Newform search results

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

Results (displaying both 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.u	$735$	$4$	735.a	1.a	$1$	$4$	$4$	$43.366$	4.4.51264.1	None	✓	$1$	$1$	\(-6\)	\(12\)	\(-20\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{1}+\beta _{2})q^{2}+3q^{3}+(6-\beta _{1}+\cdots)q^{4}+\cdots\)
735.4.a.y	$735$	$4$	735.a	1.a	$1$	$5$	$5$	$43.366$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(-1\)	\(15\)	\(-25\)	\(0\)		$-$	$+$	$+$	$-$	$2\cdot 7$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+3q^{3}+(4+\beta _{1}+\beta _{2})q^{4}+\cdots\)