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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	11	19
4598.2.a.i	$4598$	$2$	4598.a	1.a	$1$	$1$	$1$	$36.715$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(2\)	\(-2\)	\(-4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}+q^{4}-2q^{5}-2q^{6}-4q^{7}+\cdots\)
4598.2.a.w	$4598$	$2$	4598.a	1.a	$1$	$2$	$2$	$36.715$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(-2\)	\(-2\)	\(2\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+(1+\beta )q^{5}+q^{6}+\cdots\)
4598.2.a.br	$4598$	$2$	4598.a	1.a	$1$	$4$	$4$	$36.715$	4.4.33452.1	None	✓	$1$	$0$	\(-4\)	\(1\)	\(3\)	\(1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}+(1+\beta _{2}+\beta _{3})q^{5}+\cdots\)
4598.2.a.bw	$4598$	$2$	4598.a	1.a	$1$	$8$	$8$	$36.715$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-8\)	\(-2\)	\(-2\)	\(14\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta _{1}q^{3}+q^{4}+(-\beta _{1}-\beta _{3}-\beta _{6}+\cdots)q^{5}+\cdots\)
4598.2.a.by	$4598$	$2$	4598.a	1.a	$1$	$8$	$8$	$36.715$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(-8\)	\(8\)	\(0\)	\(-4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(1+\beta _{6})q^{3}+q^{4}+(-\beta _{2}-\beta _{3}+\cdots)q^{5}+\cdots\)