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	11
8712.2.a.d	$8712$	$2$	8712.a	1.a	$1$	$1$	$1$	$69.566$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}-2q^{7}-2q^{13}-2q^{17}-4q^{19}+\cdots\)
8712.2.a.w	$8712$	$2$	8712.a	1.a	$1$	$1$	$1$	$69.566$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+2q^{7}+2q^{13}-2q^{17}+4q^{19}+\cdots\)
8712.2.a.cg	$8712$	$2$	8712.a	1.a	$1$	$4$	$4$	$69.566$	\(\Q(\sqrt{3}, \sqrt{19})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{5}+(\beta _{1}-\beta _{2})q^{7}+\beta _{1}q^{13}+(2+\cdots)q^{17}+\cdots\)
8712.2.a.cj	$8712$	$2$	8712.a	1.a	$1$	$6$	$6$	$69.566$	6.6.62158000.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(5\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{2})q^{5}+(\beta _{1}+\beta _{5})q^{7}+(-1+\beta _{2}+\cdots)q^{13}+\cdots\)