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
512.2.a.d	$512$	$2$	512.a	1.a	$1$	$2$	$2$	$4.088$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(8\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+2\beta q^{5}+4q^{7}-q^{9}+\beta q^{11}+\cdots\)
512.2.a.e	$512$	$2$	512.a	1.a	$1$	$2$	$2$	$4.088$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+2q^{5}+2\beta q^{7}-q^{9}-3\beta q^{11}+\cdots\)
512.2.a.f	$512$	$2$	512.a	1.a	$1$	$2$	$2$	$4.088$	\(\Q(\sqrt{2}) \)	\(\Q(\sqrt{-2}) \)	✓	$2$	$0$	\(0\)	\(4\)	\(0\)	\(0\)		$-$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+(2+\beta )q^{3}+(3+4\beta )q^{9}+(2-3\beta )q^{11}+\cdots\)
512.2.a.g	$512$	$2$	512.a	1.a	$1$	$4$	$4$	$4.088$	\(\Q(\zeta_{24})^+\)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{2}q^{5}-\beta _{3}q^{7}+3q^{9}+\beta _{1}q^{11}+\cdots\)