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	Twist minimal	Largest	Maximal	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	19
912.4.a.a	$912$	$4$	912.a	1.a	$1$	$1$	$1$	$53.810$	\(\Q\)	None	✓				57.4.a.a	$1$	$0$	\(0\)	\(-3\)	\(-12\)	\(20\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-12q^{5}+20q^{7}+9q^{9}+4q^{11}+\cdots\)
912.4.a.b	$912$	$4$	912.a	1.a	$1$	$1$	$1$	$53.810$	\(\Q\)	None	✓				114.4.a.b	$1$	$0$	\(0\)	\(-3\)	\(-7\)	\(15\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-7q^{5}+15q^{7}+9q^{9}+7^{2}q^{11}+\cdots\)
912.4.a.j	$912$	$4$	912.a	1.a	$1$	$2$	$2$	$53.810$	\(\Q(\sqrt{273}) \)	None	✓				114.4.a.f	$1$	$0$	\(0\)	\(-6\)	\(11\)	\(-9\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+(6-\beta )q^{5}+(-4-\beta )q^{7}+9q^{9}+\cdots\)
912.4.a.o	$912$	$4$	912.a	1.a	$1$	$3$	$3$	$53.810$	3.3.226425.1	None	✓		✓		228.4.a.e	$1$	$0$	\(0\)	\(-9\)	\(31\)	\(-9\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-3q^{3}+(10+\beta _{1})q^{5}+(-3-\beta _{2})q^{7}+\cdots\)