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Results (6 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3899.1.c.a	$3899$	$1$	3899.c	3899.c	$2$	$1$	$1$	$1.946$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3899}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(1\)	$1$		\(q-q^{3}+q^{4}-q^{5}+q^{7}-q^{12}+2q^{13}+\cdots\)
3899.1.c.b	$3899$	$1$	3899.c	3899.c	$2$	$1$	$1$	$1.946$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-3899}) \)	\(\Q(\sqrt{557}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+q^{4}+q^{7}-q^{9}+q^{16}-q^{25}+q^{28}+\cdots\)
3899.1.c.c	$3899$	$1$	3899.c	3899.c	$2$	$1$	$1$	$1.946$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3899}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(1\)	\(1\)	$1$		\(q+q^{3}+q^{4}+q^{5}+q^{7}+q^{12}-2q^{13}+\cdots\)
3899.1.c.e	$3899$	$1$	3899.c	3899.c	$2$	$2$	$2$	$1.946$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3899}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-\beta q^{3}+q^{4}+\beta q^{5}-q^{7}+q^{9}-\beta q^{12}+\cdots\)
3899.1.c.f	$3899$	$1$	3899.c	3899.c	$2$	$2$	$2$	$1.946$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-3899}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q-\beta q^{3}+q^{4}+\beta q^{5}+q^{7}+2q^{9}-\beta q^{12}+\cdots\)
3899.1.c.h	$3899$	$1$	3899.c	3899.c	$2$	$4$	$4$	$1.946$	\(\Q(\zeta_{24})^+\)	$D_{12}$	\(\Q(\sqrt{-3899}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)	$1$		\(q-\beta _{1}q^{3}+q^{4}+\beta _{3}q^{5}-q^{7}+(1+\beta _{2}+\cdots)q^{9}+\cdots\)