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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3527.1.b.a	$3527$	$1$	3527.b	3527.b	$2$	$2$	$2$	$1.760$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3527}) \)	None	✓	$2$	$0$	\(4\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q+2q^{2}+(-1+\beta )q^{3}+3q^{4}+(-2+\cdots)q^{6}+\cdots\)
3527.1.b.b	$3527$	$1$	3527.b	3527.b	$2$	$6$	$6$	$1.760$	\(\Q(\zeta_{26})^+\)	$D_{13}$	\(\Q(\sqrt{-3527}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(1+\beta _{2})q^{4}+(\beta _{2}+\cdots)q^{6}+\cdots\)
3527.1.b.c	$3527$	$1$	3527.b	3527.b	$2$	$24$	$24$	$1.760$	\(\Q(\zeta_{65})^+\)	$D_{65}$	\(\Q(\sqrt{-3527}) \)	None	✓	$2$	$0$	\(-4\)	\(1\)	\(0\)	\(1\)	$1$		\(q+\beta _{10}q^{2}+\beta _{17}q^{3}+(1+\beta _{20})q^{4}+\cdots\)