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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3107.1.c.a	$3107$	$1$	3107.c	3107.c	$2$	$1$	$1$	$1.551$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3107}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q-q^{3}+q^{4}-q^{7}-q^{12}+q^{13}+q^{16}+\cdots\)
3107.1.c.b	$3107$	$1$	3107.c	3107.c	$2$	$1$	$1$	$1.551$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3107}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(0\)	\(1\)	$1$		\(q-q^{3}+q^{4}+q^{7}-q^{12}-q^{13}+q^{16}+\cdots\)
3107.1.c.c	$3107$	$1$	3107.c	3107.c	$2$	$3$	$3$	$1.551$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-3107}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\beta _{1}-\beta _{2})q^{3}+q^{4}+\beta _{1}q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)
3107.1.c.d	$3107$	$1$	3107.c	3107.c	$2$	$3$	$3$	$1.551$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-3107}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\beta _{1}-\beta _{2})q^{3}+q^{4}-\beta _{1}q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)