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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7	11
1617.2.a.f	$1617$	$2$	1617.a	1.a	$1$	$1$	$1$	$12.912$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}-q^{4}-q^{6}-3q^{8}+q^{9}+\cdots\)
1617.2.a.k	$1617$	$2$	1617.a	1.a	$1$	$2$	$2$	$12.912$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-3\)	\(-2\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}-q^{3}+3\beta q^{4}+(1-2\beta )q^{5}+\cdots\)
1617.2.a.t	$1617$	$2$	1617.a	1.a	$1$	$3$	$3$	$12.912$	3.3.229.1	None	✓	$1$	$0$	\(2\)	\(-3\)	\(-4\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{2})q^{2}-q^{3}+(2+\beta _{1})q^{4}+(-1+\cdots)q^{5}+\cdots\)
1617.2.a.x	$1617$	$2$	1617.a	1.a	$1$	$4$	$4$	$12.912$	4.4.11344.1	None	✓	$1$	$0$	\(2\)	\(-4\)	\(-4\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)