Newform search results

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

Results (8 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	5
2160.4.a.f	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-5\)	\(6\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}+6q^{7}-47q^{11}-5q^{13}+131q^{17}+\cdots\)
2160.4.a.g	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-5\)	\(13\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}+13q^{7}+30q^{11}-61q^{13}+\cdots\)
2160.4.a.i	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-5\)	\(22\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}+22q^{7}+12q^{11}+38q^{13}+\cdots\)
2160.4.a.j	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-5\)	\(34\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}+34q^{7}-48q^{11}-70q^{13}+\cdots\)
2160.4.a.u	$2160$	$4$	2160.a	1.a	$1$	$2$	$2$	$127.444$	\(\Q(\sqrt{41}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-10\)	\(-13\)		$-$	$-$	$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q-5q^{5}+(-7-\beta )q^{7}+(10+5\beta )q^{11}+\cdots\)
2160.4.a.w	$2160$	$4$	2160.a	1.a	$1$	$2$	$2$	$127.444$	\(\Q(\sqrt{401}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-10\)	\(-1\)		$-$	$-$	$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q-5q^{5}+(-1-\beta )q^{7}+(2^{4}-\beta )q^{11}+\cdots\)
2160.4.a.x	$2160$	$4$	2160.a	1.a	$1$	$2$	$2$	$127.444$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-10\)	\(2\)		$-$	$-$	$+$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-5q^{5}+(1+\beta )q^{7}+(-21+\beta )q^{11}+\cdots\)
2160.4.a.be	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.5637.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-15\)	\(-44\)		$-$	$-$	$+$	$+$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q-5q^{5}+(-15-\beta _{1})q^{7}+(12-\beta _{1}+\cdots)q^{11}+\cdots\)