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	5	19
5700.2.a.l	$5700$	$2$	5700.a	1.a	$1$	$1$	$1$	$45.515$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(-1\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-q^{7}+q^{9}-5q^{11}+6q^{13}+\cdots\)
5700.2.a.r	$5700$	$2$	5700.a	1.a	$1$	$1$	$1$	$45.515$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(2\)		$-$	$-$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{7}+q^{9}+4q^{11}+2q^{17}+\cdots\)
5700.2.a.z	$5700$	$2$	5700.a	1.a	$1$	$3$	$3$	$45.515$	3.3.1524.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(0\)		$-$	$-$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}+\beta _{1}q^{7}+q^{9}+(-1-\beta _{2})q^{11}+\cdots\)
5700.2.a.bb	$5700$	$2$	5700.a	1.a	$1$	$4$	$4$	$45.515$	\(\Q(\sqrt{6}, \sqrt{22})\)	None	✓	$1$	$0$	\(0\)	\(4\)	\(0\)	\(2\)		$-$	$-$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}+(1+\beta _{2})q^{7}+q^{9}+(\beta _{1}-\beta _{2}+\cdots)q^{11}+\cdots\)