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	5	11
4840.2.a.c	$4840$	$2$	4840.a	1.a	$1$	$1$	$1$	$38.648$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+2q^{7}-3q^{9}+8q^{19}-8q^{23}+\cdots\)
4840.2.a.n	$4840$	$2$	4840.a	1.a	$1$	$2$	$2$	$38.648$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-2\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-q^{5}+(-2+\beta )q^{7}+(1+\beta )q^{9}+\cdots\)
4840.2.a.s	$4840$	$2$	4840.a	1.a	$1$	$3$	$3$	$38.648$	3.3.788.1	None	✓	$1$	$1$	\(0\)	\(1\)	\(-3\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-q^{5}+(-1-\beta _{1}+\beta _{2})q^{7}+\cdots\)
4840.2.a.t	$4840$	$2$	4840.a	1.a	$1$	$3$	$3$	$38.648$	3.3.404.1	None	✓	$1$	$1$	\(0\)	\(1\)	\(-3\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}-q^{5}-\beta _{1}q^{7}+(2+\beta _{1}-\beta _{2})q^{9}+\cdots\)
4840.2.a.ba	$4840$	$2$	4840.a	1.a	$1$	$6$	$6$	$38.648$	6.6.25903625.1	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-6\)	\(-7\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-q^{5}+(-1+\beta _{2}-\beta _{3}+\beta _{5})q^{7}+\cdots\)