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Results (8 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3495.1.g.a	$3495$	$1$	3495.g	3495.g	$2$	$1$	$1$	$1.744$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3495}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q-q^{2}-q^{3}-q^{5}+q^{6}+q^{8}+q^{9}+\cdots\)
3495.1.g.b	$3495$	$1$	3495.g	3495.g	$2$	$1$	$1$	$1.744$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3495}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(1\)	\(0\)	$1$		\(q-q^{2}+q^{3}+q^{5}-q^{6}+q^{8}+q^{9}+\cdots\)
3495.1.g.c	$3495$	$1$	3495.g	3495.g	$2$	$1$	$1$	$1.744$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3495}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(1\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{5}-q^{6}-q^{8}+q^{9}+\cdots\)
3495.1.g.d	$3495$	$1$	3495.g	3495.g	$2$	$1$	$1$	$1.744$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3495}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(-1\)	\(0\)	$1$		\(q+q^{2}+q^{3}-q^{5}+q^{6}-q^{8}+q^{9}+\cdots\)
3495.1.g.f	$3495$	$1$	3495.g	3495.g	$2$	$3$	$3$	$1.744$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-3495}) \)	None	✓	$2$	$0$	\(0\)	\(-3\)	\(-3\)	\(0\)	$1$		\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
3495.1.g.g	$3495$	$1$	3495.g	3495.g	$2$	$3$	$3$	$1.744$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-3495}) \)	None	✓	$2$	$0$	\(0\)	\(-3\)	\(3\)	\(0\)	$1$		\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)
3495.1.g.h	$3495$	$1$	3495.g	3495.g	$2$	$3$	$3$	$1.744$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-3495}) \)	None	✓	$2$	$0$	\(0\)	\(3\)	\(-3\)	\(0\)	$1$		\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-q^{5}+\beta _{1}q^{6}+\cdots\)
3495.1.g.i	$3495$	$1$	3495.g	3495.g	$2$	$3$	$3$	$1.744$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-3495}) \)	None	✓	$2$	$0$	\(0\)	\(3\)	\(3\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)