{4}+\cdots\)

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