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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2195.1.c.a	$2195$	$1$	2195.c	2195.c	$2$	$1$	$1$	$1.095$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-439}) \), \(\Q(\sqrt{-2195}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{4}+q^{5}-q^{9}+2q^{11}+q^{16}-2q^{19}+\cdots\)
2195.1.c.c	$2195$	$1$	2195.c	2195.c	$2$	$2$	$2$	$1.095$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-2195}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-\beta q^{3}+q^{4}+q^{5}+q^{9}-2q^{11}-\beta q^{12}+\cdots\)
2195.1.c.f	$2195$	$1$	2195.c	2195.c	$2$	$4$	$4$	$1.095$	\(\Q(\zeta_{16})^+\)	$D_{8}$	\(\Q(\sqrt{-2195}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)	$1$		\(q-\beta _{1}q^{3}+q^{4}-q^{5}+(1+\beta _{2})q^{9}-\beta _{1}q^{12}+\cdots\)