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	19
912.6.a.i	$912$	$6$	912.a	1.a	$1$	$2$	$2$	$146.270$	\(\Q(\sqrt{201}) \)	None	✓	$1$	$0$	\(0\)	\(18\)	\(-13\)	\(33\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+9q^{3}+(-4-5\beta )q^{5}+(22-11\beta )q^{7}+\cdots\)
912.6.a.j	$912$	$6$	912.a	1.a	$1$	$2$	$2$	$146.270$	\(\Q(\sqrt{2441}) \)	None	✓	$1$	$0$	\(0\)	\(18\)	\(-5\)	\(105\)		$-$	$-$	$-$	$-$	$3$	$\mathrm{SU}(2)$	\(q+9q^{3}+(-3-\beta )q^{5}+(53+\beta )q^{7}+\cdots\)
912.6.a.r	$912$	$6$	912.a	1.a	$1$	$4$	$4$	$146.270$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(36\)	\(-8\)	\(142\)		$-$	$-$	$-$	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+9q^{3}+(-3-\beta _{1}-3\beta _{3})q^{5}+(33+\cdots)q^{7}+\cdots\)
912.6.a.s	$912$	$6$	912.a	1.a	$1$	$4$	$4$	$146.270$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(36\)	\(117\)	\(33\)		$-$	$-$	$-$	$-$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q+9q^{3}+(29-\beta _{2})q^{5}+(8-\beta _{1})q^{7}+\cdots\)