Newform search results

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

Results (6 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7	11
4851.2.a.g	$4851$	$2$	4851.a	1.a	$1$	$1$	$1$	$38.735$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(4\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+4q^{5}+3q^{8}-4q^{10}+\cdots\)
4851.2.a.l	$4851$	$2$	4851.a	1.a	$1$	$1$	$1$	$38.735$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}+4q^{5}-q^{11}-5q^{13}+4q^{16}+\cdots\)
4851.2.a.x	$4851$	$2$	4851.a	1.a	$1$	$2$	$2$	$38.735$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(1+\beta )q^{4}+q^{5}-3q^{8}-\beta q^{10}+\cdots\)
4851.2.a.bf	$4851$	$2$	4851.a	1.a	$1$	$2$	$2$	$38.735$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(3\)	\(0\)	\(-2\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+3\beta q^{4}-q^{5}+(1+4\beta )q^{8}+\cdots\)
4851.2.a.bw	$4851$	$2$	4851.a	1.a	$1$	$4$	$4$	$38.735$	4.4.725.1	None	✓	$2$	$0$	\(2\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1-\beta _{1})q^{4}-\beta _{2}q^{5}+(1+\cdots)q^{8}+\cdots\)
4851.2.a.ce	$4851$	$2$	4851.a	1.a	$1$	$6$	$6$	$38.735$	6.6.672323328.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(1+\beta _{2})q^{5}+\cdots\)