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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	13
8112.2.a.c	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(-3\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}+2q^{7}+q^{9}+6q^{11}+\cdots\)
8112.2.a.i	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(0\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+2q^{7}+q^{9}-6q^{17}+2q^{19}+\cdots\)
8112.2.a.m	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-1\)	\(3\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+3q^{5}-2q^{7}+q^{9}-6q^{11}+\cdots\)
8112.2.a.bk	$8112$	$2$	8112.a	1.a	$1$	$2$	$2$	$64.775$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(-3\)	\(3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(-1-\beta )q^{5}+(2-\beta )q^{7}+q^{9}+\cdots\)
8112.2.a.bm	$8112$	$2$	8112.a	1.a	$1$	$2$	$2$	$64.775$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta q^{5}+\beta q^{7}+q^{9}-2q^{11}+\cdots\)
8112.2.a.bo	$8112$	$2$	8112.a	1.a	$1$	$2$	$2$	$64.775$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(-2\)	\(3\)	\(-3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(1+\beta )q^{5}+(-2+\beta )q^{7}+q^{9}+\cdots\)
8112.2.a.cd	$8112$	$2$	8112.a	1.a	$1$	$3$	$3$	$64.775$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(0\)	\(6\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(1-2\beta _{1}+\beta _{2})q^{5}+(3-2\beta _{1}+\cdots)q^{7}+\cdots\)
8112.2.a.ce	$8112$	$2$	8112.a	1.a	$1$	$3$	$3$	$64.775$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(3\)	\(3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(1+\beta _{1}+\beta _{2})q^{5}+(\beta _{1}-2\beta _{2})q^{7}+\cdots\)
8112.2.a.cf	$8112$	$2$	8112.a	1.a	$1$	$3$	$3$	$64.775$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(4\)	\(-10\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(1+\beta _{1})q^{5}+(-3-\beta _{1})q^{7}+\cdots\)