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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	11
825.6.a.e	$825$	$6$	825.a	1.a	$1$	$2$	$2$	$132.317$	\(\Q(\sqrt{177}) \)	None	✓	$1$	$0$	\(5\)	\(18\)	\(0\)	\(286\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(3-\beta )q^{2}+9q^{3}+(21-5\beta )q^{4}+(3^{3}+\cdots)q^{6}+\cdots\)
825.6.a.h	$825$	$6$	825.a	1.a	$1$	$3$	$3$	$132.317$	3.3.788.1	None	✓	$1$	$0$	\(-2\)	\(27\)	\(0\)	\(-152\)		$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{2}+9q^{3}+(-8-4\beta _{1}+\cdots)q^{4}+\cdots\)
825.6.a.k	$825$	$6$	825.a	1.a	$1$	$5$	$5$	$132.317$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(45\)	\(0\)	\(-116\)		$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+9q^{3}+(5^{2}+\beta _{1}+\beta _{3})q^{4}+\cdots\)
825.6.a.r	$825$	$6$	825.a	1.a	$1$	$9$	$9$	$132.317$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(81\)	\(0\)	\(57\)		$-$	$+$	$+$	$-$	$2^{4}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+9q^{3}+(19+\beta _{2})q^{4}-9\beta _{1}q^{6}+\cdots\)