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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7
147.4.a.c	$147$	$4$	147.a	1.a	$1$	$1$	$1$	$8.673$	\(\Q\)	None	✓	$1$	$0$	\(-3\)	\(3\)	\(18\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{2}+3q^{3}+q^{4}+18q^{5}-9q^{6}+\cdots\)
147.4.a.e	$147$	$4$	147.a	1.a	$1$	$1$	$1$	$8.673$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(3\)	\(-12\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+3q^{3}-7q^{4}-12q^{5}-3q^{6}+\cdots\)
147.4.a.g	$147$	$4$	147.a	1.a	$1$	$1$	$1$	$8.673$	\(\Q\)	None	✓	$1$	$0$	\(4\)	\(3\)	\(4\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+3q^{3}+8q^{4}+4q^{5}+12q^{6}+\cdots\)
147.4.a.h	$147$	$4$	147.a	1.a	$1$	$1$	$1$	$8.673$	\(\Q\)	None	✓	$1$	$0$	\(4\)	\(3\)	\(18\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+3q^{3}+8q^{4}+18q^{5}+12q^{6}+\cdots\)
147.4.a.m	$147$	$4$	147.a	1.a	$1$	$3$	$3$	$8.673$	3.3.57516.1	None	✓	$1$	$0$	\(1\)	\(9\)	\(-11\)	\(0\)		$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+3q^{3}+(8+\beta _{1}+\beta _{2})q^{4}+\cdots\)