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	5	19
3040.2.a.a	$3040$	$2$	3040.a	1.a	$1$	$1$	$1$	$24.275$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(1\)	\(3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+q^{5}+3q^{7}-2q^{9}+5q^{13}+\cdots\)
3040.2.a.g	$3040$	$2$	3040.a	1.a	$1$	$2$	$2$	$24.275$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{5}+\beta q^{7}-3q^{9}+4q^{11}+(2+\beta )q^{13}+\cdots\)
3040.2.a.p	$3040$	$2$	3040.a	1.a	$1$	$3$	$3$	$24.275$	3.3.148.1	None	✓	$1$	$0$	\(0\)	\(4\)	\(3\)	\(-2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{3}+q^{5}+(-1+\beta _{1}-\beta _{2})q^{7}+\cdots\)
3040.2.a.v	$3040$	$2$	3040.a	1.a	$1$	$5$	$5$	$24.275$	5.5.2363492.1	None	✓	$1$	$0$	\(0\)	\(-2\)	\(5\)	\(2\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+q^{5}+\beta _{2}q^{7}+(4-\beta _{3})q^{9}+\cdots\)