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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		3	43
387.8.a.b	$387$	$8$	387.a	1.a	$1$	$11$	$11$	$120.893$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(24\)	\(0\)	\(752\)	\(-12\)		$-$	$-$	$+$	$2^{6}\cdot 3^{4}\cdot 7$	$\mathrm{SU}(2)$	\(q+(2+\beta _{1})q^{2}+(54+3\beta _{1}+\beta _{2})q^{4}+\cdots\)
387.8.a.c	$387$	$8$	387.a	1.a	$1$	$12$	$12$	$120.893$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(7\)	\(0\)	\(766\)	\(-1366\)		$-$	$-$	$+$	$2^{6}\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(58+\beta _{2})q^{4}+(2^{6}-\beta _{1}+\cdots)q^{5}+\cdots\)
387.8.a.f	$387$	$8$	387.a	1.a	$1$	$15$	$15$	$120.893$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(-15\)	\(0\)	\(-378\)	\(2064\)		$-$	$-$	$+$	$2^{14}\cdot 3^{5}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(84-\beta _{1}+\beta _{2})q^{4}+\cdots\)
387.8.a.h	$387$	$8$	387.a	1.a	$1$	$26$	$26$	$120.893$		None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(698\)		$+$	$+$	$+$		$\mathrm{SU}(2)$