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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3
9.22.a.a	$9$	$22$	9.a	1.a	$1$	$1$	$1$	$25.153$	\(\Q\)	None	✓	$1$	$0$	\(-1728\)	\(0\)	\(41512770\)	\(538429808\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-12^{3}q^{2}+888832q^{4}+41512770q^{5}+\cdots\)
9.22.a.c	$9$	$22$	9.a	1.a	$1$	$1$	$1$	$25.153$	\(\Q\)	None	✓	$1$	$0$	\(288\)	\(0\)	\(-21640950\)	\(-768078808\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+288q^{2}-2014208q^{4}-21640950q^{5}+\cdots\)
9.22.a.d	$9$	$22$	9.a	1.a	$1$	$1$	$1$	$25.153$	\(\Q\)	None	✓	$1$	$0$	\(2844\)	\(0\)	\(-3109950\)	\(363303920\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2844q^{2}+5991184q^{4}-3109950q^{5}+\cdots\)
9.22.a.e	$9$	$22$	9.a	1.a	$1$	$2$	$2$	$25.153$	\(\Q(\sqrt{649}) \)	None	✓	$1$	$0$	\(-666\)	\(0\)	\(-996876\)	\(679896112\)		$-$	$-$	$2\cdot 3^{2}\cdot 7$	$\mathrm{SU}(2)$	\(q+(-333-\beta )q^{2}+(589618+666\beta )q^{4}+\cdots\)