Newform search results

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

Results (3 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		7	11
847.6.a.m	$847$	$6$	847.a	1.a	$1$	$13$	$13$	$135.845$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(8\)	\(-1\)	\(-69\)	\(637\)		$-$	$+$	$-$	$2^{7}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(\beta _{1}+\beta _{5})q^{3}+(19-\beta _{1}+\cdots)q^{4}+\cdots\)
847.6.a.o	$847$	$6$	847.a	1.a	$1$	$26$	$26$	$135.845$		None	✓	$1$	$0$	\(16\)	\(-2\)	\(156\)	\(1274\)		$-$	$+$	$-$		$\mathrm{SU}(2)$
847.6.a.s	$847$	$6$	847.a	1.a	$1$	$32$	$32$	$135.845$		None	✓	$1$	$0$	\(3\)	\(54\)	\(142\)	\(1568\)		$-$	$+$	$-$		$\mathrm{SU}(2)$