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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	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
72.14.a.b	$72$	$14$	72.a	1.a	$1$	$1$	$1$	$77.206$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(22490\)	\(181272\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+22490q^{5}+181272q^{7}+9261428q^{11}+\cdots\)
72.14.a.c	$72$	$14$	72.a	1.a	$1$	$2$	$2$	$77.206$	\(\Q(\sqrt{781}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-18476\)	\(110928\)		$+$	$-$	$-$	$2^{7}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-9238-4\beta )q^{5}+(55464-74\beta )q^{7}+\cdots\)
72.14.a.f	$72$	$14$	72.a	1.a	$1$	$2$	$2$	$77.206$	\(\Q(\sqrt{406}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(30916\)	\(-532896\)		$+$	$-$	$-$	$2^{7}\cdot 3$	$\mathrm{SU}(2)$	\(q+(15458+7\beta )q^{5}+(-266448-37\beta )q^{7}+\cdots\)
72.14.a.h	$72$	$14$	72.a	1.a	$1$	$3$	$3$	$77.206$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(50256\)	\(14532\)		$-$	$+$	$-$	$2^{12}\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q+(16752-\beta _{2})q^{5}+(4844-\beta _{1}-3\beta _{2})q^{7}+\cdots\)