Newform search results

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

Results (3 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7	17
6069.2.a.o	$6069$	$2$	6069.a	1.a	$1$	$3$	$3$	$48.461$	3.3.257.1	None	✓	$1$	$0$	\(0\)	\(-3\)	\(2\)	\(-3\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}-q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
6069.2.a.z	$6069$	$2$	6069.a	1.a	$1$	$9$	$9$	$48.461$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-9\)	\(3\)	\(-9\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1-\beta _{3}+\beta _{5}+\beta _{6}+\cdots)q^{4}+\cdots\)
6069.2.a.bl	$6069$	$2$	6069.a	1.a	$1$	$24$	$24$	$48.461$		None	✓	$1$	$0$	\(4\)	\(-24\)	\(-4\)	\(-24\)		$+$	$+$	$-$	$-$		$\mathrm{SU}(2)$