Newform search results

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

Results (6 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
9216.2.a.j	$9216$	$2$	9216.a	1.a	$1$	$2$	$2$	$73.590$	\(\Q(\sqrt{2}) \)	\(\Q(\sqrt{-1}) \)	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+\beta q^{5}+\beta q^{13}-2q^{17}-3q^{25}-3\beta q^{29}+\cdots\)
9216.2.a.l	$9216$	$2$	9216.a	1.a	$1$	$2$	$2$	$73.590$	\(\Q(\sqrt{2}) \)	\(\Q(\sqrt{-1}) \)	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+\beta q^{5}-\beta q^{13}+2q^{17}-3q^{25}-3\beta q^{29}+\cdots\)
9216.2.a.be	$9216$	$2$	9216.a	1.a	$1$	$4$	$4$	$73.590$	\(\Q(\zeta_{24})^+\)	None	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{5}-\beta _{1}q^{7}+\beta _{3}q^{11}-\beta _{1}q^{13}+\cdots\)
9216.2.a.bf	$9216$	$2$	9216.a	1.a	$1$	$4$	$4$	$73.590$	\(\Q(\zeta_{24})^+\)	\(\Q(\sqrt{-3}) \)	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2^{2}$	$N(\mathrm{U}(1))$	\(q+(-2\beta _{1}-\beta _{2})q^{7}+(\beta _{1}+2\beta _{2})q^{13}+\cdots\)
9216.2.a.bq	$9216$	$2$	9216.a	1.a	$1$	$8$	$8$	$73.590$	8.8.\(\cdots\).1	None	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(-8\)		$+$	$+$	$+$	$2^{6}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{5}+(-1-\beta _{5})q^{7}+(-\beta _{2}+\beta _{7})q^{11}+\cdots\)
9216.2.a.br	$9216$	$2$	9216.a	1.a	$1$	$8$	$8$	$73.590$	8.8.3288334336.1	None	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$2^{6}$	$\mathrm{SU}(2)$	\(q-\beta _{4}q^{5}-\beta _{7}q^{7}+\beta _{2}q^{11}+(-2+\beta _{5}+\cdots)q^{13}+\cdots\)