Newform search results

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

Results (9 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	7
3969.2.a.a	$3969$	$2$	3969.a	1.a	$1$	$1$	$1$	$31.693$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(0\)	\(-1\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}-q^{5}+3q^{8}+q^{10}-5q^{11}+\cdots\)
3969.2.a.i	$3969$	$2$	3969.a	1.a	$1$	$2$	$2$	$31.693$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{4}+\beta q^{5}-\beta q^{8}+3q^{10}+\cdots\)
3969.2.a.l	$3969$	$2$	3969.a	1.a	$1$	$3$	$3$	$31.693$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$1$	\(-3\)	\(0\)	\(3\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(1-2\beta _{1}+\beta _{2})q^{4}+\cdots\)
3969.2.a.p	$3969$	$2$	3969.a	1.a	$1$	$3$	$3$	$31.693$	3.3.321.1	None	✓	$1$	$1$	\(1\)	\(0\)	\(-5\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(-2-\beta _{2})q^{5}+\cdots\)
3969.2.a.u	$3969$	$2$	3969.a	1.a	$1$	$4$	$4$	$31.693$	\(\Q(\sqrt{3}, \sqrt{7})\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{2}-\beta _{2}q^{4}+2\beta _{1}q^{5}+(\beta _{1}+\beta _{3})q^{8}+\cdots\)
3969.2.a.v	$3969$	$2$	3969.a	1.a	$1$	$4$	$4$	$31.693$	\(\Q(\sqrt{3}, \sqrt{7})\)	\(\Q(\sqrt{-7}) \)	✓	$4$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+\beta _{3}q^{2}-\beta _{2}q^{4}+(\beta _{1}+\beta _{3})q^{8}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
3969.2.a.bb	$3969$	$2$	3969.a	1.a	$1$	$5$	$5$	$31.693$	5.5.574857.1	None	✓	$1$	$1$	\(2\)	\(0\)	\(-4\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{4})q^{5}+\cdots\)
3969.2.a.bd	$3969$	$2$	3969.a	1.a	$1$	$6$	$6$	$31.693$	6.6.59351616.1	None	✓	$2$	$1$	\(-2\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$3$	$\mathrm{SU}(2)$	\(q-\beta _{2}q^{2}+(1+\beta _{2}+\beta _{4})q^{4}-\beta _{1}q^{5}+\cdots\)
3969.2.a.bf	$3969$	$2$	3969.a	1.a	$1$	$8$	$8$	$31.693$	8.8.\(\cdots\).1	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)