Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

Results (5 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.n	$8712$	$2$	8712.a	1.a	$1$	$1$	$1$	$69.566$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}+6q^{13}-6q^{17}+2q^{19}-8q^{23}+\cdots\)
8712.2.a.bi	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-4\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+(-2-\beta )q^{7}+(-2+\beta )q^{13}+\cdots\)
8712.2.a.bv	$8712$	$2$	8712.a	1.a	$1$	$3$	$3$	$69.566$	3.3.1436.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{5}-\beta _{2}q^{7}+(1+\beta _{2})q^{13}+(-2+\cdots)q^{17}+\cdots\)
8712.2.a.bx	$8712$	$2$	8712.a	1.a	$1$	$3$	$3$	$69.566$	3.3.1436.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{5}+\beta _{2}q^{7}+(-1-\beta _{2})q^{13}+\cdots\)
8712.2.a.ci	$8712$	$2$	8712.a	1.a	$1$	$6$	$6$	$69.566$	6.6.62158000.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{2})q^{5}+(-\beta _{1}-\beta _{5})q^{7}+(1+\cdots)q^{13}+\cdots\)