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	3
648.4.a.b	$648$	$4$	648.a	1.a	$1$	$1$	$1$	$38.233$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(5\)	\(36\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{5}+6^{2}q^{7}-2^{6}q^{11}-65q^{13}+\cdots\)
648.4.a.c	$648$	$4$	648.a	1.a	$1$	$2$	$2$	$38.233$	\(\Q(\sqrt{201}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-8\)	\(-30\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-4-\beta )q^{5}+(-15+\beta )q^{7}+(23+\cdots)q^{11}+\cdots\)
648.4.a.e	$648$	$4$	648.a	1.a	$1$	$2$	$2$	$38.233$	\(\Q(\sqrt{129}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(4\)	\(-6\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{5}+(-3-\beta )q^{7}+(5+3\beta )q^{11}+\cdots\)
648.4.a.i	$648$	$4$	648.a	1.a	$1$	$4$	$4$	$38.233$	4.4.72153.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(5\)	\(-3\)		$-$	$+$	$-$	$2^{3}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{5}+(-1-\beta _{3})q^{7}+(-4+\cdots)q^{11}+\cdots\)