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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	11	19
4598.2.a.bb	$4598$	$2$	4598.a	1.a	$1$	$2$	$2$	$36.715$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(2\)	\(-4\)	\(1\)	\(-3\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-2q^{3}+q^{4}+\beta q^{5}-2q^{6}-3\beta q^{7}+\cdots\)
4598.2.a.be	$4598$	$2$	4598.a	1.a	$1$	$2$	$2$	$36.715$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(2\)	\(-2\)	\(1\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-2\beta q^{3}+q^{4}+(-1+3\beta )q^{5}+\cdots\)
4598.2.a.bg	$4598$	$2$	4598.a	1.a	$1$	$2$	$2$	$36.715$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(2\)	\(-1\)	\(-1\)	\(1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-\beta q^{3}+q^{4}-\beta q^{5}-\beta q^{6}+(-1+\cdots)q^{7}+\cdots\)
4598.2.a.bh	$4598$	$2$	4598.a	1.a	$1$	$2$	$2$	$36.715$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-1\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}+(1-3\beta )q^{5}+(-1+\beta )q^{7}+\cdots\)
4598.2.a.bi	$4598$	$2$	4598.a	1.a	$1$	$2$	$2$	$36.715$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-1\)	\(-1\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1-2\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
4598.2.a.bt	$4598$	$2$	4598.a	1.a	$1$	$4$	$4$	$36.715$	4.4.7488.1	None	✓	$1$	$1$	\(4\)	\(-2\)	\(-2\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1-\beta _{3})q^{3}+q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)