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
825.4.a.e	$825$	$4$	825.a	1.a	$1$	$1$	$1$	$48.677$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-8q^{4}-2q^{7}+9q^{9}-11q^{11}+\cdots\)
825.4.a.l	$825$	$4$	825.a	1.a	$1$	$2$	$2$	$48.677$	\(\Q(\sqrt{97}) \)	None	✓	$1$	$1$	\(-1\)	\(6\)	\(0\)	\(-24\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+3q^{3}+(2^{4}+\beta )q^{4}-3\beta q^{6}+\cdots\)
825.4.a.n	$825$	$4$	825.a	1.a	$1$	$3$	$3$	$48.677$	3.3.788.1	None	✓	$1$	$1$	\(-1\)	\(9\)	\(0\)	\(16\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+3q^{3}+(-2-\beta _{1})q^{4}-3\beta _{2}q^{6}+\cdots\)
825.4.a.x	$825$	$4$	825.a	1.a	$1$	$5$	$5$	$48.677$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(15\)	\(0\)	\(-18\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+3q^{3}+(1+\beta _{2})q^{4}-3\beta _{1}q^{6}+\cdots\)