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	7	11
1078.4.a.a	$1078$	$4$	1078.a	1.a	$1$	$1$	$1$	$63.604$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(-4\)	\(-14\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-4q^{3}+4q^{4}-14q^{5}+8q^{6}+\cdots\)
1078.4.a.c	$1078$	$4$	1078.a	1.a	$1$	$1$	$1$	$63.604$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(5\)	\(1\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+5q^{3}+4q^{4}+q^{5}-10q^{6}+\cdots\)
1078.4.a.j	$1078$	$4$	1078.a	1.a	$1$	$2$	$2$	$63.604$	\(\Q(\sqrt{137}) \)	None	✓	$1$	$1$	\(-4\)	\(5\)	\(7\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+(3-\beta )q^{3}+4q^{4}+(3+\beta )q^{5}+\cdots\)
1078.4.a.r	$1078$	$4$	1078.a	1.a	$1$	$4$	$4$	$63.604$	\(\Q(\sqrt{39}, \sqrt{127})\)	None	✓	$2$	$1$	\(-8\)	\(0\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}+\beta _{1}q^{3}+4q^{4}-\beta _{2}q^{5}-2\beta _{1}q^{6}+\cdots\)
1078.4.a.t	$1078$	$4$	1078.a	1.a	$1$	$5$	$5$	$63.604$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(-10\)	\(-7\)	\(-20\)	\(0\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}+(-1-\beta _{1})q^{3}+4q^{4}+(-4+\cdots)q^{5}+\cdots\)