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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1931.1.b.a	$1931$	$1$	1931.b	1931.b	$2$	$1$	$1$	$0.964$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1931}) \)	None	✓	$2$	$0$	\(0\)	\(2\)	\(-1\)	\(-1\)	$1$		\(q+2q^{3}+q^{4}-q^{5}-q^{7}+3q^{9}-q^{11}+\cdots\)
1931.1.b.c	$1931$	$1$	1931.b	1931.b	$2$	$3$	$3$	$0.964$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-1931}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
1931.1.b.d	$1931$	$1$	1931.b	1931.b	$2$	$6$	$6$	$0.964$	\(\Q(\zeta_{21})^+\)	$D_{21}$	\(\Q(\sqrt{-1931}) \)	None	✓	$2$	$0$	\(0\)	\(-2\)	\(1\)	\(1\)	$1$		\(q+\beta _{3}q^{3}+q^{4}+\beta _{4}q^{5}+(-\beta _{2}+\beta _{5})q^{7}+\cdots\)