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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3035.1.c.a	$3035$	$1$	3035.c	3035.c	$2$	$1$	$1$	$1.515$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3035}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(1\)	\(0\)	$1$		\(q-q^{3}+q^{4}+q^{5}-q^{11}-q^{12}-q^{15}+\cdots\)
3035.1.c.b	$3035$	$1$	3035.c	3035.c	$2$	$1$	$1$	$1.515$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3035}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(-1\)	\(0\)	$1$		\(q+q^{3}+q^{4}-q^{5}-q^{11}+q^{12}-q^{15}+\cdots\)
3035.1.c.c	$3035$	$1$	3035.c	3035.c	$2$	$3$	$3$	$1.515$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-3035}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-3\)	\(0\)	$1$		\(q+\beta _{1}q^{3}+q^{4}-q^{5}+(1+\beta _{2})q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots\)
3035.1.c.d	$3035$	$1$	3035.c	3035.c	$2$	$3$	$3$	$1.515$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-3035}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(3\)	\(0\)	$1$		\(q-\beta _{1}q^{3}+q^{4}+q^{5}+(1+\beta _{2})q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots\)