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	3	5
1440.4.a.b	$1440$	$4$	1440.a	1.a	$1$	$1$	$1$	$84.963$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(0\)	\(-5\)	\(-30\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}-30q^{7}-50q^{11}-88q^{13}+\cdots\)
1440.4.a.i	$1440$	$4$	1440.a	1.a	$1$	$1$	$1$	$84.963$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-5\)	\(30\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}+30q^{7}+50q^{11}-88q^{13}+\cdots\)
1440.4.a.w	$1440$	$4$	1440.a	1.a	$1$	$2$	$2$	$84.963$	\(\Q(\sqrt{85}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-10\)	\(0\)		$+$	$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-5q^{5}-\beta q^{7}+3\beta q^{11}+52q^{13}+\cdots\)
1440.4.a.bi	$1440$	$4$	1440.a	1.a	$1$	$3$	$3$	$84.963$	3.3.16773.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-15\)	\(14\)		$+$	$+$	$+$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q-5q^{5}+(5-\beta _{1})q^{7}+(-7-2\beta _{1}-\beta _{2})q^{11}+\cdots\)