Newform search results

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

Results (14 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	5
400.6.a.b	$400$	$6$	400.a	1.a	$1$	$1$	$1$	$64.154$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-18\)	\(0\)	\(242\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-18q^{3}+242q^{7}+3^{4}q^{9}-656q^{11}+\cdots\)
400.6.a.c	$400$	$6$	400.a	1.a	$1$	$1$	$1$	$64.154$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-14\)	\(0\)	\(-158\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-14q^{3}-158q^{7}-47q^{9}+148q^{11}+\cdots\)
400.6.a.f	$400$	$6$	400.a	1.a	$1$	$1$	$1$	$64.154$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-8\)	\(0\)	\(-108\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-8q^{3}-108q^{7}-179q^{9}+604q^{11}+\cdots\)
400.6.a.h	$400$	$6$	400.a	1.a	$1$	$1$	$1$	$64.154$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(-62\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}-62q^{7}-239q^{9}+12^{2}q^{11}+\cdots\)
400.6.a.j	$400$	$6$	400.a	1.a	$1$	$1$	$1$	$64.154$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(11\)	\(0\)	\(142\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+11q^{3}+142q^{7}-122q^{9}-777q^{11}+\cdots\)
400.6.a.k	$400$	$6$	400.a	1.a	$1$	$1$	$1$	$64.154$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(14\)	\(0\)	\(158\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+14q^{3}+158q^{7}-47q^{9}+148q^{11}+\cdots\)
400.6.a.l	$400$	$6$	400.a	1.a	$1$	$1$	$1$	$64.154$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(20\)	\(0\)	\(-24\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+20q^{3}-24q^{7}+157q^{9}-124q^{11}+\cdots\)
400.6.a.o	$400$	$6$	400.a	1.a	$1$	$2$	$2$	$64.154$	\(\Q(\sqrt{241}) \)	None	✓	$1$	$1$	\(0\)	\(-20\)	\(0\)	\(-200\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-10-\beta )q^{3}+(-10^{2}-2\beta )q^{7}+\cdots\)
400.6.a.q	$400$	$6$	400.a	1.a	$1$	$2$	$2$	$64.154$	\(\Q(\sqrt{129}) \)	None	✓	$1$	$1$	\(0\)	\(-12\)	\(0\)	\(52\)		$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-6-\beta )q^{3}+(26-3\beta )q^{7}+(309+\cdots)q^{9}+\cdots\)
400.6.a.r	$400$	$6$	400.a	1.a	$1$	$2$	$2$	$64.154$	\(\Q(\sqrt{241}) \)	None	✓	$1$	$1$	\(0\)	\(-8\)	\(0\)	\(8\)		$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-4-\beta )q^{3}+(4+2\beta )q^{7}+(14+8\beta )q^{9}+\cdots\)
400.6.a.s	$400$	$6$	400.a	1.a	$1$	$2$	$2$	$64.154$	\(\Q(\sqrt{31}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-11\beta q^{7}-119q^{9}+10^{2}q^{11}+\cdots\)
400.6.a.t	$400$	$6$	400.a	1.a	$1$	$2$	$2$	$64.154$	\(\Q(\sqrt{11}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+3\beta q^{3}-9\beta q^{7}+153q^{9}-252q^{11}+\cdots\)
400.6.a.v	$400$	$6$	400.a	1.a	$1$	$2$	$2$	$64.154$	\(\Q(\sqrt{409}) \)	None	✓	$1$	$1$	\(0\)	\(20\)	\(0\)	\(-40\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(10-\beta )q^{3}+(-20+6\beta )q^{7}+(266+\cdots)q^{9}+\cdots\)
400.6.a.y	$400$	$6$	400.a	1.a	$1$	$3$	$3$	$64.154$	3.3.47217.1	None	✓	$1$	$1$	\(0\)	\(1\)	\(0\)	\(-70\)		$+$	$+$	$+$	$2^{4}\cdot 5$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+(-24+\beta _{1}+\beta _{2})q^{7}+(50+\cdots)q^{9}+\cdots\)