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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2820.1.m.j	$2820$	$1$	2820.m	2820.m	$2$	$2$	$2$	$1.407$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-141}) \)	\(\Q(\sqrt{235}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-iq^{3}-q^{4}-iq^{5}-q^{6}+iq^{8}+\cdots\)
2820.1.m.k	$2820$	$1$	2820.m	2820.m	$2$	$2$	$2$	$1.407$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-141}) \)	\(\Q(\sqrt{235}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-iq^{3}-q^{4}+iq^{5}-q^{6}+iq^{8}+\cdots\)
2820.1.m.m	$2820$	$1$	2820.m	2820.m	$2$	$4$	$4$	$1.407$	\(\Q(\zeta_{12})\)	$D_{6}$	None	\(\Q(\sqrt{235}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{12}^{3}q^{2}+\zeta_{12}^{5}q^{3}-q^{4}-\zeta_{12}^{3}q^{5}+\cdots\)
2820.1.m.n	$2820$	$1$	2820.m	2820.m	$2$	$4$	$4$	$1.407$	\(\Q(\zeta_{12})\)	$D_{6}$	None	\(\Q(\sqrt{235}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{12}^{3}q^{2}+\zeta_{12}q^{3}-q^{4}+\zeta_{12}^{3}q^{5}+\cdots\)