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	7
784.6.a.bj	$784$	$6$	784.a	1.a	$1$	$5$	$5$	$125.741$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-13\)	\(31\)	\(0\)		$+$	$+$	$+$	$2^{9}\cdot 7$	$\mathrm{SU}(2)$	\(q+(-3+\beta _{1})q^{3}+(6+\beta _{3})q^{5}+(47-4\beta _{1}+\cdots)q^{9}+\cdots\)
784.6.a.bk	$784$	$6$	784.a	1.a	$1$	$5$	$5$	$125.741$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-5\)	\(-81\)	\(0\)		$+$	$+$	$+$	$2^{9}\cdot 7$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{3}+(-2^{4}-\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
784.6.a.bn	$784$	$6$	784.a	1.a	$1$	$6$	$6$	$125.741$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2^{4}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(-\beta _{1}+\beta _{3})q^{5}+(-20+\beta _{4}+\cdots)q^{9}+\cdots\)
784.6.a.bo	$784$	$6$	784.a	1.a	$1$	$8$	$8$	$125.741$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2^{10}\cdot 7^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}+(\beta _{1}+\beta _{4})q^{5}+(116+\beta _{3}+\cdots)q^{9}+\cdots\)