Newform search results

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

Results (15 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.b	$2450$	$4$	2450.a	1.a	$1$	$1$	$1$	$144.555$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-8\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-8q^{3}+4q^{4}+2^{4}q^{6}-8q^{8}+\cdots\)
2450.4.a.d	$2450$	$4$	2450.a	1.a	$1$	$1$	$1$	$144.555$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-5\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-5q^{3}+4q^{4}+10q^{6}-8q^{8}+\cdots\)
2450.4.a.e	$2450$	$4$	2450.a	1.a	$1$	$1$	$1$	$144.555$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-4\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-4q^{3}+4q^{4}+8q^{6}-8q^{8}+\cdots\)
2450.4.a.h	$2450$	$4$	2450.a	1.a	$1$	$1$	$1$	$144.555$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-2q^{3}+4q^{4}+4q^{6}-8q^{8}+\cdots\)
2450.4.a.i	$2450$	$4$	2450.a	1.a	$1$	$1$	$1$	$144.555$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-2q^{3}+4q^{4}+4q^{6}-8q^{8}+\cdots\)
2450.4.a.k	$2450$	$4$	2450.a	1.a	$1$	$1$	$1$	$144.555$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-1\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-q^{3}+4q^{4}+2q^{6}-8q^{8}+\cdots\)
2450.4.a.m	$2450$	$4$	2450.a	1.a	$1$	$1$	$1$	$144.555$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(1\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+q^{3}+4q^{4}-2q^{6}-8q^{8}+\cdots\)
2450.4.a.n	$2450$	$4$	2450.a	1.a	$1$	$1$	$1$	$144.555$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(1\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+q^{3}+4q^{4}-2q^{6}-8q^{8}+\cdots\)
2450.4.a.r	$2450$	$4$	2450.a	1.a	$1$	$1$	$1$	$144.555$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(5\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+5q^{3}+4q^{4}-10q^{6}-8q^{8}+\cdots\)
2450.4.a.s	$2450$	$4$	2450.a	1.a	$1$	$1$	$1$	$144.555$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(7\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+7q^{3}+4q^{4}-14q^{6}-8q^{8}+\cdots\)
2450.4.a.t	$2450$	$4$	2450.a	1.a	$1$	$1$	$1$	$144.555$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(7\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+7q^{3}+4q^{4}-14q^{6}-8q^{8}+\cdots\)
2450.4.a.br	$2450$	$4$	2450.a	1.a	$1$	$2$	$2$	$144.555$	\(\Q(\sqrt{7}) \)	None	✓	$2$	$1$	\(-4\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}+\beta q^{3}+4q^{4}-2\beta q^{6}-8q^{8}+\cdots\)
2450.4.a.bs	$2450$	$4$	2450.a	1.a	$1$	$2$	$2$	$144.555$	\(\Q(\sqrt{22}) \)	None	✓	$2$	$1$	\(-4\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}+\beta q^{3}+4q^{4}-2\beta q^{6}-8q^{8}+\cdots\)
2450.4.a.ce	$2450$	$4$	2450.a	1.a	$1$	$3$	$3$	$144.555$	3.3.115880.1	None	✓	$1$	$1$	\(-6\)	\(4\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$3$	$\mathrm{SU}(2)$	\(q-2q^{2}+(1+\beta _{1})q^{3}+4q^{4}+(-2-2\beta _{1}+\cdots)q^{6}+\cdots\)
2450.4.a.ck	$2450$	$4$	2450.a	1.a	$1$	$4$	$4$	$144.555$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$1$	\(-8\)	\(-1\)	\(0\)	\(0\)		$+$	$+$	$-$	$-$	$3^{2}$	$\mathrm{SU}(2)$	\(q-2q^{2}-\beta _{2}q^{3}+4q^{4}+2\beta _{2}q^{6}-8q^{8}+\cdots\)