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Results (4 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
763.1.b.a	$763$	$1$	763.b	763.b	$2$	$1$	$1$	$0.381$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-763}) \)	\(\Q(\sqrt{109}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+q^{4}-q^{7}+q^{9}+q^{16}+q^{25}-q^{28}+\cdots\)
3052.1.b.a	$3052$	$1$	3052.b	763.b	$2$	$1$	$1$	$1.523$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-763}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{7}+q^{9}-q^{13}-q^{17}+2q^{19}+\cdots\)
3052.1.b.b	$3052$	$1$	3052.b	763.b	$2$	$1$	$1$	$1.523$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-763}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{7}+q^{9}+q^{13}+q^{17}-2q^{19}+\cdots\)
3052.1.b.c	$3052$	$1$	3052.b	763.b	$2$	$2$	$2$	$1.523$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-763}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-q^{7}+q^{9}-\beta q^{13}+\beta q^{17}+q^{25}+\cdots\)