Newform search results

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

Results (4 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
144.12.a.c	$144$	$12$	144.a	1.a	$1$	$1$	$1$	$110.641$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-5280\)	\(49036\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-5280q^{5}+49036q^{7}+414336q^{11}+\cdots\)
144.12.a.i	$144$	$12$	144.a	1.a	$1$	$1$	$1$	$110.641$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(268\)		$-$	$+$	$-$	$1$	$N(\mathrm{U}(1))$	\(q+268q^{7}-134374q^{13}+4655368q^{19}+\cdots\)
144.12.a.k	$144$	$12$	144.a	1.a	$1$	$1$	$1$	$110.641$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(5280\)	\(49036\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+5280q^{5}+49036q^{7}-414336q^{11}+\cdots\)
144.12.a.r	$144$	$12$	144.a	1.a	$1$	$2$	$2$	$110.641$	\(\Q(\sqrt{70}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-116200\)		$-$	$+$	$-$	$2^{6}\cdot 3$	$\mathrm{SU}(2)$	\(q+7\beta q^{5}-58100q^{7}+10^{2}\beta q^{11}+\cdots\)