Newform search results

Results (9 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1967.1.ca.a	$1967$	$1$	1967.ca	1967.ba	$140$	$48$	$1$	$0.982$	\(\Q(\zeta_{140})\)	$D_{140}$	\(\Q(\sqrt{-7}) \)	None		✓	✓	✓	1967.1.ca.a	$4$	$0$	\(6\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{140}^{26}+\zeta_{140}^{50})q^{2}+(-\zeta_{140}^{6}-\zeta_{140}^{30}+\cdots)q^{4}+\cdots\)
2233.1.df.a	$2233$	$1$	2233.df	2233.cf	$140$	$48$	$1$	$1.114$	\(\Q(\zeta_{140})\)	$D_{140}$	\(\Q(\sqrt{-7}) \)	None		✓			2233.1.df.a	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{140}^{24}+\zeta_{140}^{27})q^{2}+(\zeta_{140}^{48}+\cdots)q^{4}+\cdots\)
2233.1.df.b	$2233$	$1$	2233.df	2233.cf	$140$	$48$	$1$	$1.114$	\(\Q(\zeta_{140})\)	$D_{140}$	\(\Q(\sqrt{-7}) \)	None		✓			2233.1.df.a	$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{140}^{52}+\zeta_{140}^{69})q^{2}+(-\zeta_{140}^{34}+\cdots)q^{4}+\cdots\)
2248.1.cg.a	$2248$	$1$	2248.cg	2248.bg	$140$	$48$	$1$	$1.122$	\(\Q(\zeta_{140})\)	$D_{140}$	\(\Q(\sqrt{-2}) \)	None		✓	✓	✓	2248.1.cg.a	$4$	$0$	\(2\)	\(8\)	\(0\)	\(0\)	$1$		\(q+\zeta_{140}^{4}q^{2}+(-\zeta_{140}^{27}+\zeta_{140}^{30})q^{3}+\cdots\)
2900.1.cr.a	$2900$	$1$	2900.cr	2900.br	$140$	$48$	$1$	$1.447$	\(\Q(\zeta_{140})\)	$D_{140}$	\(\Q(\sqrt{-1}) \)	None		✓	✓	✓	2900.1.cr.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{140}^{53}q^{2}-\zeta_{140}^{36}q^{4}-\zeta_{140}^{69}q^{5}+\cdots\)
2900.1.da.a	$2900$	$1$	2900.da	2900.ca	$140$	$48$	$1$	$1.447$	\(\Q(\zeta_{140})\)	$D_{140}$	\(\Q(\sqrt{-1}) \)	None		✓	✓	✓	2900.1.cr.a	$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{140}^{8}q^{2}+\zeta_{140}^{16}q^{4}-\zeta_{140}^{39}q^{5}+\cdots\)
3789.1.du.a	$3789$	$1$	3789.du	421.v	$140$	$48$	$1$	$1.891$	\(\Q(\zeta_{140})\)	$D_{140}$	\(\Q(\sqrt{-3}) \)	None		✓	✓	✓	3789.1.du.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{140}^{33}q^{4}+(-\zeta_{140}^{11}-\zeta_{140}^{27}+\cdots)q^{7}+\cdots\)
3905.1.fs.a	$3905$	$1$	3905.fs	3905.es	$140$	$48$	$1$	$1.949$	\(\Q(\zeta_{140})\)	$D_{140}$	\(\Q(\sqrt{-11}) \)	None		✓			3905.1.fs.a	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{140}^{49}-\zeta_{140}^{68})q^{3}+\zeta_{140}^{27}q^{4}+\cdots\)
3905.1.fs.b	$3905$	$1$	3905.fs	3905.es	$140$	$48$	$1$	$1.949$	\(\Q(\zeta_{140})\)	$D_{140}$	\(\Q(\sqrt{-11}) \)	None		✓			3905.1.fs.a	$4$	$0$	\(0\)	\(12\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{140}^{14}-\zeta_{140}^{33})q^{3}+\zeta_{140}^{27}q^{4}+\cdots\)