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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3011.1.b.a	$3011$	$1$	3011.b	3011.b	$2$	$1$	$1$	$1.503$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3011}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q-q^{3}+q^{4}-q^{5}+2q^{11}-q^{12}+q^{15}+\cdots\)
3011.1.b.b	$3011$	$1$	3011.b	3011.b	$2$	$3$	$3$	$1.503$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-3011}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q-\beta _{1}q^{3}+q^{4}+\beta _{2}q^{5}+(1+\beta _{2})q^{9}+\cdots\)
3011.1.b.c	$3011$	$1$	3011.b	3011.b	$2$	$6$	$6$	$1.503$	\(\Q(\zeta_{21})^+\)	$D_{21}$	\(\Q(\sqrt{-3011}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(1\)	\(0\)	$1$		\(q+\beta _{4}q^{3}+q^{4}+\beta _{1}q^{5}+(2-\beta _{1}+\beta _{3}+\cdots)q^{9}+\cdots\)