Newform search results

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

Results (11 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
294.6.a.d	$294$	$6$	294.a	1.a	$1$	$1$	$1$	$47.153$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(-9\)	\(86\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}+86q^{5}+6^{2}q^{6}+\cdots\)
294.6.a.e	$294$	$6$	294.a	1.a	$1$	$1$	$1$	$47.153$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(9\)	\(-86\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+9q^{3}+2^{4}q^{4}-86q^{5}-6^{2}q^{6}+\cdots\)
294.6.a.f	$294$	$6$	294.a	1.a	$1$	$1$	$1$	$47.153$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(9\)	\(-44\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+9q^{3}+2^{4}q^{4}-44q^{5}-6^{2}q^{6}+\cdots\)
294.6.a.g	$294$	$6$	294.a	1.a	$1$	$1$	$1$	$47.153$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(9\)	\(26\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+9q^{3}+2^{4}q^{4}+26q^{5}-6^{2}q^{6}+\cdots\)
294.6.a.h	$294$	$6$	294.a	1.a	$1$	$1$	$1$	$47.153$	\(\Q\)	None	✓	$1$	$1$	\(-4\)	\(9\)	\(54\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{2}+9q^{3}+2^{4}q^{4}+54q^{5}-6^{2}q^{6}+\cdots\)
294.6.a.i	$294$	$6$	294.a	1.a	$1$	$1$	$1$	$47.153$	\(\Q\)	None	✓	$1$	$1$	\(4\)	\(-9\)	\(-24\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}-9q^{3}+2^{4}q^{4}-24q^{5}-6^{2}q^{6}+\cdots\)
294.6.a.j	$294$	$6$	294.a	1.a	$1$	$1$	$1$	$47.153$	\(\Q\)	None	✓	$1$	$1$	\(4\)	\(-9\)	\(6\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}-9q^{3}+2^{4}q^{4}+6q^{5}-6^{2}q^{6}+\cdots\)
294.6.a.l	$294$	$6$	294.a	1.a	$1$	$1$	$1$	$47.153$	\(\Q\)	None	✓	$1$	$1$	\(4\)	\(9\)	\(-6\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+9q^{3}+2^{4}q^{4}-6q^{5}+6^{2}q^{6}+\cdots\)
294.6.a.n	$294$	$6$	294.a	1.a	$1$	$2$	$2$	$47.153$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-8\)	\(-18\)	\(-108\)	\(0\)		$+$	$+$	$+$	$+$	$7$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}+(-54+5\beta )q^{5}+\cdots\)
294.6.a.s	$294$	$6$	294.a	1.a	$1$	$2$	$2$	$47.153$	\(\Q(\sqrt{4705}) \)	None	✓	$1$	$1$	\(8\)	\(-18\)	\(-18\)	\(0\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+4q^{2}-9q^{3}+2^{4}q^{4}+(-9-\beta )q^{5}+\cdots\)
294.6.a.u	$294$	$6$	294.a	1.a	$1$	$2$	$2$	$47.153$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(8\)	\(18\)	\(-108\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+9q^{3}+2^{4}q^{4}+(-54+5\beta )q^{5}+\cdots\)