Newform search results

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

Results (10 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.g	$144$	$12$	144.a	1.a	$1$	$1$	$1$	$110.641$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1870\)	\(72312\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-1870q^{5}+72312q^{7}+147940q^{11}+\cdots\)
144.12.a.h	$144$	$12$	144.a	1.a	$1$	$1$	$1$	$110.641$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1190\)	\(-18480\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-1190q^{5}-18480q^{7}+135884q^{11}+\cdots\)
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.j	$144$	$12$	144.a	1.a	$1$	$1$	$1$	$110.641$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(3490\)	\(55464\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3490q^{5}+55464q^{7}-597004q^{11}+\cdots\)
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.m	$144$	$12$	144.a	1.a	$1$	$1$	$1$	$110.641$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(7130\)	\(19536\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+7130q^{5}+19536q^{7}-196148q^{11}+\cdots\)
144.12.a.p	$144$	$12$	144.a	1.a	$1$	$2$	$2$	$110.641$	\(\Q(\sqrt{109}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-7868\)	\(-91056\)		$+$	$-$	$-$	$2^{7}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-3934-4\beta )q^{5}+(-45528+14\beta )q^{7}+\cdots\)
144.12.a.q	$144$	$12$	144.a	1.a	$1$	$2$	$2$	$110.641$	\(\Q(\sqrt{3061}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1564\)	\(-37776\)		$+$	$-$	$-$	$2^{7}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-782-\beta )q^{5}+(-18888+\beta )q^{7}+\cdots\)
144.12.a.r	$144$	$12$	144.a	1.a	$1$	$2$	$2$	$110.641$	\(\Q(\sqrt{70}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-116200\)		$-$	$+$	$-$	$2^{6}\cdot 3$	$\mathrm{SU}(2)$	\(q+7\beta q^{5}-58100q^{7}+10^{2}\beta q^{11}+\cdots\)