Newform search results

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

Results (10 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.a	$9216$	$2$	9216.a	1.a	$1$	$2$	$2$	$73.590$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-8\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}-4q^{7}-4\beta q^{11}+3\beta q^{13}+\cdots\)
9216.2.a.c	$9216$	$2$	9216.a	1.a	$1$	$2$	$2$	$73.590$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-8\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}-4q^{7}-4\beta q^{11}-3\beta q^{13}+\cdots\)
9216.2.a.k	$9216$	$2$	9216.a	1.a	$1$	$2$	$2$	$73.590$	\(\Q(\sqrt{2}) \)	\(\Q(\sqrt{-1}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+3\beta q^{5}-5\beta q^{13}-2q^{17}+13q^{25}+\cdots\)
9216.2.a.m	$9216$	$2$	9216.a	1.a	$1$	$2$	$2$	$73.590$	\(\Q(\sqrt{2}) \)	\(\Q(\sqrt{-1}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+3\beta q^{5}+5\beta q^{13}+2q^{17}+13q^{25}+\cdots\)
9216.2.a.t	$9216$	$2$	9216.a	1.a	$1$	$2$	$2$	$73.590$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(8\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+4q^{7}+4\beta q^{11}+3\beta q^{13}+\cdots\)
9216.2.a.v	$9216$	$2$	9216.a	1.a	$1$	$2$	$2$	$73.590$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(8\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+4q^{7}+4\beta q^{11}-3\beta q^{13}+\cdots\)
9216.2.a.bg	$9216$	$2$	9216.a	1.a	$1$	$4$	$4$	$73.590$	\(\Q(\zeta_{24})^+\)	\(\Q(\sqrt{-3}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{2}$	$N(\mathrm{U}(1))$	\(q+(2\beta _{1}+\beta _{2})q^{7}+(\beta _{1}+2\beta _{2})q^{13}+\beta _{3}q^{19}+\cdots\)
9216.2.a.bh	$9216$	$2$	9216.a	1.a	$1$	$4$	$4$	$73.590$	\(\Q(\zeta_{24})^+\)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{5}-\beta _{1}q^{7}+\beta _{3}q^{11}+\beta _{1}q^{13}+\cdots\)
9216.2.a.bs	$9216$	$2$	9216.a	1.a	$1$	$8$	$8$	$73.590$	8.8.3288334336.1	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q-\beta _{4}q^{5}+\beta _{7}q^{7}-\beta _{2}q^{11}+(2-\beta _{5}+\cdots)q^{13}+\cdots\)
9216.2.a.bt	$9216$	$2$	9216.a	1.a	$1$	$8$	$8$	$73.590$	8.8.\(\cdots\).1	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(8\)		$-$	$+$	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q-\beta _{5}q^{5}+(1-\beta _{6})q^{7}+(-\beta _{2}-\beta _{5}+\cdots)q^{11}+\cdots\)