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

Results (4 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
																		$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	7
63.12.a.c	$63$	$12$	63.a	1.a	$1$	$2$	$2$	$48.406$	\(\Q(\sqrt{3369}) \)	None	✓				7.12.a.a	$1$	$0$	\(54\)	\(0\)	\(13500\)	\(33614\)		$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(3^{3}-\beta )q^{2}+(2050-54\beta )q^{4}+(6750+\cdots)q^{5}+\cdots\)
63.12.a.e	$63$	$12$	63.a	1.a	$1$	$3$	$3$	$48.406$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓				21.12.a.d	$1$	$0$	\(33\)	\(0\)	\(-3102\)	\(50421\)		$-$	$-$	$+$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+(11+\beta _{2})q^{2}+(255+13\beta _{1}+4\beta _{2})q^{4}+\cdots\)
63.12.a.g	$63$	$12$	63.a	1.a	$1$	$4$	$4$	$48.406$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓		✓		21.12.a.e	$1$	$0$	\(-45\)	\(0\)	\(-13356\)	\(67228\)		$-$	$-$	$+$	$2^{2}\cdot 3^{2}\cdot 7$	$\mathrm{SU}(2)$	\(q+(-11-\beta _{1})q^{2}+(1196+18\beta _{1}+\beta _{3})q^{4}+\cdots\)
63.12.a.i	$63$	$12$	63.a	1.a	$1$	$6$	$6$	$48.406$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	✓	✓	✓	63.12.a.i	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-100842\)		$+$	$+$	$+$	$2^{5}\cdot 3^{8}\cdot 7$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(973+\beta _{4})q^{4}+(-19\beta _{1}+\cdots)q^{5}+\cdots\)