Newform search results

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

Results (7 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	5	7
2450.4.a.j	$2450$	$4$	2450.a	1.a	$1$	$1$	$1$	$144.555$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(-1\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-q^{3}+4q^{4}+2q^{6}-8q^{8}+\cdots\)
2450.4.a.q	$2450$	$4$	2450.a	1.a	$1$	$1$	$1$	$144.555$	\(\Q\)	None	✓	$1$	$0$	\(-2\)	\(5\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+5q^{3}+4q^{4}-10q^{6}-8q^{8}+\cdots\)
2450.4.a.cb	$2450$	$4$	2450.a	1.a	$1$	$3$	$3$	$144.555$	3.3.115880.1	None	✓	$1$	$0$	\(-6\)	\(-4\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$3$	$\mathrm{SU}(2)$	\(q-2q^{2}+(-1-\beta _{1})q^{3}+4q^{4}+(2+2\beta _{1}+\cdots)q^{6}+\cdots\)
2450.4.a.cj	$2450$	$4$	2450.a	1.a	$1$	$4$	$4$	$144.555$	\(\Q(\sqrt{2}, \sqrt{113})\)	None	✓	$1$	$0$	\(-8\)	\(-10\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$7$	$\mathrm{SU}(2)$	\(q-2q^{2}+(-3-\beta _{1})q^{3}+4q^{4}+(6+2\beta _{1}+\cdots)q^{6}+\cdots\)
2450.4.a.co	$2450$	$4$	2450.a	1.a	$1$	$4$	$4$	$144.555$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(-8\)	\(1\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$3^{2}$	$\mathrm{SU}(2)$	\(q-2q^{2}+\beta _{2}q^{3}+4q^{4}-2\beta _{2}q^{6}-8q^{8}+\cdots\)
2450.4.a.cp	$2450$	$4$	2450.a	1.a	$1$	$4$	$4$	$144.555$	\(\Q(\sqrt{2}, \sqrt{113})\)	None	✓	$1$	$0$	\(-8\)	\(10\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$7$	$\mathrm{SU}(2)$	\(q-2q^{2}+(2-\beta _{1})q^{3}+4q^{4}+(-4+2\beta _{1}+\cdots)q^{6}+\cdots\)
2450.4.a.cz	$2450$	$4$	2450.a	1.a	$1$	$8$	$8$	$144.555$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$2$	$0$	\(-16\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$2\cdot 7^{2}\cdot 11^{2}$	$\mathrm{SU}(2)$	\(q-2q^{2}-\beta _{3}q^{3}+4q^{4}+2\beta _{3}q^{6}-8q^{8}+\cdots\)