Newform search results

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

Results (displaying both 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	5	11
825.6.a.o	$825$	$6$	825.a	1.a	$1$	$7$	$7$	$132.317$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(9\)	\(-63\)	\(0\)	\(65\)		$+$	$-$	$-$	$+$	$2^{2}\cdot 5$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{2}-9q^{3}+(13+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
825.6.a.v	$825$	$6$	825.a	1.a	$1$	$13$	$13$	$132.317$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(-13\)	\(-117\)	\(0\)	\(-304\)		$+$	$-$	$-$	$+$	$2^{9}\cdot 3^{2}\cdot 5^{7}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}-9q^{3}+(2^{4}-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)