Newform search results

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

Results (10 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
784.6.a.k	$784$	$6$	784.a	1.a	$1$	$1$	$1$	$125.741$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(19\)	\(19\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+19q^{3}+19q^{5}+118q^{9}+559q^{11}+\cdots\)
784.6.a.o	$784$	$6$	784.a	1.a	$1$	$2$	$2$	$125.741$	\(\Q(\sqrt{109}) \)	None	✓	$1$	$0$	\(0\)	\(-28\)	\(42\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-14-\beta )q^{3}+(21+6\beta )q^{5}+(62+\cdots)q^{9}+\cdots\)
784.6.a.s	$784$	$6$	784.a	1.a	$1$	$2$	$2$	$125.741$	\(\Q(\sqrt{79}) \)	None	✓	$1$	$0$	\(0\)	\(-14\)	\(70\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-7+\beta )q^{3}+(35+4\beta )q^{5}+(122+\cdots)q^{9}+\cdots\)
784.6.a.w	$784$	$6$	784.a	1.a	$1$	$2$	$2$	$125.741$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3\beta q^{3}-46\beta q^{5}-15^{2}q^{9}-274q^{11}+\cdots\)
784.6.a.x	$784$	$6$	784.a	1.a	$1$	$2$	$2$	$125.741$	\(\Q(\sqrt{2}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+6\beta q^{3}+7\beta q^{5}-171q^{9}-308q^{11}+\cdots\)
784.6.a.ba	$784$	$6$	784.a	1.a	$1$	$2$	$2$	$125.741$	\(\Q(\sqrt{37}) \)	None	✓	$1$	$0$	\(0\)	\(8\)	\(-38\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(4+\beta )q^{3}+(-19-10\beta )q^{5}+(-190+\cdots)q^{9}+\cdots\)
784.6.a.bc	$784$	$6$	784.a	1.a	$1$	$2$	$2$	$125.741$	\(\Q(\sqrt{130}) \)	None	✓	$1$	$0$	\(0\)	\(14\)	\(-42\)	\(0\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(7+\beta )q^{3}-21q^{5}+(326+14\beta )q^{9}+\cdots\)
784.6.a.bf	$784$	$6$	784.a	1.a	$1$	$4$	$4$	$125.741$	\(\Q(\sqrt{2}, \sqrt{113})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2^{3}\cdot 7$	$\mathrm{SU}(2)$	\(q+(-\beta _{2}+\beta _{3})q^{3}+(-2\beta _{2}+4\beta _{3})q^{5}+\cdots\)
784.6.a.bg	$784$	$6$	784.a	1.a	$1$	$4$	$4$	$125.741$	\(\Q(\sqrt{2}, \sqrt{793})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{3})q^{3}+(-4\beta _{1}-3\beta _{3})q^{5}+\cdots\)
784.6.a.bi	$784$	$6$	784.a	1.a	$1$	$4$	$4$	$125.741$	\(\Q(\sqrt{2}, \sqrt{1177})\)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$2\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q+(\beta _{1}+\beta _{3})q^{3}+(8\beta _{1}+\beta _{3})q^{5}+(370+\cdots)q^{9}+\cdots\)