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	17	59
4012.2.a.c	$4012$	$2$	4012.a	1.a	$1$	$1$	$1$	$32.036$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-3\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-3q^{5}+q^{7}-2q^{9}+2q^{11}+\cdots\)
4012.2.a.d	$4012$	$2$	4012.a	1.a	$1$	$2$	$2$	$32.036$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(3\)	\(-6\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2\beta q^{3}+(2-\beta )q^{5}-3q^{7}+(1+4\beta )q^{9}+\cdots\)
4012.2.a.e	$4012$	$2$	4012.a	1.a	$1$	$2$	$2$	$32.036$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{3}-q^{5}+\beta q^{7}+2q^{9}-2\beta q^{11}+\cdots\)
4012.2.a.g	$4012$	$2$	4012.a	1.a	$1$	$12$	$12$	$32.036$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(-4\)	\(3\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{9}q^{5}+(-\beta _{2}+\beta _{8}-\beta _{9}+\cdots)q^{7}+\cdots\)