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.k	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(5\)	\(-17\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+5q^{5}-17q^{7}+30q^{11}-61q^{13}+\cdots\)
2160.4.a.l	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(5\)	\(-14\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+5q^{5}-14q^{7}-3q^{11}+47q^{13}+\cdots\)
2160.4.a.r	$2160$	$4$	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.s	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(5\)	\(22\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+5q^{5}+22q^{7}-9q^{11}+17q^{13}+\cdots\)
2160.4.a.t	$2160$	$4$	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.bc	$2160$	$4$	2160.a	1.a	$1$	$2$	$2$	$127.444$	\(\Q(\sqrt{21}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(10\)	\(2\)		$-$	$+$	$-$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+5q^{5}+(1+\beta )q^{7}+(21-\beta )q^{11}+(-7+\cdots)q^{13}+\cdots\)
2160.4.a.bm	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.5637.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(15\)	\(-44\)		$-$	$+$	$-$	$+$	$2^{3}\cdot 3$	$\mathrm{SU}(2)$	\(q+5q^{5}+(-15-\beta _{1})q^{7}+(-12+\beta _{1}+\cdots)q^{11}+\cdots\)
2160.4.a.bq	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.1772.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(15\)	\(4\)		$-$	$+$	$-$	$+$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q+5q^{5}+(3\beta _{1}+\beta _{2})q^{7}+(-3+5\beta _{1}+\cdots)q^{11}+\cdots\)