Newform search results

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

Results (5 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	7
350.10.a.b	$350$	$10$	350.a	1.a	$1$	$1$	$1$	$180.263$	\(\Q\)	None	✓	$1$	$0$	\(16\)	\(-120\)	\(0\)	\(-2401\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{4}q^{2}-120q^{3}+2^{8}q^{4}-1920q^{6}+\cdots\)
350.10.a.d	$350$	$10$	350.a	1.a	$1$	$1$	$1$	$180.263$	\(\Q\)	None	✓	$1$	$0$	\(16\)	\(87\)	\(0\)	\(-2401\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2^{4}q^{2}+87q^{3}+2^{8}q^{4}+1392q^{6}+\cdots\)
350.10.a.i	$350$	$10$	350.a	1.a	$1$	$2$	$2$	$180.263$	\(\Q(\sqrt{541}) \)	None	✓	$1$	$0$	\(32\)	\(-58\)	\(0\)	\(-4802\)		$-$	$+$	$+$	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+2^{4}q^{2}+(-29-\beta )q^{3}+2^{8}q^{4}+(-464+\cdots)q^{6}+\cdots\)
350.10.a.j	$350$	$10$	350.a	1.a	$1$	$2$	$2$	$180.263$	\(\Q(\sqrt{2305}) \)	None	✓	$1$	$0$	\(32\)	\(14\)	\(0\)	\(-4802\)		$-$	$+$	$+$	$-$	$2\cdot 5$	$\mathrm{SU}(2)$	\(q+2^{4}q^{2}+(7+\beta )q^{3}+2^{8}q^{4}+(112+\cdots)q^{6}+\cdots\)
350.10.a.p	$350$	$10$	350.a	1.a	$1$	$4$	$4$	$180.263$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(64\)	\(161\)	\(0\)	\(-9604\)		$-$	$+$	$+$	$-$	$2^{3}\cdot 3\cdot 5^{2}\cdot 37$	$\mathrm{SU}(2)$	\(q+2^{4}q^{2}+(40+\beta _{1})q^{3}+2^{8}q^{4}+(640+\cdots)q^{6}+\cdots\)