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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	7
4725.2.a.k	$4725$	$2$	4725.a	1.a	$1$	$1$	$1$	$37.729$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{4}-q^{7}+6q^{11}+4q^{13}+4q^{16}+\cdots\)
4725.2.a.n	$4725$	$2$	4725.a	1.a	$1$	$1$	$1$	$37.729$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}-q^{7}-3q^{8}-3q^{11}-3q^{13}+\cdots\)
4725.2.a.u	$4725$	$2$	4725.a	1.a	$1$	$2$	$2$	$37.729$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-3\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}+3\beta q^{4}-q^{7}+(-1+\cdots)q^{8}+\cdots\)
4725.2.a.ba	$4725$	$2$	4725.a	1.a	$1$	$2$	$2$	$37.729$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{4}-q^{7}-\beta q^{8}+\beta q^{11}+\cdots\)
4725.2.a.bh	$4725$	$2$	4725.a	1.a	$1$	$2$	$2$	$37.729$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(3\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+3\beta q^{4}-q^{7}+(1+4\beta )q^{8}+\cdots\)
4725.2.a.bj	$4725$	$2$	4725.a	1.a	$1$	$3$	$3$	$37.729$	3.3.257.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+(1+\beta _{1}-\beta _{2})q^{4}-q^{7}+(3+\cdots)q^{8}+\cdots\)
4725.2.a.bp	$4725$	$2$	4725.a	1.a	$1$	$4$	$4$	$37.729$	\(\Q(\sqrt{2}, \sqrt{29})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{7}-2\beta _{1}q^{8}-\beta _{2}q^{11}+\cdots\)
4725.2.a.bx	$4725$	$2$	4725.a	1.a	$1$	$4$	$4$	$37.729$	4.4.144344.1	None	✓	$1$	$0$	\(1\)	\(0\)	\(0\)	\(-4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}-q^{7}+(1+2\beta _{1}+\cdots)q^{8}+\cdots\)