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Results (3 matches)

 

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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2843.1.b.a	$2843$	$1$	2843.b	2843.b	$2$	$1$	$1$	$1.419$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2843}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{4}-q^{12}-q^{13}+q^{16}-q^{17}+\cdots\)
2843.1.b.b	$2843$	$1$	2843.b	2843.b	$2$	$2$	$2$	$1.419$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-2843}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+(-1+\beta )q^{3}+q^{4}+(1-\beta )q^{9}+(-1+\cdots)q^{12}+\cdots\)
2843.1.b.d	$2843$	$1$	2843.b	2843.b	$2$	$4$	$4$	$1.419$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-2843}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+\beta _{1}q^{3}+q^{4}+(1+\beta _{2})q^{9}+\beta _{1}q^{12}+\cdots\)