Newform search results

Results (6 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2279.1.d.a	$2279$	$1$	2279.d	2279.d	$2$	$1$	$1$	$1.137$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-43}) \), \(\Q(\sqrt{-2279}) \)	\(\Q(\sqrt{53}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{4}-q^{9}+2q^{11}-2q^{13}+q^{16}+\cdots\)
2279.1.d.b	$2279$	$1$	2279.d	2279.d	$2$	$2$	$2$	$1.137$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-2279}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta q^{2}-\beta q^{3}+q^{4}+\beta q^{5}+2q^{6}+\cdots\)
2279.1.d.c	$2279$	$1$	2279.d	2279.d	$2$	$3$	$3$	$1.137$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-2279}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
2279.1.d.d	$2279$	$1$	2279.d	2279.d	$2$	$3$	$3$	$1.137$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-2279}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(1\)	\(0\)	$1$		\(q+\beta _{1}q^{2}+(1-\beta _{1}+\beta _{2})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
2279.1.d.e	$2279$	$1$	2279.d	2279.d	$2$	$6$	$6$	$1.137$	\(\Q(\zeta_{28})^+\)	$D_{14}$	\(\Q(\sqrt{-2279}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}-\beta _{3}q^{3}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}+\cdots\)
2279.1.d.f	$2279$	$1$	2279.d	2279.d	$2$	$12$	$12$	$1.137$	\(\Q(\zeta_{56})^+\)	$D_{28}$	\(\Q(\sqrt{-2279}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\beta _{9}q^{2}+\beta _{1}q^{3}+(1-\beta _{10})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)