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	5
400.6.a.u	$400$	$6$	400.a	1.a	$1$	$2$	$2$	$64.154$	\(\Q(\sqrt{241}) \)	None	✓	$1$	$0$	\(0\)	\(8\)	\(0\)	\(-8\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(4+\beta )q^{3}+(-4-2\beta )q^{7}+(14+8\beta )q^{9}+\cdots\)
400.6.a.x	$400$	$6$	400.a	1.a	$1$	$3$	$3$	$64.154$	3.3.47217.1	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(70\)		$+$	$-$	$-$	$2^{4}\cdot 5$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(24-\beta _{1}-\beta _{2})q^{7}+(50+5\beta _{1}+\cdots)q^{9}+\cdots\)
400.6.a.z	$400$	$6$	400.a	1.a	$1$	$4$	$4$	$64.154$	4.4.1595208.1	None	✓	$1$	$0$	\(0\)	\(-4\)	\(0\)	\(-148\)		$+$	$-$	$-$	$2^{8}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{3}+(-37-\beta _{1}+\beta _{3})q^{7}+\cdots\)
400.6.a.ba	$400$	$6$	400.a	1.a	$1$	$4$	$4$	$64.154$	4.4.1595208.1	None	✓	$1$	$0$	\(0\)	\(4\)	\(0\)	\(148\)		$+$	$-$	$-$	$2^{8}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{3}+(37+\beta _{1}-\beta _{3})q^{7}+(5^{3}+\cdots)q^{9}+\cdots\)