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.a	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(-17\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}-17q^{7}-30q^{11}-61q^{13}+\cdots\)
2160.4.a.b	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(-14\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}-14q^{7}+3q^{11}+47q^{13}+\cdots\)
2160.4.a.c	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(-8\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}-8q^{7}+18q^{11}+8q^{13}-15q^{17}+\cdots\)
2160.4.a.d	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}+10q^{11}-80q^{13}-7q^{17}+\cdots\)
2160.4.a.e	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}+4q^{7}-42q^{11}+20q^{13}+\cdots\)
2160.4.a.h	$2160$	$4$	2160.a	1.a	$1$	$1$	$1$	$127.444$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5\)	\(22\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5q^{5}+22q^{7}+9q^{11}+17q^{13}+\cdots\)
2160.4.a.v	$2160$	$4$	2160.a	1.a	$1$	$2$	$2$	$127.444$	\(\Q(\sqrt{69}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-10\)	\(-10\)		$-$	$+$	$+$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-5q^{5}+(-5-\beta )q^{7}+(9-\beta )q^{11}+\cdots\)
2160.4.a.bi	$2160$	$4$	2160.a	1.a	$1$	$3$	$3$	$127.444$	3.3.1772.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(-15\)	\(4\)		$-$	$+$	$+$	$-$	$2^{2}\cdot 3$	$\mathrm{SU}(2)$	\(q-5q^{5}+(3\beta _{1}+\beta _{2})q^{7}+(3-5\beta _{1}+\beta _{2})q^{11}+\cdots\)