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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
939.1.c.a	$939$	$1$	939.c	939.c	$2$	$1$	$1$	$0.469$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-939}) \)	\(\Q(\sqrt{313}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{4}+q^{9}+q^{12}-2q^{13}+q^{16}+\cdots\)
1252.1.b.a	$1252$	$1$	1252.b	1252.b	$2$	$1$	$1$	$0.625$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-313}) \)	\(\Q(\sqrt{313}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{8}+q^{9}-2q^{13}+q^{16}+\cdots\)
2504.1.h.a	$2504$	$1$	2504.h	2504.h	$2$	$1$	$1$	$1.250$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-626}) \)	\(\Q(\sqrt{313}) \)	✓	$4$	$0$	\(-1\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{8}+3q^{9}+\cdots\)
3443.1.b.a	$3443$	$1$	3443.b	3443.b	$2$	$1$	$1$	$1.718$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-3443}) \)	\(\Q(\sqrt{313}) \)	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-2q^{3}+q^{4}+3q^{9}+q^{11}-2q^{12}+\cdots\)