Newform search results

Results (5 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2980.1.e.a	$2980$	$1$	2980.e	2980.e	$2$	$1$	$1$	$1.487$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-745}) \)	\(\Q(\sqrt{745}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{2}+q^{4}+q^{5}-q^{8}+q^{9}-q^{10}+\cdots\)
2980.1.e.b	$2980$	$1$	2980.e	2980.e	$2$	$1$	$1$	$1.487$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-745}) \)	\(\Q(\sqrt{745}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{2}+q^{4}+q^{5}+q^{8}+q^{9}+q^{10}+\cdots\)
2980.1.e.d	$2980$	$1$	2980.e	2980.e	$2$	$2$	$2$	$1.487$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-149}) \)	\(\Q(\sqrt{745}) \)		$8$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-iq^{2}-iq^{3}-q^{4}-q^{5}-2q^{6}+iq^{8}+\cdots\)
3725.1.g.a	$3725$	$1$	3725.g	745.g	$4$	$2$	$1$	$1.859$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{745}) \)		$4$	$0$	\(-2\)	\(2\)	\(0\)	\(0\)	$1$		\(q+(-1+i)q^{2}+(1+i)q^{3}-iq^{4}-q^{6}+\cdots\)
3725.1.g.b	$3725$	$1$	3725.g	745.g	$4$	$2$	$1$	$1.859$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{745}) \)		$4$	$0$	\(2\)	\(-2\)	\(0\)	\(0\)	$1$		\(q+(1-i)q^{2}+(-1-i)q^{3}-iq^{4}-q^{6}+\cdots\)