Newform search results

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

Results (5 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
64.8.a.a	$64$	$8$	64.a	1.a	$1$	$1$	$1$	$19.993$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-84\)	\(82\)	\(456\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-84q^{3}+82q^{5}+456q^{7}+4869q^{9}+\cdots\)
64.8.a.d	$64$	$8$	64.a	1.a	$1$	$1$	$1$	$19.993$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(58\)	\(0\)		$-$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+58q^{5}-3^{7}q^{9}+8898q^{13}-40094q^{17}+\cdots\)
64.8.a.e	$64$	$8$	64.a	1.a	$1$	$1$	$1$	$19.993$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(12\)	\(210\)	\(-1016\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+12q^{3}+210q^{5}-1016q^{7}-2043q^{9}+\cdots\)
64.8.a.f	$64$	$8$	64.a	1.a	$1$	$1$	$1$	$19.993$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(44\)	\(-430\)	\(1224\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+44q^{3}-430q^{5}+1224q^{7}-251q^{9}+\cdots\)
64.8.a.i	$64$	$8$	64.a	1.a	$1$	$2$	$2$	$19.993$	\(\Q(\sqrt{15}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(-140\)	\(0\)		$-$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-70q^{5}-18\beta q^{7}+1653q^{9}+\cdots\)