Newform search results

Results (8 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
836.1.h.a	$836$	$1$	836.h	836.h	$2$	$2$	$2$	$0.417$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-209}) \)	None	✓	$2$	$0$	\(-2\)	\(-1\)	\(-1\)	\(1\)	$1$		\(q-q^{2}+(-1+\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
836.1.h.b	$836$	$1$	836.h	836.h	$2$	$2$	$2$	$0.417$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-209}) \)	None	✓	$2$	$0$	\(-2\)	\(1\)	\(-1\)	\(-1\)	$1$		\(q-q^{2}+(1-\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
836.1.h.c	$836$	$1$	836.h	836.h	$2$	$2$	$2$	$0.417$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-209}) \)	None	✓	$2$	$0$	\(2\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q+q^{2}+(-1+\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
836.1.h.d	$836$	$1$	836.h	836.h	$2$	$2$	$2$	$0.417$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-209}) \)	None	✓	$2$	$0$	\(2\)	\(1\)	\(-1\)	\(1\)	$1$		\(q+q^{2}+(1-\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
3344.1.p.a	$3344$	$1$	3344.p	836.h	$2$	$1$	$1$	$1.669$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-209}) \)	\(\Q(\sqrt{11}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(-2\)	$1$		\(q-2q^{5}-2q^{7}-q^{9}-q^{11}+q^{19}+\cdots\)
3344.1.p.b	$3344$	$1$	3344.p	836.h	$2$	$1$	$1$	$1.669$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-209}) \)	\(\Q(\sqrt{11}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(2\)	$1$		\(q-2q^{5}+2q^{7}-q^{9}+q^{11}-q^{19}+\cdots\)
3344.1.p.e	$3344$	$1$	3344.p	836.h	$2$	$4$	$4$	$1.669$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-209}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(2\)	\(-2\)	$1$		\(q+\beta _{3}q^{3}+(1+\beta _{2})q^{5}+\beta _{2}q^{7}+(1-\beta _{2}+\cdots)q^{9}+\cdots\)
3344.1.p.f	$3344$	$1$	3344.p	836.h	$2$	$4$	$4$	$1.669$	\(\Q(\zeta_{20})^+\)	$D_{10}$	\(\Q(\sqrt{-209}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(2\)	\(2\)	$1$		\(q-\beta _{1}q^{3}-\beta _{2}q^{5}+(1+\beta _{2})q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)