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
5625.2.a.l	$5625$	$2$	5625.a	1.a	$1$	$4$	$4$	$44.916$	\(\Q(\zeta_{15})^+\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(5\)		$+$	$-$	$-$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{4}+(\beta _{2}-2\beta _{3})q^{7}+(1+3\beta _{1}+\beta _{3})q^{13}+\cdots\)
5625.2.a.ba	$5625$	$2$	5625.a	1.a	$1$	$8$	$8$	$44.916$	8.8.\(\cdots\).2	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(10\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(\beta _{3}-2\beta _{5})q^{7}+\cdots\)
5625.2.a.bb	$5625$	$2$	5625.a	1.a	$1$	$8$	$8$	$44.916$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(10\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(1+\beta _{2}-\beta _{4}+\cdots)q^{7}+\cdots\)
5625.2.a.bf	$5625$	$2$	5625.a	1.a	$1$	$24$	$24$	$44.916$		None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$-$		$\mathrm{SU}(2)$