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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1951.1.b.a	$1951$	$1$	1951.b	1951.b	$2$	$1$	$1$	$0.974$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1951}) \)	None	✓	$2$	$0$	\(2\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q+2q^{2}+3q^{4}-q^{5}-q^{7}+4q^{8}+q^{9}+\cdots\)
1951.1.b.b	$1951$	$1$	1951.b	1951.b	$2$	$5$	$5$	$0.974$	\(\Q(\zeta_{22})^+\)	$D_{11}$	\(\Q(\sqrt{-1951}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q+(-1+\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4})q^{2}+(1+\cdots)q^{4}+\cdots\)
1951.1.b.c	$1951$	$1$	1951.b	1951.b	$2$	$10$	$10$	$0.974$	\(\Q(\zeta_{33})^+\)	$D_{33}$	\(\Q(\sqrt{-1951}) \)	None	✓	$2$	$0$	\(-2\)	\(0\)	\(1\)	\(1\)	$1$		\(q+\beta _{3}q^{2}+(1+\beta _{6})q^{4}+(-\beta _{2}-\beta _{9})q^{5}+\cdots\)