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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2747.1.c.a	$2747$	$1$	2747.c	2747.c	$2$	$1$	$1$	$1.371$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2747}) \)	None	✓	$2$	$0$	\(0\)	\(-2\)	\(0\)	\(1\)	$1$		\(q-2q^{3}+q^{4}+q^{7}+3q^{9}+q^{11}-2q^{12}+\cdots\)
2747.1.c.b	$2747$	$1$	2747.c	2747.c	$2$	$1$	$1$	$1.371$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2747}) \)	None	✓	$2$	$0$	\(0\)	\(2\)	\(0\)	\(-1\)	$1$		\(q+2q^{3}+q^{4}-q^{7}+3q^{9}-q^{11}+2q^{12}+\cdots\)
2747.1.c.c	$2747$	$1$	2747.c	2747.c	$2$	$3$	$3$	$1.371$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-2747}) \)	None	✓	$2$	$0$	\(0\)	\(-3\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{4}-\beta _{1}q^{7}+(\beta _{1}-\beta _{2})q^{11}+\cdots\)
2747.1.c.d	$2747$	$1$	2747.c	2747.c	$2$	$3$	$3$	$1.371$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-2747}) \)	None	✓	$2$	$0$	\(0\)	\(3\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{4}+\beta _{1}q^{7}+(-\beta _{1}+\beta _{2})q^{11}+\cdots\)