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.a	$825$	$6$	825.a	1.a	$1$	$1$	$1$	$132.317$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-9\)	\(0\)	\(26\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-9q^{3}-31q^{4}+9q^{6}+26q^{7}+\cdots\)
825.6.a.i	$825$	$6$	825.a	1.a	$1$	$3$	$3$	$132.317$	3.3.3368.1	None	✓	$1$	$0$	\(2\)	\(-27\)	\(0\)	\(232\)		$+$	$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{2}-9q^{3}+(8+4\beta _{2})q^{4}+\cdots\)
825.6.a.n	$825$	$6$	825.a	1.a	$1$	$7$	$7$	$132.317$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(-63\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$2^{6}\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-9q^{3}+(28+\beta _{2})q^{4}+9\beta _{1}q^{6}+\cdots\)
825.6.a.u	$825$	$6$	825.a	1.a	$1$	$10$	$10$	$132.317$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(-90\)	\(0\)	\(-188\)		$+$	$+$	$-$	$-$	$2^{4}\cdot 5^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-9q^{3}+(22+\beta _{2})q^{4}-9\beta _{1}q^{6}+\cdots\)