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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3127.1.d.a	$3127$	$1$	3127.d	3127.d	$2$	$1$	$1$	$1.561$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3127}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-q^{2}-q^{7}+q^{8}+q^{9}+q^{14}-q^{16}+\cdots\)
3127.1.d.b	$3127$	$1$	3127.d	3127.d	$2$	$1$	$1$	$1.561$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-59}) \), \(\Q(\sqrt{-3127}) \)	\(\Q(\sqrt{53}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)	$1$		\(q-q^{4}-2q^{7}+q^{9}+q^{16}-2q^{17}+\cdots\)
3127.1.d.c	$3127$	$1$	3127.d	3127.d	$2$	$1$	$1$	$1.561$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3127}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+q^{2}-q^{7}-q^{8}+q^{9}-q^{14}-q^{16}+\cdots\)
3127.1.d.e	$3127$	$1$	3127.d	3127.d	$2$	$2$	$2$	$1.561$	\(\Q(\sqrt{2}) \)	$D_{4}$	\(\Q(\sqrt{-3127}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta q^{2}+q^{4}+q^{9}-q^{16}-\beta q^{18}+\cdots\)
3127.1.d.f	$3127$	$1$	3127.d	3127.d	$2$	$2$	$2$	$1.561$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-3127}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q-\beta q^{2}+2q^{4}+q^{7}-\beta q^{8}+q^{9}-\beta q^{14}+\cdots\)
3127.1.d.g	$3127$	$1$	3127.d	3127.d	$2$	$4$	$4$	$1.561$	\(\Q(\zeta_{24})^+\)	$D_{12}$	\(\Q(\sqrt{-3127}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{2}q^{7}+(-2\beta _{1}+\cdots)q^{8}+\cdots\)