Newform search results

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

Results (6 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.a	$507$	$4$	507.a	1.a	$1$	$1$	$1$	$29.914$	\(\Q\)	None	✓	$1$	$1$	\(-3\)	\(3\)	\(9\)	\(-2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{2}+3q^{3}+q^{4}+9q^{5}-9q^{6}+\cdots\)
507.4.a.b	$507$	$4$	507.a	1.a	$1$	$1$	$1$	$29.914$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(3\)	\(7\)	\(-10\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+3q^{3}-7q^{4}+7q^{5}-3q^{6}+\cdots\)
507.4.a.d	$507$	$4$	507.a	1.a	$1$	$1$	$1$	$29.914$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(3\)	\(-7\)	\(10\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+3q^{3}-7q^{4}-7q^{5}+3q^{6}+\cdots\)
507.4.a.e	$507$	$4$	507.a	1.a	$1$	$1$	$1$	$29.914$	\(\Q\)	None	✓	$1$	$1$	\(3\)	\(3\)	\(-9\)	\(2\)		$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{2}+3q^{3}+q^{4}-9q^{5}+9q^{6}+\cdots\)
507.4.a.h	$507$	$4$	507.a	1.a	$1$	$3$	$3$	$29.914$	3.3.3144.1	None	✓	$1$	$1$	\(-2\)	\(9\)	\(-4\)	\(-30\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+3q^{3}+(3+\beta _{2})q^{4}+\cdots\)
507.4.a.o	$507$	$4$	507.a	1.a	$1$	$9$	$9$	$29.914$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(-6\)	\(27\)	\(-33\)	\(-83\)		$-$	$+$	$-$	$13^{2}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{3})q^{2}+3q^{3}+(5+\beta _{3}+\beta _{5}+\cdots)q^{4}+\cdots\)