Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

Results (8 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	7
4900.2.a.g	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{9}-3q^{11}-2q^{13}-3q^{17}+\cdots\)
4900.2.a.i	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{9}+6q^{11}-2q^{13}+6q^{17}+\cdots\)
4900.2.a.v	$4900$	$2$	4900.a	1.a	$1$	$1$	$1$	$39.127$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+6q^{9}-2q^{11}+6q^{13}-2q^{17}+\cdots\)
4900.2.a.x	$4900$	$2$	4900.a	1.a	$1$	$2$	$2$	$39.127$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{3}-2\beta q^{9}+(-1-2\beta )q^{11}+\cdots\)
4900.2.a.y	$4900$	$2$	4900.a	1.a	$1$	$2$	$2$	$39.127$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2\beta q^{3}+5q^{9}+4q^{11}-3\beta q^{13}+\cdots\)
4900.2.a.z	$4900$	$2$	4900.a	1.a	$1$	$2$	$2$	$39.127$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{3}+2\beta q^{9}+(-1+2\beta )q^{11}+\cdots\)
4900.2.a.bc	$4900$	$2$	4900.a	1.a	$1$	$3$	$3$	$39.127$	3.3.257.1	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$3$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{3}+(2-\beta _{1}-\beta _{2})q^{9}+(1-\beta _{2})q^{11}+\cdots\)
4900.2.a.bi	$4900$	$2$	4900.a	1.a	$1$	$4$	$4$	$39.127$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{3}q^{9}+(-1-2\beta _{3})q^{11}+\cdots\)