Newform search results

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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3131.1.c.a	$3131$	$1$	3131.c	3131.c	$2$	$1$	$1$	$1.563$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-31}) \), \(\Q(\sqrt{-3131}) \)	\(\Q(\sqrt{101}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+q^{4}-2q^{5}-q^{9}+q^{16}+2q^{19}+\cdots\)
3131.1.c.b	$3131$	$1$	3131.c	3131.c	$2$	$2$	$2$	$1.563$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3131}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+(-1+\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
3131.1.c.d	$3131$	$1$	3131.c	3131.c	$2$	$2$	$2$	$1.563$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3131}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(-1\)	\(0\)	$1$		\(q+(1-\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+(1+\cdots)q^{9}+\cdots\)
3131.1.c.e	$3131$	$1$	3131.c	3131.c	$2$	$4$	$4$	$1.563$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-3131}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-\beta _{1}q^{3}+q^{4}-\beta _{2}q^{5}+(2+\beta _{2})q^{9}+\cdots\)