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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3063.1.d.a	$3063$	$1$	3063.d	3063.d	$2$	$1$	$1$	$1.529$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-3063}) \)	\(\Q(\sqrt{1021}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{3}-q^{4}+q^{9}-q^{12}+q^{16}+q^{25}+\cdots\)
3063.1.d.b	$3063$	$1$	3063.d	3063.d	$2$	$2$	$2$	$1.529$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3063}) \)	None	✓	$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q-\beta q^{2}+q^{3}+q^{4}-\beta q^{6}+q^{9}+q^{12}+\cdots\)
3063.1.d.c	$3063$	$1$	3063.d	3063.d	$2$	$4$	$4$	$1.529$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-3063}) \)	None	✓	$4$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)