Newform search results

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

Results (7 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.e	$400$	$4$	400.a	1.a	$1$	$1$	$1$	$23.601$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-6\)	\(0\)	\(-34\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-6q^{3}-34q^{7}+9q^{9}-2^{4}q^{11}-58q^{13}+\cdots\)
400.4.a.f	$400$	$4$	400.a	1.a	$1$	$1$	$1$	$23.601$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-5\)	\(0\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-5q^{3}-2q^{7}-2q^{9}-39q^{11}+84q^{13}+\cdots\)
400.4.a.g	$400$	$4$	400.a	1.a	$1$	$1$	$1$	$23.601$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-4\)	\(0\)	\(24\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{3}+24q^{7}-11q^{9}+44q^{11}+\cdots\)
400.4.a.k	$400$	$4$	400.a	1.a	$1$	$1$	$1$	$23.601$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(-6\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-6q^{7}-26q^{9}+19q^{11}-12q^{13}+\cdots\)
400.4.a.p	$400$	$4$	400.a	1.a	$1$	$1$	$1$	$23.601$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(4\)	\(0\)	\(16\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{3}+2^{4}q^{7}-11q^{9}-6^{2}q^{11}+\cdots\)
400.4.a.t	$400$	$4$	400.a	1.a	$1$	$1$	$1$	$23.601$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(9\)	\(0\)	\(26\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+9q^{3}+26q^{7}+54q^{9}+59q^{11}+\cdots\)
400.4.a.u	$400$	$4$	400.a	1.a	$1$	$1$	$1$	$23.601$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(10\)	\(0\)	\(-18\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+10q^{3}-18q^{7}+73q^{9}+2^{4}q^{11}+\cdots\)