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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1992.1.c.a	$1992$	$1$	1992.c	1992.c	$2$	$1$	$1$	$0.994$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-498}) \)	\(\Q(\sqrt{249}) \)	✓	$4$	$0$	\(-1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{8}+q^{9}+\cdots\)
1992.1.c.b	$1992$	$1$	1992.c	1992.c	$2$	$1$	$1$	$0.994$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-498}) \)	\(\Q(\sqrt{249}) \)	✓	$4$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
3735.1.g.a	$3735$	$1$	3735.g	415.d	$2$	$1$	$1$	$1.864$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-415}) \)	\(\Q(\sqrt{249}) \)	✓	$4$	$0$	\(-2\)	\(0\)	\(1\)	\(0\)	$1$		\(q-2q^{2}+3q^{4}+q^{5}-4q^{8}-2q^{10}+\cdots\)
3735.1.g.b	$3735$	$1$	3735.g	415.d	$2$	$1$	$1$	$1.864$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-415}) \)	\(\Q(\sqrt{249}) \)	✓	$4$	$0$	\(2\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+2q^{2}+3q^{4}-q^{5}+4q^{8}-2q^{10}+\cdots\)