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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	5	13	31
6045.2.a.e	$6045$	$2$	6045.a	1.a	$1$	$1$	$1$	$48.270$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(1\)	\(-1\)	\(-5\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}-2q^{4}-q^{5}-5q^{7}+q^{9}+q^{11}+\cdots\)
6045.2.a.i	$6045$	$2$	6045.a	1.a	$1$	$1$	$1$	$48.270$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(1\)	\(-1\)	\(0\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}-3q^{8}+\cdots\)
6045.2.a.m	$6045$	$2$	6045.a	1.a	$1$	$2$	$2$	$48.270$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(-4\)	\(2\)	\(-2\)	\(-3\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+q^{3}+2q^{4}-q^{5}-2q^{6}+(-2+\cdots)q^{7}+\cdots\)
6045.2.a.y	$6045$	$2$	6045.a	1.a	$1$	$12$	$12$	$48.270$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-3\)	\(12\)	\(-12\)	\(2\)		$-$	$+$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-q^{5}-\beta _{1}q^{6}+\cdots\)