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	19
5472.2.a.e	$5472$	$2$	5472.a	1.a	$1$	$1$	$1$	$43.694$	\(\Q\)	None	✓	$1$	$2$	\(0\)	\(0\)	\(-2\)	\(-4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}-4q^{7}-6q^{11}-4q^{13}+q^{19}+\cdots\)
5472.2.a.bb	$5472$	$2$	5472.a	1.a	$1$	$2$	$2$	$43.694$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+(1+2\beta )q^{7}+(2-\beta )q^{11}+(2+\cdots)q^{13}+\cdots\)
5472.2.a.bh	$5472$	$2$	5472.a	1.a	$1$	$2$	$2$	$43.694$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{5}+2\beta q^{11}+(-1+\beta )q^{13}+\cdots\)
5472.2.a.bv	$5472$	$2$	5472.a	1.a	$1$	$4$	$4$	$43.694$	4.4.19664.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(2\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(1-\beta _{3})q^{5}+(1+\beta _{2})q^{7}+(1+\beta _{3})q^{11}+\cdots\)