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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1767.1.g.a	$1767$	$1$	1767.g	1767.g	$2$	$1$	$1$	$0.882$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1767}) \)	\(\Q(\sqrt{589}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(-2\)	$1$		\(q-q^{3}-q^{4}-2q^{7}+q^{9}+q^{12}-2q^{13}+\cdots\)
1767.1.g.b	$1767$	$1$	1767.g	1767.g	$2$	$1$	$1$	$0.882$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-1767}) \)	\(\Q(\sqrt{589}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(-2\)	$1$		\(q+q^{3}-q^{4}-2q^{7}+q^{9}-q^{12}+2q^{13}+\cdots\)
2945.1.n.b	$2945$	$1$	2945.n	2945.n	$4$	$2$	$1$	$1.470$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{589}) \)		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(2\)	$1$		\(q+(-1-i)q^{3}-iq^{4}-iq^{5}+(1-i+\cdots)q^{7}+\cdots\)
2945.1.n.c	$2945$	$1$	2945.n	2945.n	$4$	$2$	$1$	$1.470$	\(\Q(\sqrt{-1}) \)	$D_{4}$	None	\(\Q(\sqrt{589}) \)		$4$	$0$	\(0\)	\(2\)	\(0\)	\(2\)	$1$		\(q+(1+i)q^{3}-iq^{4}-iq^{5}+(1-i)q^{7}+\cdots\)