Newform search results

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

Results (displaying both 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.w	$1078$	$4$	1078.a	1.a	$1$	$5$	$5$	$63.604$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(-10\)	\(7\)	\(20\)	\(0\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q-2q^{2}+(1+\beta _{1})q^{3}+4q^{4}+(4+\beta _{3}+\cdots)q^{5}+\cdots\)
1078.4.a.bc	$1078$	$4$	1078.a	1.a	$1$	$8$	$8$	$63.604$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$2$	$0$	\(-16\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$2^{7}\cdot 7^{2}$	$\mathrm{SU}(2)$	\(q-2q^{2}+\beta _{5}q^{3}+4q^{4}+(-\beta _{3}+\beta _{6}+\cdots)q^{5}+\cdots\)