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	3	7
1008.4.a.a	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-22\)	\(7\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-22q^{5}+7q^{7}+26q^{11}-54q^{13}+\cdots\)
1008.4.a.w	$1008$	$4$	1008.a	1.a	$1$	$1$	$1$	$59.474$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(22\)	\(7\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+22q^{5}+7q^{7}-26q^{11}-54q^{13}+\cdots\)
1008.4.a.bd	$1008$	$4$	1008.a	1.a	$1$	$2$	$2$	$59.474$	\(\Q(\sqrt{7}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(14\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+7q^{7}+13\beta q^{11}-30q^{13}+\cdots\)
1008.4.a.be	$1008$	$4$	1008.a	1.a	$1$	$2$	$2$	$59.474$	\(\Q(\sqrt{19}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(14\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+7q^{7}+5\beta q^{11}+82q^{13}+\cdots\)