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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	5	151
6040.2.a.h	$6040$	$2$	6040.a	1.a	$1$	$1$	$1$	$48.230$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(1\)	\(4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{5}+4q^{7}-2q^{9}-3q^{11}+\cdots\)
6040.2.a.k	$6040$	$2$	6040.a	1.a	$1$	$2$	$2$	$48.230$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(2\)	\(-1\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{3}+q^{5}+(-1+\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
6040.2.a.l	$6040$	$2$	6040.a	1.a	$1$	$9$	$9$	$48.230$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(9\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{7}q^{3}+q^{5}+(\beta _{1}+\beta _{4})q^{7}-\beta _{5}q^{9}+\cdots\)