Newform search results

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (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	7	17
1666.2.a.i	$1666$	$2$	1666.a	1.a	$1$	$1$	$1$	$13.303$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-2\)	\(0\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-2q^{3}+q^{4}-2q^{6}+q^{8}+q^{9}+\cdots\)
1666.2.a.m	$1666$	$2$	1666.a	1.a	$1$	$1$	$1$	$13.303$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(2\)	\(0\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{8}+q^{9}+\cdots\)
1666.2.a.n	$1666$	$2$	1666.a	1.a	$1$	$1$	$1$	$13.303$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(2\)	\(4\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}+q^{4}+4q^{5}+2q^{6}+q^{8}+\cdots\)
1666.2.a.o	$1666$	$2$	1666.a	1.a	$1$	$2$	$2$	$13.303$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-2\)	\(-2\)	\(-2\)	\(0\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1-\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
1666.2.a.q	$1666$	$2$	1666.a	1.a	$1$	$2$	$2$	$13.303$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(4\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta q^{3}+q^{4}+(2+\beta )q^{5}-\beta q^{6}+\cdots\)
1666.2.a.s	$1666$	$2$	1666.a	1.a	$1$	$2$	$2$	$13.303$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(2\)	\(2\)	\(2\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1+\beta )q^{3}+q^{4}+(1-\beta )q^{5}+\cdots\)
1666.2.a.t	$1666$	$2$	1666.a	1.a	$1$	$3$	$3$	$13.303$	3.3.404.1	None	✓	$1$	$0$	\(-3\)	\(0\)	\(-1\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(\beta _{1}-\beta _{2})q^{3}+q^{4}-\beta _{2}q^{5}+\cdots\)
1666.2.a.u	$1666$	$2$	1666.a	1.a	$1$	$3$	$3$	$13.303$	3.3.404.1	None	✓	$1$	$0$	\(-3\)	\(0\)	\(1\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-\beta _{1}+\beta _{2})q^{3}+q^{4}+\beta _{2}q^{5}+\cdots\)
1666.2.a.w	$1666$	$2$	1666.a	1.a	$1$	$4$	$4$	$13.303$	4.4.4352.1	None	✓	$1$	$0$	\(-4\)	\(0\)	\(4\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-\beta _{1}+\beta _{3})q^{3}+q^{4}+(1-\beta _{2}+\cdots)q^{5}+\cdots\)
1666.2.a.y	$1666$	$2$	1666.a	1.a	$1$	$4$	$4$	$13.303$	4.4.4352.1	None	✓	$1$	$0$	\(4\)	\(4\)	\(8\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1-\beta _{2}+\beta _{3})q^{3}+q^{4}+(2-\beta _{1}+\cdots)q^{5}+\cdots\)
1666.2.a.z	$1666$	$2$	1666.a	1.a	$1$	$5$	$5$	$13.303$	5.5.23949216.1	None	✓	$1$	$0$	\(5\)	\(0\)	\(-1\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{3}q^{5}-\beta _{1}q^{6}+\cdots\)
1666.2.a.ba	$1666$	$2$	1666.a	1.a	$1$	$5$	$5$	$13.303$	5.5.23949216.1	None	✓	$1$	$0$	\(5\)	\(0\)	\(1\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{3}q^{5}+\beta _{1}q^{6}+\cdots\)