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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1439.1.b.a	$1439$	$1$	1439.b	1439.b	$2$	$1$	$1$	$0.718$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1439}) \)	None	✓	$2$	$0$	\(2\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+2q^{2}-q^{3}+3q^{4}-q^{5}-2q^{6}+4q^{8}+\cdots\)
1439.1.b.b	$1439$	$1$	1439.b	1439.b	$2$	$6$	$6$	$0.718$	\(\Q(\zeta_{26})^+\)	$D_{13}$	\(\Q(\sqrt{-1439}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(1+\beta _{2})q^{4}-\beta _{3}q^{5}+\cdots\)
1439.1.b.c	$1439$	$1$	1439.b	1439.b	$2$	$12$	$12$	$0.718$	\(\Q(\zeta_{39})^+\)	$D_{39}$	\(\Q(\sqrt{-1439}) \)	None	✓	$2$	$0$	\(-2\)	\(1\)	\(1\)	\(0\)	$1$		\(q+\beta _{3}q^{2}+\beta _{4}q^{3}+(1+\beta _{6})q^{4}+(-\beta _{4}+\cdots)q^{5}+\cdots\)