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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3
384.10.a.h	$384$	$10$	384.a	1.a	$1$	$4$	$4$	$197.774$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(324\)	\(1728\)	\(4840\)		$+$	$-$	$-$	$2^{15}\cdot 3$	$\mathrm{SU}(2)$	\(q+3^{4}q^{3}+(432+\beta _{1})q^{5}+(1210+\beta _{1}+\cdots)q^{7}+\cdots\)
384.10.a.n	$384$	$10$	384.a	1.a	$1$	$5$	$5$	$197.774$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(405\)	\(-240\)	\(38\)		$+$	$-$	$-$	$2^{29}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+3^{4}q^{3}+(-48-\beta _{1})q^{5}+(8-\beta _{1}+\cdots)q^{7}+\cdots\)
384.10.a.o	$384$	$10$	384.a	1.a	$1$	$5$	$5$	$197.774$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(405\)	\(240\)	\(-38\)		$+$	$-$	$-$	$2^{29}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+3^{4}q^{3}+(48+\beta _{1})q^{5}+(-8+\beta _{1}+\cdots)q^{7}+\cdots\)
384.10.a.p	$384$	$10$	384.a	1.a	$1$	$5$	$5$	$197.774$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(405\)	\(772\)	\(-38\)		$+$	$-$	$-$	$2^{29}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+3^{4}q^{3}+(154-\beta _{1})q^{5}+(-8+\beta _{2}+\cdots)q^{7}+\cdots\)