Newform search results

Results (7 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
635.1.c.a	$635$	$1$	635.c	635.c	$2$	$2$	$2$	$0.317$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-635}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(2\)	\(-1\)	$1$		\(q+(-1+\beta )q^{3}+q^{4}+q^{5}-\beta q^{7}+(1+\cdots)q^{9}+\cdots\)
635.1.c.b	$635$	$1$	635.c	635.c	$2$	$2$	$2$	$0.317$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-635}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(-2\)	\(1\)	$1$		\(q+(1-\beta )q^{3}+q^{4}-q^{5}+\beta q^{7}+(1-\beta )q^{9}+\cdots\)
2540.1.h.a	$2540$	$1$	2540.h	635.c	$2$	$1$	$1$	$1.268$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-635}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(1\)	\(-1\)	$1$		\(q-q^{3}+q^{5}-q^{7}-q^{11}-q^{15}+2q^{19}+\cdots\)
2540.1.h.b	$2540$	$1$	2540.h	635.c	$2$	$1$	$1$	$1.268$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-635}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(-1\)	\(1\)	$1$		\(q+q^{3}-q^{5}+q^{7}-q^{11}-q^{15}+2q^{19}+\cdots\)
2540.1.h.c	$2540$	$1$	2540.h	635.c	$2$	$4$	$4$	$1.268$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-635}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-4\)	\(-1\)	$1$		\(q-\beta _{1}q^{3}-q^{5}+(\beta _{2}+\beta _{3})q^{7}+(1+\beta _{2}+\cdots)q^{9}+\cdots\)
2540.1.h.d	$2540$	$1$	2540.h	635.c	$2$	$4$	$4$	$1.268$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-635}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(4\)	\(1\)	$1$		\(q+\beta _{1}q^{3}+q^{5}+(-\beta _{2}-\beta _{3})q^{7}+(1+\cdots)q^{9}+\cdots\)
3175.1.d.g	$3175$	$1$	3175.d	127.b	$2$	$4$	$4$	$1.585$	\(\Q(i, \sqrt{5})\)	$D_{5}$	\(\Q(\sqrt{-635}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{3}-q^{4}+(-\beta _{1}-\beta _{3})q^{7}+\beta _{2}q^{9}+\cdots\)