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	7	11
1078.4.a.e	$1078$	$4$	1078.a	1.a	$1$	$1$	$1$	$63.604$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(-7\)	\(-3\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-7q^{3}+4q^{4}-3q^{5}-14q^{6}+\cdots\)
1078.4.a.g	$1078$	$4$	1078.a	1.a	$1$	$1$	$1$	$63.604$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(2\)	\(-18\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+2q^{3}+4q^{4}-18q^{5}+4q^{6}+\cdots\)
1078.4.a.h	$1078$	$4$	1078.a	1.a	$1$	$1$	$1$	$63.604$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(10\)	\(14\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+10q^{3}+4q^{4}+14q^{5}+20q^{6}+\cdots\)
1078.4.a.o	$1078$	$4$	1078.a	1.a	$1$	$2$	$2$	$63.604$	\(\Q(\sqrt{57}) \)	None	✓	$1$	$0$	\(4\)	\(5\)	\(17\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+(3-\beta )q^{3}+4q^{4}+(7+3\beta )q^{5}+\cdots\)
1078.4.a.s	$1078$	$4$	1078.a	1.a	$1$	$4$	$4$	$63.604$	4.4.112260128.1	None	✓	$2$	$0$	\(8\)	\(0\)	\(0\)	\(0\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+2q^{2}+\beta _{1}q^{3}+4q^{4}+(\beta _{1}+\beta _{2})q^{5}+\cdots\)
1078.4.a.z	$1078$	$4$	1078.a	1.a	$1$	$5$	$5$	$63.604$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(10\)	\(7\)	\(10\)	\(0\)		$-$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+2q^{2}+(1-\beta _{3})q^{3}+4q^{4}+(2-\beta _{2}+\cdots)q^{5}+\cdots\)