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Results (8 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
564.1.f.a	$564$	$1$	564.f	564.f	$2$	$1$	$1$	$0.281$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-47}) \), \(\Q(\sqrt{-141}) \)	\(\Q(\sqrt{3}) \)	✓	$4$	$0$	\(-1\)	\(1\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
564.1.f.b	$564$	$1$	564.f	564.f	$2$	$1$	$1$	$0.281$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-47}) \), \(\Q(\sqrt{-141}) \)	\(\Q(\sqrt{3}) \)	✓	$4$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
2256.1.j.a	$2256$	$1$	2256.j	564.f	$2$	$2$	$2$	$1.126$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-141}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-q^{3}-\beta q^{5}+q^{9}+\beta q^{15}-\beta q^{19}+\cdots\)
2256.1.j.b	$2256$	$1$	2256.j	564.f	$2$	$2$	$2$	$1.126$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-141}) \)	None	✓	$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+q^{3}-\beta q^{5}+q^{9}-\beta q^{15}+\beta q^{19}+\cdots\)
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.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.l	$2820$	$1$	2820.m	2820.m	$2$	$2$	$2$	$1.407$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-141}) \)	\(\Q(\sqrt{705}) \)		$8$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+iq^{2}-iq^{3}-q^{4}+q^{5}+q^{6}-iq^{8}+\cdots\)