Newform search results

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

Results (3 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	167
4008.2.a.b	$4008$	$2$	4008.a	1.a	$1$	$1$	$1$	$32.004$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-1\)	\(-1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{5}-q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
4008.2.a.c	$4008$	$2$	4008.a	1.a	$1$	$1$	$1$	$32.004$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+q^{9}+2q^{17}-8q^{19}-4q^{23}+\cdots\)
4008.2.a.f	$4008$	$2$	4008.a	1.a	$1$	$5$	$5$	$32.004$	5.5.284897.1	None	✓	$1$	$1$	\(0\)	\(5\)	\(1\)	\(-4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-\beta _{3}+\beta _{4})q^{5}+(-1-\beta _{2}+\cdots)q^{7}+\cdots\)