Newform search results

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

Results (displaying both 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	11
33.4.a.c	$33$	$4$	33.a	1.a	$1$	$2$	$2$	$1.947$	\(\Q(\sqrt{97}) \)	None	✓	$1$	$0$	\(1\)	\(-6\)	\(-14\)	\(24\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}-3q^{3}+(2^{4}+\beta )q^{4}+(-6-2\beta )q^{5}+\cdots\)
33.4.a.d	$33$	$4$	33.a	1.a	$1$	$2$	$2$	$1.947$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$0$	\(1\)	\(6\)	\(16\)	\(2\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+3q^{3}+\beta q^{4}+(10-4\beta )q^{5}+\cdots\)