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	5
400.4.a.a	$400$	$4$	400.a	1.a	$1$	$1$	$1$	$23.601$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-9\)	\(0\)	\(-26\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-9q^{3}-26q^{7}+54q^{9}+59q^{11}+\cdots\)
400.4.a.j	$400$	$4$	400.a	1.a	$1$	$1$	$1$	$23.601$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(6\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+6q^{7}-26q^{9}+19q^{11}+12q^{13}+\cdots\)
400.4.a.q	$400$	$4$	400.a	1.a	$1$	$1$	$1$	$23.601$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(5\)	\(0\)	\(2\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5q^{3}+2q^{7}-2q^{9}-39q^{11}-84q^{13}+\cdots\)
400.4.a.v	$400$	$4$	400.a	1.a	$1$	$2$	$2$	$23.601$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$1$	\(0\)	\(-4\)	\(0\)	\(-4\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{3}+(-2-3\beta )q^{7}+(1-4\beta )q^{9}+\cdots\)
400.4.a.x	$400$	$4$	400.a	1.a	$1$	$2$	$2$	$23.601$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$1$	\(0\)	\(4\)	\(0\)	\(4\)		$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{3}+(2-3\beta )q^{7}+(1+4\beta )q^{9}+\cdots\)