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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3379.1.b.a	$3379$	$1$	3379.b	3379.b	$2$	$1$	$1$	$1.686$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-3379}) \)	\(\Q(\sqrt{109}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(-2\)	$1$		\(q+q^{4}-2q^{5}-2q^{7}+q^{9}+q^{16}-2q^{20}+\cdots\)
3379.1.b.c	$3379$	$1$	3379.b	3379.b	$2$	$2$	$2$	$1.686$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3379}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}+q^{9}-\beta q^{11}+\beta q^{13}+q^{16}+\cdots\)
3379.1.b.d	$3379$	$1$	3379.b	3379.b	$2$	$4$	$4$	$1.686$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-3379}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}-\beta _{2}q^{5}+\beta _{2}q^{7}+q^{9}-\beta _{1}q^{11}+\cdots\)