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	Twist minimal	Minimal twist	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
75.16.a.a	$75$	$16$	75.a	1.a	$1$	$1$	$1$	$107.020$	\(\Q\)	None	✓		3.16.a.b	$1$	$0$	\(72\)	\(-2187\)	\(0\)	\(2149000\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+72q^{2}-3^{7}q^{3}-27584q^{4}-54^{3}q^{6}+\cdots\)
75.16.a.d	$75$	$16$	75.a	1.a	$1$	$2$	$2$	$107.020$	\(\Q(\sqrt{5641}) \)	None	✓		15.16.a.a	$1$	$0$	\(158\)	\(-4374\)	\(0\)	\(395136\)		$+$	$+$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+(79-\beta )q^{2}-3^{7}q^{3}+(24242-158\beta )q^{4}+\cdots\)
75.16.a.e	$75$	$16$	75.a	1.a	$1$	$3$	$3$	$107.020$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓		15.16.a.d	$1$	$0$	\(-191\)	\(-6561\)	\(0\)	\(-2816048\)		$+$	$+$	$+$	$2\cdot 3\cdot 5$	$\mathrm{SU}(2)$	\(q+(-2^{6}+\beta _{1})q^{2}-3^{7}q^{3}+(17533+\cdots)q^{4}+\cdots\)
75.16.a.j	$75$	$16$	75.a	1.a	$1$	$6$	$6$	$107.020$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	✓	75.16.a.i	$1$	$0$	\(234\)	\(-13122\)	\(0\)	\(-2590222\)		$+$	$+$	$+$	$2^{13}\cdot 3^{4}\cdot 5^{7}$	$\mathrm{SU}(2)$	\(q+(39-\beta _{1})q^{2}-3^{7}q^{3}+(15519-2^{6}\beta _{1}+\cdots)q^{4}+\cdots\)