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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
3279.1.d.a	$3279$	$1$	3279.d	3279.d	$2$	$1$	$1$	$1.636$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-3279}) \)	\(\Q(\sqrt{1093}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q-q^{3}-q^{4}-2q^{7}+q^{9}+q^{12}-2q^{13}+\cdots\)
3279.1.d.b	$3279$	$1$	3279.d	3279.d	$2$	$4$	$4$	$1.636$	\(\Q(\zeta_{10})\)	$D_{10}$	None	\(\Q(\sqrt{1093}) \)		$4$	$0$	\(0\)	\(1\)	\(0\)	\(2\)	$1$		\(q+\zeta_{10}q^{3}-q^{4}+(-\zeta_{10}^{2}+\zeta_{10}^{3}+\cdots)q^{7}+\cdots\)

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