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Results (4 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2084.1.d.a	$2084$	$1$	2084.d	2084.d	$2$	$1$	$1$	$1.040$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-521}) \)	\(\Q(\sqrt{521}) \)	✓	✓			2084.1.d.a	$4$	$0$	\(1\)	\(0\)	\(2\)	\(0\)	$1$		\(q+q^{2}+q^{4}+2q^{5}+q^{8}-q^{9}+2q^{10}+\cdots\)
2084.1.d.b	$2084$	$1$	2084.d	2084.d	$2$	$2$	$2$	$1.040$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-521}) \)	None	✓	✓			2084.1.d.b	$4$	$0$	\(2\)	\(0\)	\(-4\)	\(0\)	$1$		\(q+q^{2}-\beta q^{3}+q^{4}-2q^{5}-\beta q^{6}-\beta q^{7}+\cdots\)
2084.1.d.c	$2084$	$1$	2084.d	2084.d	$2$	$4$	$4$	$1.040$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-521}) \)	None	✓	✓			2084.1.d.c	$4$	$0$	\(4\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+\beta _{1}q^{7}+\cdots\)
2084.1.d.d	$2084$	$1$	2084.d	2084.d	$2$	$8$	$8$	$1.040$	\(\Q(\zeta_{32})^+\)	$D_{16}$	\(\Q(\sqrt{-521}) \)	None	✓	✓	✓		2084.1.d.d	$4$	$0$	\(-8\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+\beta _{5}q^{3}+q^{4}+\beta _{4}q^{5}-\beta _{5}q^{6}+\cdots\)