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
588.4.a.d	$588$	$4$	588.a	1.a	$1$	$1$	$1$	$34.693$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(-6\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-6q^{5}+9q^{9}+6^{2}q^{11}-62q^{13}+\cdots\)
588.4.a.e	$588$	$4$	588.a	1.a	$1$	$1$	$1$	$34.693$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(-4\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-4q^{5}+9q^{9}-20q^{11}+4q^{13}+\cdots\)
588.4.a.h	$588$	$4$	588.a	1.a	$1$	$2$	$2$	$34.693$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$1$	\(0\)	\(6\)	\(3\)	\(0\)		$-$	$-$	$-$	$-$	$3$	$\mathrm{SU}(2)$	\(q+3q^{3}+(2+\beta )q^{5}+9q^{9}+(-26-\beta )q^{11}+\cdots\)