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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2
512.2.a.a	$512$	$2$	512.a	1.a	$1$	$2$	$2$	$4.088$	\(\Q(\sqrt{2}) \)	\(\Q(\sqrt{-2}) \)	✓	$2$	$1$	\(0\)	\(-4\)	\(0\)	\(0\)		$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+(-2+\beta )q^{3}+(3-4\beta )q^{9}+(-2-3\beta )q^{11}+\cdots\)
512.2.a.b	$512$	$2$	512.a	1.a	$1$	$2$	$2$	$4.088$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(-4\)	\(0\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-2q^{5}-2\beta q^{7}-q^{9}-3\beta q^{11}+\cdots\)
512.2.a.c	$512$	$2$	512.a	1.a	$1$	$2$	$2$	$4.088$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-8\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-2\beta q^{5}-4q^{7}-q^{9}+\beta q^{11}+\cdots\)