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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	241
2169.2.a.b	$2169$	$2$	2169.a	1.a	$1$	$1$	$1$	$17.320$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(2\)	\(0\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+2q^{5}-3q^{8}+2q^{10}+\cdots\)
2169.2.a.c	$2169$	$2$	2169.a	1.a	$1$	$2$	$2$	$17.320$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-4\)	\(2\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}-2q^{5}+(1+\beta )q^{7}+3q^{8}+\cdots\)
2169.2.a.e	$2169$	$2$	2169.a	1.a	$1$	$7$	$7$	$17.320$	7.7.31056073.1	None	✓	$1$	$0$	\(4\)	\(0\)	\(8\)	\(-7\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-\beta _{1}+\beta _{2}-\beta _{3})q^{4}+\cdots\)
2169.2.a.g	$2169$	$2$	2169.a	1.a	$1$	$10$	$10$	$17.320$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(0\)	\(10\)	\(3\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{9}q^{2}+(1+\beta _{7}-\beta _{9})q^{4}+(\beta _{2}+\beta _{3}+\cdots)q^{5}+\cdots\)
2169.2.a.i	$2169$	$2$	2169.a	1.a	$1$	$13$	$13$	$17.320$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(0\)	\(-6\)	\(9\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}-\beta _{7}q^{5}+(1+\beta _{11}+\cdots)q^{7}+\cdots\)