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	3	7	11
1386.4.a.f	$1386$	$4$	1386.a	1.a	$1$	$1$	$1$	$81.777$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(13\)	\(-7\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+13q^{5}-7q^{7}-8q^{8}+\cdots\)
1386.4.a.q	$1386$	$4$	1386.a	1.a	$1$	$2$	$2$	$81.777$	\(\Q(\sqrt{817}) \)	None	✓	$1$	$1$	\(-4\)	\(0\)	\(3\)	\(-14\)		$+$	$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(1+\beta )q^{5}-7q^{7}-8q^{8}+\cdots\)
1386.4.a.bc	$1386$	$4$	1386.a	1.a	$1$	$3$	$3$	$81.777$	3.3.7636.1	None	✓	$1$	$1$	\(-6\)	\(0\)	\(-26\)	\(-21\)		$+$	$-$	$+$	$+$	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q-2q^{2}+4q^{4}+(-9+\beta _{2})q^{5}-7q^{7}+\cdots\)