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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
72.12.a.b	$72$	$12$	72.a	1.a	$1$	$1$	$1$	$55.321$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1190\)	\(18480\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-1190q^{5}+18480q^{7}-135884q^{11}+\cdots\)
72.12.a.c	$72$	$12$	72.a	1.a	$1$	$1$	$1$	$55.321$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(3490\)	\(-55464\)		$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3490q^{5}-55464q^{7}+597004q^{11}+\cdots\)
72.12.a.f	$72$	$12$	72.a	1.a	$1$	$2$	$2$	$55.321$	\(\Q(\sqrt{3061}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1564\)	\(37776\)		$+$	$-$	$-$	$2^{7}\cdot 3$	$\mathrm{SU}(2)$	\(q+(-782-\beta )q^{5}+(18888-\beta )q^{7}+\cdots\)
72.12.a.h	$72$	$12$	72.a	1.a	$1$	$3$	$3$	$55.321$	\(\mathbb{Q}[x]/(x^{3} - \cdots)\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1584\)	\(-17796\)		$-$	$+$	$-$	$2^{12}\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q+(528+\beta _{1})q^{5}+(-5932-\beta _{1}-\beta _{2})q^{7}+\cdots\)