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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3331.1.b.a	$3331$	$1$	3331.b	3331.b	$2$	$1$	$1$	$1.662$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3331}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(2\)	$1$		\(q+q^{4}-q^{5}+2q^{7}+q^{9}-q^{13}+q^{16}+\cdots\)
3331.1.b.b	$3331$	$1$	3331.b	3331.b	$2$	$2$	$2$	$1.662$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3331}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q+q^{4}+(-1+\beta )q^{5}-\beta q^{7}+q^{9}-\beta q^{13}+\cdots\)
3331.1.b.c	$3331$	$1$	3331.b	3331.b	$2$	$4$	$4$	$1.662$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-3331}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(1\)	\(-2\)	$1$		\(q+q^{4}+\beta _{1}q^{5}+\beta _{3}q^{7}+q^{9}+(-\beta _{2}+\cdots)q^{13}+\cdots\)