Newform search results

Results (4 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	89
4005.2.a.e	$4005$	$2$	4005.a	1.a	$1$	$2$	$2$	$31.980$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-2\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-q^{5}-\beta q^{7}+\cdots\)
4005.2.a.f	$4005$	$2$	4005.a	1.a	$1$	$2$	$2$	$31.980$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{4}-q^{5}+(-1+\beta )q^{7}-\beta q^{8}+\cdots\)
4005.2.a.g	$4005$	$2$	4005.a	1.a	$1$	$2$	$2$	$31.980$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-2\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(2+\beta )q^{4}-q^{5}+(4+\beta )q^{8}+\cdots\)
4005.2.a.h	$4005$	$2$	4005.a	1.a	$1$	$2$	$2$	$31.980$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(2\)	\(2\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+q^{5}+(1+\beta )q^{7}-3q^{8}+\cdots\)