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Level	Weight	Analytic conductor	\(Nk^2\)	Dim.

Bad \(p\)	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	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	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
2839.1.c.a	$2839$	$1$	2839.c	2839.c	$2$	$6$	$6$	$1.417$	\(\Q(\zeta_{26})^+\)	$D_{13}$	\(\Q(\sqrt{-2839}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+\beta _{4}q^{2}+(1-\beta _{5})q^{4}-\beta _{3}q^{5}+(-\beta _{1}+\cdots)q^{8}+\cdots\)
2839.1.c.b	$2839$	$1$	2839.c	2839.c	$2$	$6$	$6$	$1.417$	\(\Q(\zeta_{26})^+\)	$D_{13}$	\(\Q(\sqrt{-2839}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(1\)	\(0\)	$1$		\(q+\beta _{4}q^{2}+(1-\beta _{5})q^{4}+\beta _{3}q^{5}+(-\beta _{1}+\cdots)q^{8}+\cdots\)

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