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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		13
169.4.a.b	$169$	$4$	169.a	1.a	$1$	$1$	$1$	$9.971$	\(\Q\)	None	✓	$1$	$1$	\(-3\)	\(-1\)	\(9\)	\(-15\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{2}-q^{3}+q^{4}+9q^{5}+3q^{6}-15q^{7}+\cdots\)
169.4.a.c	$169$	$4$	169.a	1.a	$1$	$1$	$1$	$9.971$	\(\Q\)	None	✓	$1$	$1$	\(3\)	\(-1\)	\(-9\)	\(15\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}-q^{3}+q^{4}-9q^{5}-3q^{6}+15q^{7}+\cdots\)
169.4.a.h	$169$	$4$	169.a	1.a	$1$	$2$	$2$	$9.971$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(-14\)	\(0\)	\(0\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+2\beta q^{2}-7q^{3}+4q^{4}+8\beta q^{5}-14\beta q^{6}+\cdots\)
169.4.a.i	$169$	$4$	169.a	1.a	$1$	$2$	$2$	$9.971$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(4\)	\(0\)	\(0\)		$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+2q^{3}-5q^{4}+\beta q^{5}+2\beta q^{6}+\cdots\)
169.4.a.k	$169$	$4$	169.a	1.a	$1$	$9$	$9$	$9.971$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(-5\)	\(1\)	\(-30\)	\(-38\)		$-$	$-$	$13^{2}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+\beta _{2}q^{3}+(5+\beta _{5}+\beta _{6}+\cdots)q^{4}+\cdots\)