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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1711.1.d.a	$1711$	$1$	1711.d	1711.d	$2$	$1$	$1$	$0.854$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-59}) \), \(\Q(\sqrt{-1711}) \)	\(\Q(\sqrt{29}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(-2\)	$1$		\(q-q^{4}-2q^{5}-2q^{7}+q^{9}+q^{16}+2q^{20}+\cdots\)
1711.1.d.c	$1711$	$1$	1711.d	1711.d	$2$	$3$	$3$	$0.854$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-1711}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots\)
1711.1.d.d	$1711$	$1$	1711.d	1711.d	$2$	$3$	$3$	$0.854$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-1711}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(-1\)	\(-1\)	$1$		\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{1}-\beta _{2})q^{5}+\cdots\)
1711.1.d.e	$1711$	$1$	1711.d	1711.d	$2$	$6$	$6$	$0.854$	\(\Q(\zeta_{28})^+\)	$D_{14}$	\(\Q(\sqrt{-1711}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(2\)	\(2\)	$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1-\beta _{2}-\beta _{4}+\cdots)q^{5}+\cdots\)