Newform search results

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

Results (10 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	3	11
8712.2.a.e	$8712$	$2$	8712.a	1.a	$1$	$1$	$1$	$69.566$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(-2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}-2q^{7}-6q^{17}+6q^{19}+4q^{23}+\cdots\)
8712.2.a.j	$8712$	$2$	8712.a	1.a	$1$	$1$	$1$	$69.566$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+4q^{7}+4q^{13}-4q^{17}-4q^{19}+\cdots\)
8712.2.a.t	$8712$	$2$	8712.a	1.a	$1$	$1$	$1$	$69.566$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(-2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-2q^{7}+4q^{13}+2q^{17}+2q^{19}+\cdots\)
8712.2.a.z	$8712$	$2$	8712.a	1.a	$1$	$1$	$1$	$69.566$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{5}+4q^{7}-6q^{13}+6q^{17}+6q^{19}+\cdots\)
8712.2.a.bd	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(-4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-2q^{7}+(-2-\beta )q^{13}+(2-\beta )q^{17}+\cdots\)
8712.2.a.bs	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{5}+(1+\beta )q^{7}+(1+2\beta )q^{13}+\cdots\)
8712.2.a.bu	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(5\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(3-\beta )q^{5}+(1+2\beta )q^{7}+(1-2\beta )q^{13}+\cdots\)
8712.2.a.bz	$8712$	$2$	8712.a	1.a	$1$	$4$	$4$	$69.566$	4.4.13625.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(-5\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{5}+(-2+\beta _{2}-2\beta _{3})q^{7}+(\beta _{1}+\cdots)q^{13}+\cdots\)
8712.2.a.cb	$8712$	$2$	8712.a	1.a	$1$	$4$	$4$	$69.566$	4.4.46224.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{5}+(1+\beta _{1}+\beta _{2}-\beta _{3})q^{7}+(3+\cdots)q^{13}+\cdots\)
8712.2.a.ce	$8712$	$2$	8712.a	1.a	$1$	$4$	$4$	$69.566$	4.4.5225.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1}+\beta _{3})q^{5}+(-\beta _{1}-\beta _{2}+\cdots)q^{7}+\cdots\)