Newform search results

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

Results (12 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	19
6498.2.a.p	$6498$	$2$	6498.a	1.a	$1$	$1$	$1$	$51.887$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-2q^{5}+q^{8}-2q^{10}+4q^{11}+\cdots\)
6498.2.a.t	$6498$	$2$	6498.a	1.a	$1$	$1$	$1$	$51.887$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-4q^{7}+q^{8}+4q^{13}-4q^{14}+\cdots\)
6498.2.a.x	$6498$	$2$	6498.a	1.a	$1$	$1$	$1$	$51.887$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(4\)	\(-3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+4q^{5}-3q^{7}+q^{8}+4q^{10}+\cdots\)
6498.2.a.y	$6498$	$2$	6498.a	1.a	$1$	$1$	$1$	$51.887$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(4\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+4q^{5}+3q^{7}+q^{8}+4q^{10}+\cdots\)
6498.2.a.bf	$6498$	$2$	6498.a	1.a	$1$	$2$	$2$	$51.887$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(-5\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(-2-\beta )q^{5}+(2-\beta )q^{7}+\cdots\)
6498.2.a.bg	$6498$	$2$	6498.a	1.a	$1$	$2$	$2$	$51.887$	\(\Q(\sqrt{7}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(-2\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(-1+\beta )q^{5}+(1+\beta )q^{7}+\cdots\)
6498.2.a.bj	$6498$	$2$	6498.a	1.a	$1$	$2$	$2$	$51.887$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(1\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+\beta q^{5}+q^{8}+\beta q^{10}+4q^{11}+\cdots\)
6498.2.a.bk	$6498$	$2$	6498.a	1.a	$1$	$2$	$2$	$51.887$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(5\)	\(-2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(3-\beta )q^{5}+(-2+2\beta )q^{7}+\cdots\)
6498.2.a.bq	$6498$	$2$	6498.a	1.a	$1$	$3$	$3$	$51.887$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$0$	\(3\)	\(0\)	\(-6\)	\(6\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-2q^{5}+(2-2\beta _{1})q^{7}+q^{8}+\cdots\)
6498.2.a.bt	$6498$	$2$	6498.a	1.a	$1$	$3$	$3$	$51.887$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$0$	\(3\)	\(0\)	\(6\)	\(-3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(2+\beta _{1})q^{5}+(-1+2\beta _{1}+\cdots)q^{7}+\cdots\)
6498.2.a.bu	$6498$	$2$	6498.a	1.a	$1$	$3$	$3$	$51.887$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$0$	\(3\)	\(0\)	\(6\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(2-\beta _{1})q^{5}+(1-2\beta _{1}+\cdots)q^{7}+\cdots\)
6498.2.a.bz	$6498$	$2$	6498.a	1.a	$1$	$4$	$4$	$51.887$	4.4.40025.1	None	✓	$1$	$0$	\(4\)	\(0\)	\(-2\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-\beta _{1}q^{5}+(1+\beta _{2})q^{7}+q^{8}+\cdots\)