Newform search results

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

Results (5 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.e	$4725$	$2$	4725.a	1.a	$1$	$1$	$1$	$37.729$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(0\)	\(-1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}-q^{7}+3q^{8}+3q^{11}+7q^{13}+\cdots\)
4725.2.a.bu	$4725$	$2$	4725.a	1.a	$1$	$4$	$4$	$37.729$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{3})q^{4}-q^{7}+2\beta _{2}q^{8}+\cdots\)
4725.2.a.by	$4725$	$2$	4725.a	1.a	$1$	$4$	$4$	$37.729$	4.4.15529.1	None	✓	$1$	$0$	\(3\)	\(0\)	\(0\)	\(-4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2}-\beta _{3})q^{4}+\cdots\)
4725.2.a.ca	$4725$	$2$	4725.a	1.a	$1$	$5$	$5$	$37.729$	5.5.2161212.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-5\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}-q^{7}+(-1-\beta _{1}+\cdots)q^{8}+\cdots\)
4725.2.a.ce	$4725$	$2$	4725.a	1.a	$1$	$8$	$8$	$37.729$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-8\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{3})q^{4}-q^{7}+(2\beta _{1}+\beta _{4}+\cdots)q^{8}+\cdots\)