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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
787.1.b.a	$787$	$1$	787.b	787.b	$2$	$2$	$2$	$0.393$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-787}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+q^{4}+(-1+\beta )q^{7}+q^{9}-\beta q^{11}+\cdots\)
3148.1.b.a	$3148$	$1$	3148.b	787.b	$2$	$1$	$1$	$1.571$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-787}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-q^{7}+q^{9}+2q^{11}-q^{19}-q^{23}+\cdots\)
3148.1.b.b	$3148$	$1$	3148.b	787.b	$2$	$4$	$4$	$1.571$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-787}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+\beta _{1}q^{7}+q^{9}+\beta _{3}q^{11}+\beta _{2}q^{19}+\cdots\)