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	503
1006.2.a.b	$1006$	$2$	1006.a	1.a	$1$	$1$	$1$	$8.033$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(-2\)	\(1\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}+q^{7}+\cdots\)
1006.2.a.f	$1006$	$2$	1006.a	1.a	$1$	$2$	$2$	$8.033$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-2\)	\(-4\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}+(-1-\beta )q^{5}+\beta q^{6}+\cdots\)
1006.2.a.g	$1006$	$2$	1006.a	1.a	$1$	$5$	$5$	$8.033$	5.5.36497.1	None	✓	$1$	$1$	\(-5\)	\(0\)	\(-1\)	\(3\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(\beta _{1}-\beta _{3}+\beta _{4})q^{3}+q^{4}+(\beta _{2}+\cdots)q^{5}+\cdots\)