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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7
441.8.a.d	$441$	$8$	441.a	1.a	$1$	$1$	$1$	$137.762$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-2^{7}q^{4}+2009q^{13}+2^{14}q^{16}+14357q^{19}+\cdots\)
441.8.a.bc	$441$	$8$	441.a	1.a	$1$	$8$	$8$	$137.762$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2^{5}\cdot 3^{4}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(103+\beta _{3})q^{4}+(6\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
441.8.a.bd	$441$	$8$	441.a	1.a	$1$	$16$	$16$	$137.762$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2^{21}\cdot 3^{8}\cdot 7^{12}$	$\mathrm{SU}(2)$	\(q+\beta _{8}q^{2}+(57+\beta _{2})q^{4}+\beta _{1}q^{5}+(57\beta _{8}+\cdots)q^{8}+\cdots\)