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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1796.1.d.a	$1796$	$1$	1796.d	1796.d	$2$	$1$	$1$	$0.896$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-449}) \)	\(\Q(\sqrt{449}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-q^{2}+q^{4}-2q^{5}-q^{8}-q^{9}+2q^{10}+\cdots\)
3143.1.d.a	$3143$	$1$	3143.d	3143.d	$2$	$1$	$1$	$1.569$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-3143}) \)	\(\Q(\sqrt{449}) \)	✓	$4$	$0$	\(2\)	\(0\)	\(0\)	\(1\)	$1$		\(q+2q^{2}+3q^{4}+q^{7}+4q^{8}-q^{9}-2q^{11}+\cdots\)
3592.1.b.a	$3592$	$1$	3592.b	3592.b	$2$	$1$	$1$	$1.793$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-898}) \)	\(\Q(\sqrt{449}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{8}+q^{9}-2q^{11}+q^{16}+\cdots\)