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	19	47
8037.2.a.g	$8037$	$2$	8037.a	1.a	$1$	$4$	$4$	$64.176$	4.4.2777.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(-5\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+(1-\beta _{3})q^{4}-\beta _{3}q^{5}+(-1+\cdots)q^{7}+\cdots\)
8037.2.a.l	$8037$	$2$	8037.a	1.a	$1$	$7$	$7$	$64.176$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(0\)	\(10\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
8037.2.a.r	$8037$	$2$	8037.a	1.a	$1$	$23$	$23$	$64.176$		None	✓	$1$	$0$	\(-1\)	\(0\)	\(-1\)	\(15\)		$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$
8037.2.a.t	$8037$	$2$	8037.a	1.a	$1$	$24$	$24$	$64.176$		None	✓	$1$	$0$	\(-2\)	\(0\)	\(2\)	\(6\)		$-$	$-$	$-$	$-$		$\mathrm{SU}(2)$