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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3103.1.d.a	$3103$	$1$	3103.d	3103.d	$2$	$1$	$1$	$1.549$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-107}) \), \(\Q(\sqrt{-3103}) \)	\(\Q(\sqrt{29}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{4}+q^{9}-2q^{13}+q^{16}+2q^{23}+\cdots\)
3103.1.d.b	$3103$	$1$	3103.d	3103.d	$2$	$2$	$2$	$1.549$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3103}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-1+\beta )q^{2}+(1-\beta )q^{4}-q^{8}+q^{9}+\cdots\)
3103.1.d.d	$3103$	$1$	3103.d	3103.d	$2$	$2$	$2$	$1.549$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-3103}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(1-\beta )q^{2}+(1-\beta )q^{4}+q^{8}+q^{9}+\cdots\)
3103.1.d.f	$3103$	$1$	3103.d	3103.d	$2$	$4$	$4$	$1.549$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-3103}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-\beta _{1}-\beta _{3})q^{8}+\cdots\)