Newform search results

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

Results (5 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
4704.2.a.a	$4704$	$2$	4704.a	1.a	$1$	$1$	$1$	$37.562$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-4\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-4q^{5}+q^{9}+6q^{11}+5q^{13}+\cdots\)
4704.2.a.l	$4704$	$2$	4704.a	1.a	$1$	$1$	$1$	$37.562$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+q^{9}+q^{11}-q^{15}-8q^{17}+\cdots\)
4704.2.a.bl	$4704$	$2$	4704.a	1.a	$1$	$2$	$2$	$37.562$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta q^{5}+q^{9}+2\beta q^{11}-3\beta q^{13}+\cdots\)
4704.2.a.bs	$4704$	$2$	4704.a	1.a	$1$	$3$	$3$	$37.562$	3.3.621.1	None	✓	$1$	$0$	\(0\)	\(-3\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta _{2}q^{5}+q^{9}+(\beta _{1}+\beta _{2})q^{11}+\cdots\)
4704.2.a.bx	$4704$	$2$	4704.a	1.a	$1$	$4$	$4$	$37.562$	4.4.2624.1	None	✓	$1$	$0$	\(0\)	\(-4\)	\(4\)	\(0\)		$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{3}+(1+\beta _{3})q^{5}+q^{9}+(-1-\beta _{2}+\cdots)q^{11}+\cdots\)