Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (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	3
48.22.a.k	$48$	$22$	48.a	1.a	$1$	$3$	$3$	$134.149$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(177147\)	\(-4833126\)	\(-271431024\)		$+$	$-$	$-$	$2^{21}\cdot 3^{4}\cdot 5\cdot 7$	$\mathrm{SU}(2)$	\(q+3^{10}q^{3}+(-1611042-\beta _{1})q^{5}+\cdots\)
48.22.a.l	$48$	$22$	48.a	1.a	$1$	$3$	$3$	$134.149$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(177147\)	\(2080026\)	\(1205282064\)		$+$	$-$	$-$	$2^{21}\cdot 3^{4}\cdot 5\cdot 7$	$\mathrm{SU}(2)$	\(q+3^{10}q^{3}+(693342+\beta _{1})q^{5}+(401760688+\cdots)q^{7}+\cdots\)