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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		19
361.2.a.a	$361$	$2$	361.a	1.a	$1$	$1$	$1$	$2.883$	\(\Q\)	\(\Q(\sqrt{-19}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(-1\)	\(3\)		$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-2q^{4}-q^{5}+3q^{7}-3q^{9}-5q^{11}+\cdots\)
361.2.a.g	$361$	$2$	361.a	1.a	$1$	$3$	$3$	$2.883$	\(\Q(\zeta_{18})^+\)	None	✓	$1$	$1$	\(-3\)	\(-3\)	\(-3\)	\(0\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(-1+\beta _{2})q^{3}+(1+\cdots)q^{4}+\cdots\)
361.2.a.i	$361$	$2$	361.a	1.a	$1$	$4$	$4$	$2.883$	\(\Q(\zeta_{20})^+\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(-4\)	\(-8\)		$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{1}q^{3}+(1+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots\)