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	3	13
4056.2.a.k	$4056$	$2$	4056.a	1.a	$1$	$1$	$1$	$32.387$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-4\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-4q^{5}-2q^{7}+q^{9}+2q^{11}+\cdots\)
4056.2.a.p	$4056$	$2$	4056.a	1.a	$1$	$1$	$1$	$32.387$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(2\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}-2q^{7}+q^{9}-4q^{11}+\cdots\)
4056.2.a.bb	$4056$	$2$	4056.a	1.a	$1$	$3$	$3$	$32.387$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(1-2\beta _{1}+\beta _{2})q^{5}+(-1+2\beta _{1}+\cdots)q^{7}+\cdots\)
4056.2.a.bd	$4056$	$2$	4056.a	1.a	$1$	$4$	$4$	$32.387$	4.4.25488.1	None	✓	$1$	$1$	\(0\)	\(4\)	\(-4\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-1+\beta _{1}-\beta _{2})q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots\)