Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

Results (5 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.a	$75$	$22$	75.a	1.a	$1$	$1$	$1$	$209.608$	\(\Q\)	None	✓	$1$	$0$	\(-1728\)	\(59049\)	\(0\)	\(-538429808\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-12^{3}q^{2}+3^{10}q^{3}+888832q^{4}+\cdots\)
75.22.a.c	$75$	$22$	75.a	1.a	$1$	$1$	$1$	$209.608$	\(\Q\)	None	✓	$1$	$0$	\(2844\)	\(59049\)	\(0\)	\(-363303920\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2844q^{2}+3^{10}q^{3}+5991184q^{4}+\cdots\)
75.22.a.f	$75$	$22$	75.a	1.a	$1$	$3$	$3$	$209.608$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(-702\)	\(177147\)	\(0\)	\(2072418204\)		$-$	$+$	$-$	$2^{5}\cdot 3^{4}\cdot 5$	$\mathrm{SU}(2)$	\(q+(-234-\beta _{1})q^{2}+3^{10}q^{3}+(1748076+\cdots)q^{4}+\cdots\)
75.22.a.h	$75$	$22$	75.a	1.a	$1$	$4$	$4$	$209.608$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(897\)	\(236196\)	\(0\)	\(234577504\)		$-$	$+$	$-$	$2^{5}\cdot 3^{4}\cdot 5^{2}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(224+\beta _{1})q^{2}+3^{10}q^{3}+(-290854+\cdots)q^{4}+\cdots\)
75.22.a.k	$75$	$22$	75.a	1.a	$1$	$8$	$8$	$209.608$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-666\)	\(472392\)	\(0\)	\(-134034472\)		$-$	$+$	$-$	$2^{21}\cdot 3^{10}\cdot 5^{14}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(-83-\beta _{1})q^{2}+3^{10}q^{3}+(1335201+\cdots)q^{4}+\cdots\)