Newform search results

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

Results (8 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2
1024.4.a.b	$1024$	$4$	1024.a	1.a	$1$	$2$	$2$	$60.418$	\(\Q(\sqrt{2}) \)	\(\Q(\sqrt{-1}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+13\beta q^{5}-3^{3}q^{9}+55\beta q^{13}-104q^{17}+\cdots\)
1024.4.a.f	$1024$	$4$	1024.a	1.a	$1$	$4$	$4$	$60.418$	\(\Q(\sqrt{2}, \sqrt{17})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-104\)		$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(-3\beta _{1}+\beta _{2})q^{3}+(3\beta _{1}-2\beta _{2})q^{5}+\cdots\)
1024.4.a.h	$1024$	$4$	1024.a	1.a	$1$	$4$	$4$	$60.418$	\(\Q(\sqrt{2}, \sqrt{5})\)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$2^{5}$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{3}-7\beta _{1}q^{5}-\beta _{3}q^{7}+13q^{9}+\cdots\)
1024.4.a.i	$1024$	$4$	1024.a	1.a	$1$	$4$	$4$	$60.418$	\(\Q(\sqrt{2}, \sqrt{17})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(104\)		$+$	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(-3\beta _{1}+\beta _{2})q^{3}+(-3\beta _{1}+2\beta _{2}+\cdots)q^{5}+\cdots\)
1024.4.a.j	$1024$	$4$	1024.a	1.a	$1$	$4$	$4$	$60.418$	\(\Q(\sqrt{2}, \sqrt{43})\)	None	✓	$2$	$0$	\(0\)	\(12\)	\(0\)	\(0\)		$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(3-\beta _{3})q^{3}+(-4\beta _{1}+\beta _{2})q^{5}+(5\beta _{1}+\cdots)q^{7}+\cdots\)
1024.4.a.l	$1024$	$4$	1024.a	1.a	$1$	$8$	$8$	$60.418$	8.8.\(\cdots\).3	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$2^{12}$	$\mathrm{SU}(2)$	\(q-\beta _{5}q^{3}+(\beta _{1}-\beta _{3}+\beta _{6})q^{5}+(2\beta _{1}+\cdots)q^{7}+\cdots\)
1024.4.a.n	$1024$	$4$	1024.a	1.a	$1$	$10$	$10$	$60.418$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(28\)		$+$	$+$	$2^{22}$	$\mathrm{SU}(2)$	\(q+\beta _{7}q^{3}-\beta _{4}q^{5}+(3+\beta _{2})q^{7}+(6+\beta _{2}+\cdots)q^{9}+\cdots\)
1024.4.a.p	$1024$	$4$	1024.a	1.a	$1$	$12$	$12$	$60.418$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(40\)	\(0\)		$+$	$+$	$2^{33}$	$\mathrm{SU}(2)$	\(q-\beta _{3}q^{3}+(3-\beta _{7})q^{5}+(-\beta _{3}+\beta _{9}+\cdots)q^{7}+\cdots\)