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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3939.1.e.a	$3939$	$1$	3939.e	3939.e	$2$	$1$	$1$	$1.966$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-303}) \), \(\Q(\sqrt{-3939}) \)	\(\Q(\sqrt{13}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{4}+q^{9}-q^{12}+q^{13}+q^{16}+\cdots\)
3939.1.e.b	$3939$	$1$	3939.e	3939.e	$2$	$1$	$1$	$1.966$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-303}) \), \(\Q(\sqrt{-3939}) \)	\(\Q(\sqrt{13}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{4}+q^{9}+q^{12}+q^{13}+q^{16}+\cdots\)
3939.1.e.c	$3939$	$1$	3939.e	3939.e	$2$	$2$	$2$	$1.966$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3939}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-q^{3}+q^{4}-\beta q^{5}-\beta q^{7}+q^{9}-q^{12}+\cdots\)
3939.1.e.d	$3939$	$1$	3939.e	3939.e	$2$	$2$	$2$	$1.966$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3939}) \)	None	✓	$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+q^{3}+q^{4}-\beta q^{5}+\beta q^{7}+q^{9}+q^{12}+\cdots\)