Newform search results

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

Results (5 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Minimal twist	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
48.12.a.a	$48$	$12$	48.a	1.a	$1$	$1$	$1$	$36.880$	\(\Q\)	None	✓		6.12.a.b	$1$	$1$	\(0\)	\(-243\)	\(-11730\)	\(50008\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3^{5}q^{3}-11730q^{5}+50008q^{7}+\cdots\)
48.12.a.c	$48$	$12$	48.a	1.a	$1$	$1$	$1$	$36.880$	\(\Q\)	None	✓		12.12.a.b	$1$	$1$	\(0\)	\(-243\)	\(2862\)	\(-9128\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3^{5}q^{3}+2862q^{5}-9128q^{7}+3^{10}q^{9}+\cdots\)
48.12.a.d	$48$	$12$	48.a	1.a	$1$	$1$	$1$	$36.880$	\(\Q\)	None	✓		6.12.a.c	$1$	$1$	\(0\)	\(-243\)	\(3630\)	\(-32936\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3^{5}q^{3}+3630q^{5}-32936q^{7}+3^{10}q^{9}+\cdots\)
48.12.a.e	$48$	$12$	48.a	1.a	$1$	$1$	$1$	$36.880$	\(\Q\)	None	✓		24.12.a.a	$1$	$1$	\(0\)	\(243\)	\(-7130\)	\(19536\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3^{5}q^{3}-7130q^{5}+19536q^{7}+3^{10}q^{9}+\cdots\)
48.12.a.g	$48$	$12$	48.a	1.a	$1$	$1$	$1$	$36.880$	\(\Q\)	None	✓		24.12.a.b	$1$	$1$	\(0\)	\(243\)	\(1190\)	\(-18480\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3^{5}q^{3}+1190q^{5}-18480q^{7}+3^{10}q^{9}+\cdots\)