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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		5
25.34.a.e	$25$	$34$	25.a	1.a	$1$	$11$	$11$	$172.457$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(9393\)	\(80330849\)	\(0\)	\(21\!\cdots\!58\)		$-$	$-$	$2^{47}\cdot 3^{12}\cdot 5^{30}\cdot 7^{2}\cdot 11^{3}$	$\mathrm{SU}(2)$	\(q+(854-\beta _{1})q^{2}+(7302793+124\beta _{1}+\cdots)q^{3}+\cdots\)
25.34.a.f	$25$	$34$	25.a	1.a	$1$	$16$	$16$	$172.457$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$2^{85}\cdot 3^{26}\cdot 5^{66}\cdot 7^{4}\cdot 11^{8}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(52\beta _{1}+\beta _{9})q^{3}+(4553207930+\cdots)q^{4}+\cdots\)