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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3159.1.d.g	$3159$	$1$	3159.d	39.d	$2$	$2$	$2$	$1.577$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-39}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{4}-\beta q^{5}-\beta q^{11}-q^{13}+q^{16}+\cdots\)
3159.1.d.h	$3159$	$1$	3159.d	39.d	$2$	$2$	$2$	$1.577$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{4}+(\zeta_{6}+\zeta_{6}^{2})q^{7}+\zeta_{6}q^{13}+q^{16}+\cdots\)
3159.1.d.i	$3159$	$1$	3159.d	39.d	$2$	$2$	$2$	$1.577$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-39}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta q^{2}+2q^{4}-\beta q^{8}-\beta q^{11}-q^{13}+\cdots\)
3159.1.d.j	$3159$	$1$	3159.d	39.d	$2$	$2$	$2$	$1.577$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-39}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta q^{2}+2q^{4}-\beta q^{5}-\beta q^{8}+3q^{10}+\cdots\)