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	Twist minimal	Largest	Maximal	Minimal twist	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	11
528.4.a.a	$528$	$4$	528.a	1.a	$1$	$1$	$1$	$31.153$	\(\Q\)	None	✓				33.4.a.a	$1$	$0$	\(0\)	\(-3\)	\(-14\)	\(32\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-14q^{5}+2^{5}q^{7}+9q^{9}+11q^{11}+\cdots\)
528.4.a.e	$528$	$4$	528.a	1.a	$1$	$1$	$1$	$31.153$	\(\Q\)	None	✓				132.4.a.d	$1$	$0$	\(0\)	\(-3\)	\(10\)	\(-8\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+10q^{5}-8q^{7}+9q^{9}+11q^{11}+\cdots\)
528.4.a.n	$528$	$4$	528.a	1.a	$1$	$2$	$2$	$31.153$	\(\Q(\sqrt{97}) \)	None	✓		✓		66.4.a.c	$1$	$0$	\(0\)	\(-6\)	\(10\)	\(2\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-3q^{3}+(5-\beta )q^{5}+(1-3\beta )q^{7}+9q^{9}+\cdots\)