Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

Results (displaying both 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
9.34.a.a	$9$	$34$	9.a	1.a	$1$	$1$	$1$	$62.085$	\(\Q\)	\(\Q(\sqrt{-3}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(15\!\cdots\!40\)		$+$	$+$	$1$	$N(\mathrm{U}(1))$	\(q-2^{33}q^{4}+1589751452540q^{7}+\cdots\)
9.34.a.e	$9$	$34$	9.a	1.a	$1$	$4$	$4$	$62.085$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-12\!\cdots\!40\)		$+$	$+$	$2^{14}\cdot 3^{14}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(8522196688+\beta _{3})q^{4}+\cdots\)