Newform search results

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

Results (13 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.a	$8712$	$2$	8712.a	1.a	$1$	$1$	$1$	$69.566$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}+2q^{7}-6q^{17}-4q^{19}+6q^{23}+\cdots\)
8712.2.a.b	$8712$	$2$	8712.a	1.a	$1$	$1$	$1$	$69.566$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(-4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}-4q^{7}-3q^{13}+3q^{17}-4q^{19}+\cdots\)
8712.2.a.f	$8712$	$2$	8712.a	1.a	$1$	$1$	$1$	$69.566$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}-2q^{13}+6q^{17}-4q^{23}-q^{25}+\cdots\)
8712.2.a.l	$8712$	$2$	8712.a	1.a	$1$	$1$	$1$	$69.566$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{7}+6q^{13}-4q^{17}-q^{19}+2q^{23}+\cdots\)
8712.2.a.q	$8712$	$2$	8712.a	1.a	$1$	$1$	$1$	$69.566$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+q^{13}+3q^{17}-4q^{23}-4q^{25}+\cdots\)
8712.2.a.r	$8712$	$2$	8712.a	1.a	$1$	$1$	$1$	$69.566$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-4q^{7}-6q^{13}+6q^{17}+8q^{19}+\cdots\)
8712.2.a.x	$8712$	$2$	8712.a	1.a	$1$	$1$	$1$	$69.566$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(3\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}+2q^{7}-6q^{17}-4q^{19}-q^{23}+\cdots\)
8712.2.a.bc	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{5}+(3-2\beta )q^{7}+(-1+2\beta )q^{13}+\cdots\)
8712.2.a.bf	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(-3\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1-3\beta )q^{5}-3\beta q^{7}+(-2+2\beta )q^{13}+\cdots\)
8712.2.a.bj	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{5}+(-1-\beta )q^{7}+(-4+\beta )q^{13}+\cdots\)
8712.2.a.bm	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+(-1+\beta )q^{7}+(4-3\beta )q^{13}+\cdots\)
8712.2.a.bn	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+(1-2\beta )q^{7}+(-3+2\beta )q^{13}+\cdots\)
8712.2.a.bq	$8712$	$2$	8712.a	1.a	$1$	$2$	$2$	$69.566$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(1\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+(1-\beta )q^{7}+(2-\beta )q^{13}+(-4+\cdots)q^{17}+\cdots\)