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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3435.1.e.a	$3435$	$1$	3435.e	3435.e	$2$	$1$	$1$	$1.714$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-3435}) \)	\(\Q(\sqrt{229}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q-q^{3}+q^{4}-q^{5}+q^{9}-q^{12}+q^{15}+\cdots\)
3435.1.e.b	$3435$	$1$	3435.e	3435.e	$2$	$1$	$1$	$1.714$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-3435}) \)	\(\Q(\sqrt{229}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(1\)	\(0\)	$1$		\(q+q^{3}+q^{4}+q^{5}+q^{9}+q^{12}+q^{15}+\cdots\)
3435.1.e.c	$3435$	$1$	3435.e	3435.e	$2$	$2$	$2$	$1.714$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3435}) \)	None	✓	$4$	$0$	\(0\)	\(-2\)	\(2\)	\(0\)	$1$		\(q-q^{3}+q^{4}+q^{5}-\beta q^{7}+q^{9}-q^{12}+\cdots\)
3435.1.e.f	$3435$	$1$	3435.e	3435.e	$2$	$2$	$2$	$1.714$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3435}) \)	None	✓	$4$	$0$	\(0\)	\(2\)	\(-2\)	\(0\)	$1$		\(q+q^{3}+q^{4}-q^{5}-\beta q^{7}+q^{9}+q^{12}+\cdots\)