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.i	$75$	$22$	75.a	1.a	$1$	$6$	$6$	$209.608$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(-92\)	\(354294\)	\(0\)	\(-1327143454\)		$-$	$-$	$+$	$2^{18}\cdot 3^{6}\cdot 5^{7}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(-15+\beta _{1})q^{2}+3^{10}q^{3}+(731822+\cdots)q^{4}+\cdots\)
75.22.a.m	$75$	$22$	75.a	1.a	$1$	$10$	$10$	$209.608$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(-645\)	\(590490\)	\(0\)	\(-115357290\)		$-$	$-$	$+$	$2^{24}\cdot 3^{14}\cdot 5^{24}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(-65+\beta _{1})q^{2}+3^{10}q^{3}+(1004337+\cdots)q^{4}+\cdots\)