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	13	17
8619.2.a.p	$8619$	$2$	8619.a	1.a	$1$	$2$	$2$	$68.823$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(-2\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}-\beta q^{5}-2\beta q^{7}+q^{9}+\cdots\)
8619.2.a.bb	$8619$	$2$	8619.a	1.a	$1$	$6$	$6$	$68.823$	6.6.31337472.1	None	✓	$2$	$1$	\(0\)	\(-6\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-q^{3}+\beta _{2}q^{4}+(\beta _{1}-\beta _{5})q^{5}+\cdots\)
8619.2.a.bm	$8619$	$2$	8619.a	1.a	$1$	$12$	$12$	$68.823$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(-12\)	\(0\)	\(0\)		$+$	$-$	$-$	$+$	$3$	$\mathrm{SU}(2)$	\(q+\beta _{7}q^{2}-q^{3}+(1-\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
8619.2.a.bu	$8619$	$2$	8619.a	1.a	$1$	$24$	$24$	$68.823$		None	✓	$1$	$1$	\(-1\)	\(-24\)	\(-11\)	\(-2\)		$+$	$-$	$-$	$+$		$\mathrm{SU}(2)$