Newform search results

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

Results (6 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.a	$722$	$6$	722.a	1.a	$1$	$1$	$1$	$115.797$	\(\Q\)	None	✓	$1$	$0$	\(-4\)	\(14\)	\(-45\)	\(-121\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+14q^{3}+2^{4}q^{4}-45q^{5}-56q^{6}+\cdots\)
722.6.a.d	$722$	$6$	722.a	1.a	$1$	$3$	$3$	$115.797$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-12\)	\(-13\)	\(81\)	\(228\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+(-4-\beta _{1})q^{3}+2^{4}q^{4}+(3^{3}+\cdots)q^{5}+\cdots\)
722.6.a.g	$722$	$6$	722.a	1.a	$1$	$4$	$4$	$115.797$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(-16\)	\(-14\)	\(36\)	\(38\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-4q^{2}+(-3-\beta _{1})q^{3}+2^{4}q^{4}+(9+\cdots)q^{5}+\cdots\)
722.6.a.k	$722$	$6$	722.a	1.a	$1$	$6$	$6$	$115.797$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(-24\)	\(24\)	\(-83\)	\(104\)		$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-4q^{2}+(5-\beta _{1}-\beta _{2})q^{3}+2^{4}q^{4}+\cdots\)
722.6.a.m	$722$	$6$	722.a	1.a	$1$	$8$	$8$	$115.797$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-32\)	\(22\)	\(-108\)	\(94\)		$+$	$-$	$-$	$2^{4}\cdot 19$	$\mathrm{SU}(2)$	\(q-4q^{2}+(3-\beta _{1})q^{3}+2^{4}q^{4}+(-13+\cdots)q^{5}+\cdots\)
722.6.a.q	$722$	$6$	722.a	1.a	$1$	$15$	$15$	$115.797$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(-60\)	\(0\)	\(108\)	\(84\)		$+$	$-$	$-$	$2^{6}\cdot 3\cdot 19^{6}$	$\mathrm{SU}(2)$	\(q-4q^{2}+\beta _{1}q^{3}+2^{4}q^{4}+(7+\beta _{5})q^{5}+\cdots\)