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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2239.1.b.a	$2239$	$1$	2239.b	2239.b	$2$	$2$	$2$	$1.117$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-2239}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(4\)	\(-1\)	$1$		\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}+2q^{5}+(-1+\cdots)q^{7}+\cdots\)
2239.1.b.b	$2239$	$1$	2239.b	2239.b	$2$	$3$	$3$	$1.117$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-2239}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{1}q^{5}+(-1+\cdots)q^{7}+\cdots\)
2239.1.b.c	$2239$	$1$	2239.b	2239.b	$2$	$12$	$12$	$1.117$	\(\Q(\zeta_{35})^+\)	$D_{35}$	\(\Q(\sqrt{-2239}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(-4\)	\(1\)	$1$		\(q+\beta _{9}q^{2}+(-\beta _{3}-\beta _{5}+\beta _{6}-\beta _{7}-\beta _{10}+\cdots)q^{4}+\cdots\)