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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	7
735.4.a.m	$735$	$4$	735.a	1.a	$1$	$2$	$2$	$43.366$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-4\)	\(-6\)	\(10\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-2-\beta )q^{2}-3q^{3}+(1+4\beta )q^{4}+\cdots\)
735.4.a.q	$735$	$4$	735.a	1.a	$1$	$2$	$2$	$43.366$	\(\Q(\sqrt{41}) \)	None	✓	$1$	$0$	\(3\)	\(-6\)	\(10\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}-3q^{3}+(3+3\beta )q^{4}+5q^{5}+\cdots\)
735.4.a.v	$735$	$4$	735.a	1.a	$1$	$4$	$4$	$43.366$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(-12\)	\(20\)	\(0\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-3q^{3}+(10+\beta _{2})q^{4}+5q^{5}+\cdots\)
735.4.a.x	$735$	$4$	735.a	1.a	$1$	$5$	$5$	$43.366$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(-15\)	\(25\)	\(0\)		$+$	$-$	$-$	$+$	$2\cdot 7$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-3q^{3}+(4+\beta _{1}+\beta _{2})q^{4}+\cdots\)