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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2291.1.c.a	$2291$	$1$	2291.c	2291.c	$2$	$1$	$1$	$1.143$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2291}) \)	None	✓	$2$	$0$	\(0\)	\(-2\)	\(-1\)	\(0\)	$1$		\(q-2q^{3}+q^{4}-q^{5}+3q^{9}-2q^{12}+\cdots\)
2291.1.c.b	$2291$	$1$	2291.c	2291.c	$2$	$1$	$1$	$1.143$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-2291}) \)	None	✓	$2$	$0$	\(0\)	\(2\)	\(-1\)	\(0\)	$1$		\(q+2q^{3}+q^{4}-q^{5}+3q^{9}+2q^{12}+\cdots\)
2291.1.c.c	$2291$	$1$	2291.c	2291.c	$2$	$3$	$3$	$1.143$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-2291}) \)	None	✓	$2$	$0$	\(0\)	\(-3\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{4}-\beta _{1}q^{5}-q^{12}+(\beta _{1}-\beta _{2})q^{13}+\cdots\)
2291.1.c.d	$2291$	$1$	2291.c	2291.c	$2$	$3$	$3$	$1.143$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-2291}) \)	None	✓	$2$	$0$	\(0\)	\(3\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{4}-\beta _{1}q^{5}+q^{12}+(\beta _{1}-\beta _{2})q^{13}+\cdots\)