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Results (3 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.i	$2820$	$1$	2820.m	2820.m	$2$	$2$	$2$	$1.407$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-141}) \)	\(\Q(\sqrt{705}) \)		$8$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+iq^{2}-iq^{3}-q^{4}-q^{5}+q^{6}-iq^{8}+\cdots\)
2820.1.m.l	$2820$	$1$	2820.m	2820.m	$2$	$2$	$2$	$1.407$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-141}) \)	\(\Q(\sqrt{705}) \)		$8$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+iq^{2}-iq^{3}-q^{4}+q^{5}+q^{6}-iq^{8}+\cdots\)
3525.1.l.a	$3525$	$1$	3525.l	705.l	$4$	$4$	$2$	$1.759$	\(\Q(\zeta_{8})\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-47}) \)	\(\Q(\sqrt{705}) \)		$16$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{8}q^{2}+\zeta_{8}^{3}q^{3}+3\zeta_{8}^{2}q^{4}+2q^{6}+\cdots\)