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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3755.1.c.a	$3755$	$1$	3755.c	3755.c	$2$	$1$	$1$	$1.874$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-751}) \), \(\Q(\sqrt{-3755}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}-q^{5}-q^{9}+q^{16}+2q^{19}-q^{20}+\cdots\)
3755.1.c.b	$3755$	$1$	3755.c	3755.c	$2$	$2$	$2$	$1.874$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3755}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(2\)	\(-1\)	$1$		\(q+(-1+\beta )q^{3}+q^{4}+q^{5}-\beta q^{7}+(1+\cdots)q^{9}+\cdots\)
3755.1.c.d	$3755$	$1$	3755.c	3755.c	$2$	$2$	$2$	$1.874$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3755}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(2\)	\(1\)	$1$		\(q+(1-\beta )q^{3}+q^{4}+q^{5}+\beta q^{7}+(1-\beta )q^{9}+\cdots\)
3755.1.c.f	$3755$	$1$	3755.c	3755.c	$2$	$4$	$4$	$1.874$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-3755}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)	$1$		\(q-\beta _{1}q^{3}+q^{4}-q^{5}+\beta _{3}q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)