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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
507.4.a.g	$507$	$4$	507.a	1.a	$1$	$2$	$2$	$29.914$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$1$	\(0\)	\(-6\)	\(0\)	\(0\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-8q^{4}+3\beta q^{5}+6\beta q^{7}+9q^{9}+\cdots\)
507.4.a.j	$507$	$4$	507.a	1.a	$1$	$4$	$4$	$29.914$	4.4.5054412.1	None	✓	$2$	$1$	\(0\)	\(-12\)	\(0\)	\(0\)		$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-3q^{3}+(7+\beta _{3})q^{4}-\beta _{2}q^{5}+\cdots\)
507.4.a.k	$507$	$4$	507.a	1.a	$1$	$4$	$4$	$29.914$	\(\Q(\sqrt{3}, \sqrt{17})\)	None	✓	$2$	$1$	\(0\)	\(-12\)	\(0\)	\(0\)		$+$	$-$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{3}q^{2}-3q^{3}+9q^{4}+(3\beta _{1}-2\beta _{3})q^{5}+\cdots\)
507.4.a.n	$507$	$4$	507.a	1.a	$1$	$9$	$9$	$29.914$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(-8\)	\(-27\)	\(-41\)	\(-1\)		$+$	$-$	$-$	$13^{2}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}-3q^{3}+(3-2\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)