Newform search results

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

Results (6 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	3	5
1440.4.a.n	$1440$	$4$	1440.a	1.a	$1$	$1$	$1$	$84.963$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(5\)	\(-6\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+5q^{5}-6q^{7}+60q^{11}+50q^{13}+\cdots\)
1440.4.a.p	$1440$	$4$	1440.a	1.a	$1$	$1$	$1$	$84.963$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(5\)	\(8\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+5q^{5}+8q^{7}+4q^{11}-6q^{13}+2q^{17}+\cdots\)
1440.4.a.z	$1440$	$4$	1440.a	1.a	$1$	$2$	$2$	$84.963$	\(\Q(\sqrt{41}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(10\)	\(-12\)		$+$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+5q^{5}+(-6-\beta )q^{7}+(-12-4\beta )q^{11}+\cdots\)
1440.4.a.bb	$1440$	$4$	1440.a	1.a	$1$	$2$	$2$	$84.963$	\(\Q(\sqrt{5}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(10\)	\(0\)		$+$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+5q^{5}-7\beta q^{7}+2\beta q^{11}-62q^{13}+\cdots\)
1440.4.a.bf	$1440$	$4$	1440.a	1.a	$1$	$2$	$2$	$84.963$	\(\Q(\sqrt{201}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(10\)	\(4\)		$+$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+5q^{5}+(2+\beta )q^{7}-20q^{11}+(-12+\cdots)q^{13}+\cdots\)
1440.4.a.bg	$1440$	$4$	1440.a	1.a	$1$	$2$	$2$	$84.963$	\(\Q(\sqrt{41}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(10\)	\(12\)		$+$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+5q^{5}+(6+\beta )q^{7}+(12+4\beta )q^{11}+\cdots\)