Newform search results

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

Results (4 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.m	$4851$	$2$	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.bb	$4851$	$2$	4851.a	1.a	$1$	$2$	$2$	$38.735$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(2\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-\beta q^{5}-3q^{8}-\beta q^{10}+\cdots\)
4851.2.a.cd	$4851$	$2$	4851.a	1.a	$1$	$6$	$6$	$38.735$	6.6.672323328.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(1+\beta _{2})q^{5}+\cdots\)
4851.2.a.ch	$4851$	$2$	4851.a	1.a	$1$	$10$	$10$	$38.735$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$2$	$0$	\(2\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+(2+\beta _{2}+\beta _{8})q^{4}-\beta _{7}q^{5}+\cdots\)