Newform search results

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

Results (4 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	19
722.6.a.i	$722$	$6$	722.a	1.a	$1$	$4$	$4$	$115.797$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(16\)	\(-1\)	\(-14\)	\(97\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+4q^{2}-\beta _{1}q^{3}+2^{4}q^{4}+(-4+\beta _{1}+\cdots)q^{5}+\cdots\)
722.6.a.j	$722$	$6$	722.a	1.a	$1$	$4$	$4$	$115.797$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(16\)	\(14\)	\(36\)	\(38\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+4q^{2}+(3+\beta _{1})q^{3}+2^{4}q^{4}+(9+\beta _{2}+\cdots)q^{5}+\cdots\)
722.6.a.r	$722$	$6$	722.a	1.a	$1$	$15$	$15$	$115.797$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(60\)	\(0\)	\(108\)	\(84\)		$-$	$+$	$-$	$2^{6}\cdot 3\cdot 19^{6}$	$\mathrm{SU}(2)$	\(q+4q^{2}-\beta _{1}q^{3}+2^{4}q^{4}+(7+\beta _{5})q^{5}+\cdots\)
722.6.a.t	$722$	$6$	722.a	1.a	$1$	$16$	$16$	$115.797$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$0$	\(64\)	\(46\)	\(84\)	\(198\)		$-$	$+$	$-$	$2^{8}\cdot 19^{7}$	$\mathrm{SU}(2)$	\(q+4q^{2}+(3-\beta _{1})q^{3}+2^{4}q^{4}+(5-\beta _{1}+\cdots)q^{5}+\cdots\)