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	5
900.4.a.a	$900$	$4$	900.a	1.a	$1$	$1$	$1$	$53.102$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-37\)		$-$	$+$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-37q^{7}+89q^{13}-163q^{19}-17^{2}q^{31}+\cdots\)
900.4.a.n	$900$	$4$	900.a	1.a	$1$	$1$	$1$	$53.102$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(17\)		$-$	$+$	$-$	$+$	$1$	$N(\mathrm{U}(1))$	\(q+17q^{7}-19q^{13}+107q^{19}-19q^{31}+\cdots\)
900.4.a.t	$900$	$4$	900.a	1.a	$1$	$4$	$4$	$53.102$	\(\Q(\sqrt{10}, \sqrt{34})\)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$-$	$+$	$-$	$+$	$2^{7}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{7}+\beta _{2}q^{11}+3\beta _{1}q^{13}-\beta _{3}q^{17}+\cdots\)