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	7	19
798.4.a.a	$798$	$4$	798.a	1.a	$1$	$1$	$1$	$47.084$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(-3\)	\(-12\)	\(7\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}-12q^{5}+6q^{6}+\cdots\)
798.4.a.l	$798$	$4$	798.a	1.a	$1$	$4$	$4$	$47.084$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(-8\)	\(-12\)	\(12\)	\(28\)		$+$	$+$	$-$	$-$	$+$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+(3-\beta _{1})q^{5}+\cdots\)