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
75.22.a.l	$75$	$22$	75.a	1.a	$1$	$8$	$8$	$209.608$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(666\)	\(-472392\)	\(0\)	\(134034472\)		$+$	$-$	$-$	$2^{21}\cdot 3^{10}\cdot 5^{14}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(83+\beta _{1})q^{2}-3^{10}q^{3}+(1335201+\cdots)q^{4}+\cdots\)
75.22.a.n	$75$	$22$	75.a	1.a	$1$	$10$	$10$	$209.608$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(645\)	\(-590490\)	\(0\)	\(115357290\)		$+$	$-$	$-$	$2^{24}\cdot 3^{14}\cdot 5^{24}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(65-\beta _{1})q^{2}-3^{10}q^{3}+(1004337+\cdots)q^{4}+\cdots\)