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Results (8 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
611.1.c.a	$611$	$1$	611.c	611.c	$2$	$2$	$2$	$0.305$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-611}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+(-1+\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
611.1.c.b	$611$	$1$	611.c	611.c	$2$	$2$	$2$	$0.305$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-611}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(1\)	\(0\)	$1$		\(q+(-1+\beta )q^{3}+q^{4}+(1-\beta )q^{5}+(1+\cdots)q^{9}+\cdots\)
2444.1.h.a	$2444$	$1$	2444.h	611.c	$2$	$1$	$1$	$1.220$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-611}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-2\)	\(0\)	$1$		\(q-q^{3}-2q^{5}+q^{11}-q^{13}+2q^{15}+\cdots\)
2444.1.h.b	$2444$	$1$	2444.h	611.c	$2$	$1$	$1$	$1.220$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-611}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(2\)	\(0\)	$1$		\(q-q^{3}+2q^{5}-q^{11}+q^{13}-2q^{15}+\cdots\)
2444.1.h.c	$2444$	$1$	2444.h	611.c	$2$	$4$	$4$	$1.220$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-611}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(-2\)	\(0\)	$1$		\(q+(1-\beta _{1}+\beta _{3})q^{3}+(-1-\beta _{3})q^{5}+\cdots\)
2444.1.h.d	$2444$	$1$	2444.h	611.c	$2$	$4$	$4$	$1.220$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-611}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(2\)	\(0\)	$1$		\(q+(1-\beta _{1}+\beta _{3})q^{3}+(1+\beta _{3})q^{5}+(1+\cdots)q^{9}+\cdots\)
3055.1.g.e	$3055$	$1$	3055.g	3055.g	$2$	$2$	$2$	$1.525$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-235}) \), \(\Q(\sqrt{-611}) \)	\(\Q(\sqrt{65}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{4}-iq^{5}+q^{9}-iq^{13}+q^{16}+\cdots\)
3055.1.g.j	$3055$	$1$	3055.g	3055.g	$2$	$8$	$8$	$1.525$	\(\Q(\zeta_{20})\)	$D_{10}$	\(\Q(\sqrt{-611}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{20}^{4}+\zeta_{20}^{6})q^{3}-q^{4}-\zeta_{20}q^{5}+\cdots\)