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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3
48.22.a.a	$48$	$22$	48.a	1.a	$1$	$1$	$1$	$134.149$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-59049\)	\(-23245050\)	\(1322977768\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3^{10}q^{3}-23245050q^{5}+1322977768q^{7}+\cdots\)
48.22.a.b	$48$	$22$	48.a	1.a	$1$	$1$	$1$	$134.149$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-59049\)	\(-11268090\)	\(-281914136\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3^{10}q^{3}-11268090q^{5}-281914136q^{7}+\cdots\)
48.22.a.c	$48$	$22$	48.a	1.a	$1$	$1$	$1$	$134.149$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-59049\)	\(26444550\)	\(-166115864\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3^{10}q^{3}+26444550q^{5}-166115864q^{7}+\cdots\)
48.22.a.g	$48$	$22$	48.a	1.a	$1$	$2$	$2$	$134.149$	\(\Q(\sqrt{649}) \)	None	✓	$1$	$0$	\(0\)	\(-118098\)	\(996876\)	\(-679896112\)		$-$	$+$	$-$	$2^{9}\cdot 3^{2}\cdot 7$	$\mathrm{SU}(2)$	\(q-3^{10}q^{3}+(498438+53\beta )q^{5}+(-339948056+\cdots)q^{7}+\cdots\)