Newform search results

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

Results (5 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.e	$912$	$4$	912.a	1.a	$1$	$1$	$1$	$53.810$	\(\Q\)	None	✓				114.4.a.a	$1$	$1$	\(0\)	\(3\)	\(-19\)	\(-9\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-19q^{5}-9q^{7}+9q^{9}+13q^{11}+\cdots\)
912.4.a.f	$912$	$4$	912.a	1.a	$1$	$1$	$1$	$53.810$	\(\Q\)	None	✓				114.4.a.d	$1$	$1$	\(0\)	\(3\)	\(-11\)	\(15\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-11q^{5}+15q^{7}+9q^{9}+29q^{11}+\cdots\)
912.4.a.g	$912$	$4$	912.a	1.a	$1$	$1$	$1$	$53.810$	\(\Q\)	None	✓				228.4.a.a	$1$	$1$	\(0\)	\(3\)	\(-7\)	\(-21\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-7q^{5}-21q^{7}+9q^{9}+37q^{11}+\cdots\)
912.4.a.h	$912$	$4$	912.a	1.a	$1$	$1$	$1$	$53.810$	\(\Q\)	None	✓				228.4.a.b	$1$	$1$	\(0\)	\(3\)	\(4\)	\(12\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+4q^{5}+12q^{7}+9q^{9}-40q^{11}+\cdots\)
912.4.a.n	$912$	$4$	912.a	1.a	$1$	$2$	$2$	$53.810$	\(\Q(\sqrt{33}) \)	None	✓		✓		57.4.a.b	$1$	$1$	\(0\)	\(6\)	\(22\)	\(-36\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+3q^{3}+(11-\beta )q^{5}+(-18+2\beta )q^{7}+\cdots\)