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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	7	11	13
8008.2.a.a	$8008$	$2$	8008.a	1.a	$1$	$1$	$1$	$63.944$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-1\)	\(1\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-q^{5}+q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
8008.2.a.h	$8008$	$2$	8008.a	1.a	$1$	$2$	$2$	$63.944$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(3\)	\(5\)	\(2\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+(2+\beta )q^{5}+q^{7}+(1+3\beta )q^{9}+\cdots\)
8008.2.a.j	$8008$	$2$	8008.a	1.a	$1$	$5$	$5$	$63.944$	5.5.668973.1	None	✓	$1$	$0$	\(0\)	\(1\)	\(-1\)	\(5\)		$+$	$-$	$+$	$+$	$-$	$3$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{3}q^{5}+q^{7}+(1+\beta _{2}-\beta _{4})q^{9}+\cdots\)
8008.2.a.k	$8008$	$2$	8008.a	1.a	$1$	$6$	$6$	$63.944$	6.6.244558277.1	None	✓	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(6\)		$+$	$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{5}q^{5}+q^{7}+(2+\beta _{2})q^{9}+\cdots\)