Newform search results

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

Results (8 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	7
504.4.a.a	$504$	$4$	504.a	1.a	$1$	$1$	$1$	$29.737$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-8\)	\(-7\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-8q^{5}-7q^{7}-56q^{11}-28q^{13}+\cdots\)
504.4.a.e	$504$	$4$	504.a	1.a	$1$	$1$	$1$	$29.737$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(10\)	\(-7\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+10q^{5}-7q^{7}+52q^{11}-10q^{13}+\cdots\)
504.4.a.f	$504$	$4$	504.a	1.a	$1$	$1$	$1$	$29.737$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(10\)	\(7\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+10q^{5}+7q^{7}+12q^{11}+30q^{13}+\cdots\)
504.4.a.h	$504$	$4$	504.a	1.a	$1$	$1$	$1$	$29.737$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(16\)	\(7\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2^{4}q^{5}+7q^{7}+18q^{11}-54q^{13}+\cdots\)
504.4.a.i	$504$	$4$	504.a	1.a	$1$	$2$	$2$	$29.737$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-22\)	\(14\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-11-\beta )q^{5}+7q^{7}+(-18-6\beta )q^{11}+\cdots\)
504.4.a.k	$504$	$4$	504.a	1.a	$1$	$2$	$2$	$29.737$	\(\Q(\sqrt{22}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-12\)	\(-14\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-6+\beta )q^{5}-7q^{7}+(-2-\beta )q^{11}+\cdots\)
504.4.a.m	$504$	$4$	504.a	1.a	$1$	$2$	$2$	$29.737$	\(\Q(\sqrt{30}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(14\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(2+\beta )q^{5}+7q^{7}+(18-3\beta )q^{11}+\cdots\)
504.4.a.n	$504$	$4$	504.a	1.a	$1$	$2$	$2$	$29.737$	\(\Q(\sqrt{337}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(6\)	\(-14\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(3+\beta )q^{5}-7q^{7}+(-13-\beta )q^{11}+\cdots\)