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Results (4 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2867.1.b.a	$2867$	$1$	2867.b	2867.b	$2$	$1$	$1$	$1.431$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-47}) \), \(\Q(\sqrt{-2867}) \)	\(\Q(\sqrt{61}) \)	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-2q^{3}+q^{4}+3q^{9}-2q^{12}+q^{16}+\cdots\)
2867.1.b.b	$2867$	$1$	2867.b	2867.b	$2$	$1$	$1$	$1.431$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2867}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{4}-2q^{11}-q^{12}+q^{16}+\cdots\)
2867.1.b.c	$2867$	$1$	2867.b	2867.b	$2$	$1$	$1$	$1.431$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2867}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{4}+2q^{11}-q^{12}+q^{16}+\cdots\)
2867.1.b.d	$2867$	$1$	2867.b	2867.b	$2$	$2$	$2$	$1.431$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-2867}) \)	None	✓	$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{4}+q^{12}+q^{16}-\beta q^{23}+\cdots\)