Newform search results

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

Results (3 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.x	$4598$	$2$	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.bq	$4598$	$2$	4598.a	1.a	$1$	$4$	$4$	$36.715$	4.4.7488.1	None	✓	$1$	$1$	\(-4\)	\(-2\)	\(-2\)	\(4\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+(-1-\beta _{3})q^{3}+q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
4598.2.a.cc	$4598$	$2$	4598.a	1.a	$1$	$10$	$10$	$36.715$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(-10\)	\(2\)	\(-3\)	\(-11\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{3}q^{5}-\beta _{1}q^{6}+\cdots\)