Newform search results

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

Results (5 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.c	$3969$	$2$	3969.a	1.a	$1$	$1$	$1$	$31.693$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(1\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}+q^{5}+3q^{8}-q^{10}-5q^{11}+\cdots\)
3969.2.a.bc	$3969$	$2$	3969.a	1.a	$1$	$5$	$5$	$31.693$	5.5.574857.1	None	✓	$1$	$0$	\(2\)	\(0\)	\(4\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1+\beta _{4})q^{5}+\cdots\)
3969.2.a.bg	$3969$	$2$	3969.a	1.a	$1$	$8$	$8$	$31.693$	8.8.\(\cdots\).1	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(\beta _{1}-\beta _{3})q^{5}+\cdots\)
3969.2.a.bi	$3969$	$2$	3969.a	1.a	$1$	$12$	$12$	$31.693$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$2$	$0$	\(4\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{2}q^{2}+(1+\beta _{8})q^{4}-\beta _{10}q^{5}+(1+\cdots)q^{8}+\cdots\)
3969.2.a.bj	$3969$	$2$	3969.a	1.a	$1$	$16$	$16$	$31.693$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q-\beta _{5}q^{2}+(2-\beta _{12})q^{4}+(\beta _{3}-\beta _{9})q^{5}+\cdots\)