Newform search results

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

Results (15 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	5
450.6.a.c	$450$	$6$	450.a	1.a	$1$	$1$	$1$	$72.173$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(0\)	\(-158\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+2^{4}q^{4}-158q^{7}-2^{6}q^{8}+\cdots\)
450.6.a.d	$450$	$6$	450.a	1.a	$1$	$1$	$1$	$72.173$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(0\)	\(-98\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+2^{4}q^{4}-98q^{7}-2^{6}q^{8}+354q^{11}+\cdots\)
450.6.a.e	$450$	$6$	450.a	1.a	$1$	$1$	$1$	$72.173$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(0\)	\(-79\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+2^{4}q^{4}-79q^{7}-2^{6}q^{8}-150q^{11}+\cdots\)
450.6.a.f	$450$	$6$	450.a	1.a	$1$	$1$	$1$	$72.173$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(0\)	\(-4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+2^{4}q^{4}-4q^{7}-2^{6}q^{8}+500q^{11}+\cdots\)
450.6.a.i	$450$	$6$	450.a	1.a	$1$	$1$	$1$	$72.173$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(0\)	\(47\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+2^{4}q^{4}+47q^{7}-2^{6}q^{8}-222q^{11}+\cdots\)
450.6.a.k	$450$	$6$	450.a	1.a	$1$	$1$	$1$	$72.173$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(0\)	\(148\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+2^{4}q^{4}+148q^{7}-2^{6}q^{8}+\cdots\)
450.6.a.m	$450$	$6$	450.a	1.a	$1$	$1$	$1$	$72.173$	\(\Q\)	None	✓	$1$	$1$	\(4\)	\(0\)	\(0\)	\(-176\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+2^{4}q^{4}-176q^{7}+2^{6}q^{8}+\cdots\)
450.6.a.p	$450$	$6$	450.a	1.a	$1$	$1$	$1$	$72.173$	\(\Q\)	None	✓	$1$	$1$	\(4\)	\(0\)	\(0\)	\(-47\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+2^{4}q^{4}-47q^{7}+2^{6}q^{8}-222q^{11}+\cdots\)
450.6.a.q	$450$	$6$	450.a	1.a	$1$	$1$	$1$	$72.173$	\(\Q\)	None	✓	$1$	$1$	\(4\)	\(0\)	\(0\)	\(-32\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+2^{4}q^{4}-2^{5}q^{7}+2^{6}q^{8}-12q^{11}+\cdots\)
450.6.a.t	$450$	$6$	450.a	1.a	$1$	$1$	$1$	$72.173$	\(\Q\)	None	✓	$1$	$1$	\(4\)	\(0\)	\(0\)	\(79\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+2^{4}q^{4}+79q^{7}+2^{6}q^{8}-150q^{11}+\cdots\)
450.6.a.u	$450$	$6$	450.a	1.a	$1$	$1$	$1$	$72.173$	\(\Q\)	None	✓	$1$	$1$	\(4\)	\(0\)	\(0\)	\(118\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+2^{4}q^{4}+118q^{7}+2^{6}q^{8}+\cdots\)
450.6.a.y	$450$	$6$	450.a	1.a	$1$	$2$	$2$	$72.173$	\(\Q(\sqrt{4081}) \)	None	✓	$1$	$1$	\(-8\)	\(0\)	\(0\)	\(-100\)		$+$	$+$	$+$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-4q^{2}+2^{4}q^{4}+(-50-\beta )q^{7}-2^{6}q^{8}+\cdots\)
450.6.a.bb	$450$	$6$	450.a	1.a	$1$	$2$	$2$	$72.173$	\(\Q(\sqrt{1249}) \)	None	✓	$1$	$1$	\(-8\)	\(0\)	\(0\)	\(114\)		$+$	$-$	$-$	$+$	$2\cdot 5$	$\mathrm{SU}(2)$	\(q-4q^{2}+2^{4}q^{4}+(57-\beta )q^{7}-2^{6}q^{8}+\cdots\)
450.6.a.be	$450$	$6$	450.a	1.a	$1$	$2$	$2$	$72.173$	\(\Q(\sqrt{19}) \)	None	✓	$2$	$1$	\(8\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+4q^{2}+2^{4}q^{4}+\beta q^{7}+2^{6}q^{8}-37\beta q^{11}+\cdots\)
450.6.a.bf	$450$	$6$	450.a	1.a	$1$	$2$	$2$	$72.173$	\(\Q(\sqrt{4081}) \)	None	✓	$1$	$1$	\(8\)	\(0\)	\(0\)	\(100\)		$-$	$+$	$-$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+4q^{2}+2^{4}q^{4}+(50-\beta )q^{7}+2^{6}q^{8}+\cdots\)