Newform search results

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

Results (displaying both matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Twist minimal	Minimal twist	Inner twists	Rank*	Traces					A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	19
57.8.a.a	$57$	$8$	57.a	1.a	$1$	$4$	$4$	$17.806$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	✓	57.8.a.a	$1$	$1$	\(-7\)	\(108\)	\(32\)	\(-2074\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{1})q^{2}+3^{3}q^{3}+(22-8\beta _{1}+\cdots)q^{4}+\cdots\)
57.8.a.c	$57$	$8$	57.a	1.a	$1$	$6$	$6$	$17.806$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	✓	57.8.a.c	$1$	$1$	\(-15\)	\(-162\)	\(-921\)	\(-855\)		$+$	$-$	$-$	$2^{2}\cdot 3^{3}$	$\mathrm{SU}(2)$	\(q+(-3+\beta _{1})q^{2}-3^{3}q^{3}+(113+\beta _{1}+\cdots)q^{4}+\cdots\)