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Results (5 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
739.1.b.a	$739$	$1$	739.b	739.b	$2$	$2$	$2$	$0.369$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-739}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}+(-1+\beta )q^{5}+q^{9}-\beta q^{11}+\cdots\)
2956.1.c.a	$2956$	$1$	2956.c	739.b	$2$	$1$	$1$	$1.475$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-739}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+2q^{5}+q^{9}-q^{11}-q^{17}+3q^{25}+\cdots\)
2956.1.c.b	$2956$	$1$	2956.c	739.b	$2$	$4$	$4$	$1.475$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-739}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+\beta _{3}q^{5}+q^{9}+\beta _{1}q^{11}+(1-\beta _{1}+\beta _{3})q^{17}+\cdots\)
3695.1.d.b	$3695$	$1$	3695.d	3695.d	$2$	$1$	$1$	$1.844$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-739}) \), \(\Q(\sqrt{-3695}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{4}+q^{5}-q^{9}+2q^{11}+q^{16}-q^{20}+\cdots\)
3695.1.d.h	$3695$	$1$	3695.d	3695.d	$2$	$4$	$4$	$1.844$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-739}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{4}-\zeta_{10}^{3}q^{5}-q^{9}+(-\zeta_{10}+\zeta_{10}^{4}+\cdots)q^{11}+\cdots\)