Newform search results

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

Results (12 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.q	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-4\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-4q^{5}+q^{9}-2q^{11}-4q^{15}+\cdots\)
8112.2.a.r	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-3\)	\(-4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-3q^{5}-4q^{7}+q^{9}+4q^{11}+\cdots\)
8112.2.a.t	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(-2\)	\(-1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{5}-q^{7}+q^{9}+6q^{11}-2q^{15}+\cdots\)
8112.2.a.y	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(-4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-4q^{7}+q^{9}-2q^{11}-6q^{17}+\cdots\)
8112.2.a.be	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(2\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}+q^{9}+4q^{11}+2q^{15}+\cdots\)
8112.2.a.bf	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(2\)	\(1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}+q^{7}+q^{9}-6q^{11}+2q^{15}+\cdots\)
8112.2.a.bg	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(2\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+2q^{5}+4q^{7}+q^{9}+2q^{15}+\cdots\)
8112.2.a.bh	$8112$	$2$	8112.a	1.a	$1$	$1$	$1$	$64.775$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(3\)	\(4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+3q^{5}+4q^{7}+q^{9}-4q^{11}+\cdots\)
8112.2.a.ck	$8112$	$2$	8112.a	1.a	$1$	$3$	$3$	$64.775$	3.3.837.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(-3\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}-\beta _{2}q^{5}+(-1+\beta _{1})q^{7}+q^{9}+\cdots\)
8112.2.a.cl	$8112$	$2$	8112.a	1.a	$1$	$3$	$3$	$64.775$	3.3.837.1	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(3\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{3}+\beta _{2}q^{5}+(1-\beta _{1})q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
8112.2.a.cn	$8112$	$2$	8112.a	1.a	$1$	$3$	$3$	$64.775$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(2\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(1-\beta _{1})q^{5}+(1-\beta _{1}+2\beta _{2})q^{7}+\cdots\)
8112.2.a.cv	$8112$	$2$	8112.a	1.a	$1$	$6$	$6$	$64.775$	6.6.27700337.1	None	✓	$1$	$0$	\(0\)	\(6\)	\(-1\)	\(7\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-\beta _{5}q^{5}+(1+\beta _{1})q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)