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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2056.1.e.a	$2056$	$1$	2056.e	2056.e	$2$	$1$	$1$	$1.026$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-514}) \)	\(\Q(\sqrt{257}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{8}+q^{9}-2q^{11}+q^{16}+\cdots\)
2056.1.e.c	$2056$	$1$	2056.e	2056.e	$2$	$2$	$2$	$1.026$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-514}) \)	None	✓	$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{4}-\beta q^{5}+\beta q^{7}+q^{8}+q^{9}+\cdots\)
2056.1.e.d	$2056$	$1$	2056.e	2056.e	$2$	$4$	$4$	$1.026$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-514}) \)	None	✓	$4$	$0$	\(-4\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}+q^{4}-\beta _{1}q^{5}-\beta _{3}q^{7}-q^{8}+\cdots\)