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.c	$4730$	$2$	4730.a	1.a	$1$	$1$	$1$	$37.769$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(1\)	\(0\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}+q^{5}-q^{8}-3q^{9}-q^{10}+\cdots\)
4730.2.a.l	$4730$	$2$	4730.a	1.a	$1$	$2$	$2$	$37.769$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(-2\)	\(-1\)	\(2\)	\(-6\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}+q^{5}+\beta q^{6}-3q^{7}+\cdots\)
4730.2.a.m	$4730$	$2$	4730.a	1.a	$1$	$2$	$2$	$37.769$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(-2\)	\(-1\)	\(2\)	\(-2\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}+q^{5}+\beta q^{6}-2\beta q^{7}+\cdots\)
4730.2.a.t	$4730$	$2$	4730.a	1.a	$1$	$3$	$3$	$37.769$	3.3.1373.1	None	✓	$1$	$1$	\(-3\)	\(0\)	\(3\)	\(0\)		$+$	$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}+q^{5}-\beta _{1}q^{6}+\cdots\)