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	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	5
1500.4.a.g	$1500$	$4$	1500.a	1.a	$1$	$6$	$6$	$88.503$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	✓			1500.4.a.b	$1$	$0$	\(0\)	\(18\)	\(0\)	\(23\)		$-$	$-$	$+$	$+$	$2^{2}\cdot 5^{3}$	$\mathrm{SU}(2)$	\(q+3q^{3}+(4-\beta _{1}-\beta _{2})q^{7}+9q^{9}+(10+\cdots)q^{11}+\cdots\)
1500.4.a.h	$1500$	$4$	1500.a	1.a	$1$	$6$	$6$	$88.503$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	✓			1500.4.a.a	$1$	$0$	\(0\)	\(18\)	\(0\)	\(28\)		$-$	$-$	$+$	$+$	$2^{2}\cdot 5^{3}$	$\mathrm{SU}(2)$	\(q+3q^{3}+(4+\beta _{1}-\beta _{2})q^{7}+9q^{9}+(-1+\cdots)q^{11}+\cdots\)