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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2723.1.c.a	$2723$	$1$	2723.c	2723.c	$2$	$1$	$1$	$1.359$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2723}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(0\)	\(1\)	$1$		\(q-q^{3}+q^{4}+q^{7}-q^{11}-q^{12}+q^{16}+\cdots\)
2723.1.c.b	$2723$	$1$	2723.c	2723.c	$2$	$1$	$1$	$1.359$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-2723}) \)	\(\Q(\sqrt{389}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+q^{4}-q^{7}-q^{9}+2q^{11}+q^{16}+q^{25}+\cdots\)
2723.1.c.c	$2723$	$1$	2723.c	2723.c	$2$	$1$	$1$	$1.359$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2723}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(0\)	\(1\)	$1$		\(q+q^{3}+q^{4}+q^{7}-q^{11}+q^{12}+q^{16}+\cdots\)
2723.1.c.d	$2723$	$1$	2723.c	2723.c	$2$	$2$	$2$	$1.359$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-2723}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-\beta q^{3}+q^{4}-q^{7}+2q^{9}-q^{11}-\beta q^{12}+\cdots\)