Newform search results

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

Results (3 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	7
315.4.a.f	$315$	$4$	315.a	1.a	$1$	$2$	$2$	$18.586$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-8\)	\(0\)	\(10\)	\(-14\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-4+\beta )q^{2}+(10-8\beta )q^{4}+5q^{5}+\cdots\)
315.4.a.l	$315$	$4$	315.a	1.a	$1$	$2$	$2$	$18.586$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(4\)	\(0\)	\(10\)	\(-14\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{2}+(1+4\beta )q^{4}+5q^{5}-7q^{7}+\cdots\)
315.4.a.m	$315$	$4$	315.a	1.a	$1$	$2$	$2$	$18.586$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(7\)	\(0\)	\(10\)	\(-14\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(4-\beta )q^{2}+(12-7\beta )q^{4}+5q^{5}-7q^{7}+\cdots\)