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.b	$1500$	$4$	1500.a	1.a	$1$	$6$	$6$	$88.503$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	✓			1500.4.a.b	$1$	$0$	\(0\)	\(-18\)	\(0\)	\(-23\)		$-$	$+$	$-$	$+$	$2^{2}\cdot 5^{3}$	$\mathrm{SU}(2)$	\(q-3q^{3}+(-4+\beta _{1}+\beta _{2})q^{7}+9q^{9}+\cdots\)
1500.4.a.d	$1500$	$4$	1500.a	1.a	$1$	$6$	$6$	$88.503$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	✓			1500.4.a.d	$1$	$0$	\(0\)	\(-18\)	\(0\)	\(12\)		$-$	$+$	$-$	$+$	$2^{2}\cdot 5^{3}$	$\mathrm{SU}(2)$	\(q-3q^{3}+(1+\beta _{1}-\beta _{5})q^{7}+9q^{9}+(-6+\cdots)q^{11}+\cdots\)