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
672.4.a.c	$672$	$4$	672.a	1.a	$1$	$1$	$1$	$39.649$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(-18\)	\(-7\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-18q^{5}-7q^{7}+9q^{9}+44q^{11}+\cdots\)
672.4.a.d	$672$	$4$	672.a	1.a	$1$	$1$	$1$	$39.649$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(6\)	\(-7\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+6q^{5}-7q^{7}+9q^{9}+4q^{11}+\cdots\)
672.4.a.l	$672$	$4$	672.a	1.a	$1$	$2$	$2$	$39.649$	\(\Q(\sqrt{11}) \)	None	✓	$1$	$1$	\(0\)	\(6\)	\(8\)	\(-14\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+3q^{3}+(4+\beta )q^{5}-7q^{7}+9q^{9}+(-22+\cdots)q^{11}+\cdots\)