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	7
1176.4.a.d	$1176$	$4$	1176.a	1.a	$1$	$1$	$1$	$69.386$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(2\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+2q^{5}+9q^{9}-18q^{11}+33q^{13}+\cdots\)
1176.4.a.f	$1176$	$4$	1176.a	1.a	$1$	$1$	$1$	$69.386$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(7\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+7q^{5}+9q^{9}+7q^{11}-52q^{13}+\cdots\)
1176.4.a.z	$1176$	$4$	1176.a	1.a	$1$	$4$	$4$	$69.386$	4.4.391168.1	None	✓	$1$	$1$	\(0\)	\(-12\)	\(-8\)	\(0\)		$-$	$+$	$+$	$-$	$2^{3}\cdot 7$	$\mathrm{SU}(2)$	\(q-3q^{3}+(-2-\beta _{1})q^{5}+9q^{9}+(10+\cdots)q^{11}+\cdots\)