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	7	29
2842.2.a.b	$2842$	$2$	2842.a	1.a	$1$	$1$	$1$	$22.693$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(3\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+3q^{5}+q^{6}-q^{8}+\cdots\)
2842.2.a.n	$2842$	$2$	2842.a	1.a	$1$	$3$	$3$	$22.693$	3.3.568.1	None	✓	$1$	$1$	\(-3\)	\(-1\)	\(-5\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{2}q^{3}+q^{4}+(-2+\beta _{1})q^{5}+\cdots\)
2842.2.a.p	$2842$	$2$	2842.a	1.a	$1$	$4$	$4$	$22.693$	4.4.9248.1	None	✓	$2$	$1$	\(-4\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{3}q^{3}+q^{4}-\beta _{1}q^{5}+\beta _{3}q^{6}+\cdots\)
2842.2.a.s	$2842$	$2$	2842.a	1.a	$1$	$5$	$5$	$22.693$	5.5.369849.1	None	✓	$1$	$1$	\(-5\)	\(-3\)	\(-5\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-\beta _{1}+\beta _{3})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots\)