Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	5	11	43
4730.2.a.f	$4730$	$2$	4730.a	1.a	$1$	$1$	$1$	$37.769$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(0\)	\(-1\)	\(3\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-q^{5}+3q^{7}+q^{8}-3q^{9}+\cdots\)
4730.2.a.h	$4730$	$2$	4730.a	1.a	$1$	$1$	$1$	$37.769$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(1\)	\(-1\)	\(2\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+2q^{7}+\cdots\)
4730.2.a.p	$4730$	$2$	4730.a	1.a	$1$	$2$	$2$	$37.769$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(2\)	\(-2\)	\(-2\)	\(-2\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta )q^{3}+q^{4}-q^{5}+(-1+\cdots)q^{6}+\cdots\)
4730.2.a.r	$4730$	$2$	4730.a	1.a	$1$	$2$	$2$	$37.769$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$1$	\(2\)	\(1\)	\(-2\)	\(-5\)		$-$	$+$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}-q^{5}+\beta q^{6}+(-2+\cdots)q^{7}+\cdots\)