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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7
147.4.a.a	$147$	$4$	147.a	1.a	$1$	$1$	$1$	$8.673$	\(\Q\)	None	✓	$1$	$1$	\(-3\)	\(-3\)	\(3\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{2}-3q^{3}+q^{4}+3q^{5}+9q^{6}+\cdots\)
147.4.a.d	$147$	$4$	147.a	1.a	$1$	$1$	$1$	$8.673$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-3\)	\(12\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-3q^{3}-7q^{4}+12q^{5}+3q^{6}+\cdots\)
147.4.a.f	$147$	$4$	147.a	1.a	$1$	$1$	$1$	$8.673$	\(\Q\)	None	✓	$1$	$1$	\(4\)	\(-3\)	\(-18\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}-3q^{3}+8q^{4}-18q^{5}-12q^{6}+\cdots\)
147.4.a.i	$147$	$4$	147.a	1.a	$1$	$2$	$2$	$8.673$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$1$	\(-3\)	\(-6\)	\(-6\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}-3q^{3}+(7+3\beta )q^{4}+\cdots\)