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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	11
22.6.a.a	$22$	$6$	22.a	1.a	$1$	$1$	$1$	$3.528$	\(\Q\)	None	✓	$1$	$0$	\(-4\)	\(-21\)	\(81\)	\(98\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-21q^{3}+2^{4}q^{4}+3^{4}q^{5}+84q^{6}+\cdots\)
22.6.a.d	$22$	$6$	22.a	1.a	$1$	$2$	$2$	$3.528$	\(\Q(\sqrt{793}) \)	None	✓	$1$	$0$	\(8\)	\(29\)	\(-13\)	\(-14\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+(15-\beta )q^{3}+2^{4}q^{4}+(-9+\cdots)q^{5}+\cdots\)