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	Twist minimal	Largest	Maximal	Minimal twist	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	7	71
994.2.a.c	$994$	$2$	994.a	1.a	$1$	$1$	$1$	$7.937$	\(\Q\)	None	✓	✓			994.2.a.c	$1$	$1$	\(-1\)	\(1\)	\(0\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots\)
994.2.a.j	$994$	$2$	994.a	1.a	$1$	$3$	$3$	$7.937$	3.3.316.1	None	✓	✓	✓		994.2.a.j	$1$	$1$	\(-3\)	\(-1\)	\(-2\)	\(3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+(-1+\beta _{1}+\beta _{2})q^{5}+\cdots\)