Newform search results

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

Results (5 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.c	$507$	$4$	507.a	1.a	$1$	$1$	$1$	$29.914$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(12\)	\(-2\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-8q^{4}+12q^{5}-2q^{7}+9q^{9}+\cdots\)
507.4.a.f	$507$	$4$	507.a	1.a	$1$	$2$	$2$	$29.914$	\(\Q(\sqrt{14}) \)	None	✓	$1$	$0$	\(-2\)	\(-6\)	\(-24\)	\(0\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}-3q^{3}+(7-2\beta )q^{4}+\cdots\)
507.4.a.i	$507$	$4$	507.a	1.a	$1$	$4$	$4$	$29.914$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(-2\)	\(-12\)	\(6\)	\(14\)		$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-3q^{3}+(5+\beta _{1}+\beta _{2})q^{4}+\cdots\)
507.4.a.m	$507$	$4$	507.a	1.a	$1$	$4$	$4$	$29.914$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(2\)	\(-12\)	\(-6\)	\(-14\)		$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-3q^{3}+(5+\beta _{1}+\beta _{2})q^{4}+\cdots\)
507.4.a.q	$507$	$4$	507.a	1.a	$1$	$9$	$9$	$29.914$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(8\)	\(-27\)	\(41\)	\(1\)		$+$	$+$	$+$	$13^{2}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}-3q^{3}+(3-2\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)