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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		503
503.2.a.a	$503$	$2$	503.a	1.a	$1$	$1$	$1$	$4.016$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(-4\)	\(-3\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}-4q^{5}-q^{6}-3q^{7}+\cdots\)
503.2.a.c	$503$	$2$	503.a	1.a	$1$	$1$	$1$	$4.016$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(3\)	\(-2\)	\(3\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+3q^{3}-q^{4}-2q^{5}+3q^{6}+3q^{7}+\cdots\)
503.2.a.d	$503$	$2$	503.a	1.a	$1$	$3$	$3$	$4.016$	3.3.257.1	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(1\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+\beta _{1}q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+\cdots\)
503.2.a.f	$503$	$2$	503.a	1.a	$1$	$26$	$26$	$4.016$		None	✓	$1$	$0$	\(4\)	\(4\)	\(9\)	\(11\)		$-$	$-$		$\mathrm{SU}(2)$