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	7	19
6384.2.a.b	$6384$	$2$	6384.a	1.a	$1$	$1$	$1$	$50.976$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-4\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-4q^{5}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
6384.2.a.k	$6384$	$2$	6384.a	1.a	$1$	$1$	$1$	$50.976$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(1\)		$+$	$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{7}+q^{9}-6q^{11}+4q^{13}+\cdots\)
6384.2.a.bk	$6384$	$2$	6384.a	1.a	$1$	$2$	$2$	$50.976$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(2\)		$+$	$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta q^{5}+q^{7}+q^{9}-2q^{13}-\beta q^{15}+\cdots\)
6384.2.a.bv	$6384$	$2$	6384.a	1.a	$1$	$3$	$3$	$50.976$	3.3.316.1	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(3\)		$+$	$+$	$-$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{7}+q^{9}+(1-\beta _{1})q^{11}+(-2+\cdots)q^{13}+\cdots\)