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

Results (6 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	43
688.6.a.b	$688$	$6$	688.a	1.a	$1$	$3$	$3$	$110.344$	3.3.146508.1	None	✓	$1$	$0$	\(0\)	\(28\)	\(-14\)	\(182\)		$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q+(9-\beta _{2})q^{3}+(-5+2\beta _{1}-3\beta _{2})q^{5}+\cdots\)
688.6.a.c	$688$	$6$	688.a	1.a	$1$	$5$	$5$	$110.344$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(1\)	\(61\)	\(-122\)		$-$	$+$	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+(12-2\beta _{1}-\beta _{2}-\beta _{3})q^{5}+\cdots\)
688.6.a.f	$688$	$6$	688.a	1.a	$1$	$8$	$8$	$110.344$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(26\)	\(-40\)	\(60\)		$-$	$+$	$-$	$2^{5}\cdot 3$	$\mathrm{SU}(2)$	\(q+(3+\beta _{1})q^{3}+(-5+\beta _{7})q^{5}+(8-\beta _{1}+\cdots)q^{7}+\cdots\)
688.6.a.h	$688$	$6$	688.a	1.a	$1$	$10$	$10$	$110.344$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(-28\)	\(138\)	\(-60\)		$-$	$+$	$-$	$2^{10}$	$\mathrm{SU}(2)$	\(q+(-3-\beta _{4})q^{3}+(14+\beta _{7})q^{5}+(-6+\cdots)q^{7}+\cdots\)
688.6.a.j	$688$	$6$	688.a	1.a	$1$	$13$	$13$	$110.344$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(18\)	\(-50\)	\(232\)		$+$	$-$	$-$	$2^{17}\cdot 3$	$\mathrm{SU}(2)$	\(q+(1+\beta _{1})q^{3}+(-4+\beta _{3})q^{5}+(18-\beta _{1}+\cdots)q^{7}+\cdots\)
688.6.a.l	$688$	$6$	688.a	1.a	$1$	$15$	$15$	$110.344$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(0\)	\(9\)	\(99\)	\(-96\)		$+$	$-$	$-$	$2^{23}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(7-\beta _{4})q^{5}+(-6-\beta _{2}+\cdots)q^{7}+\cdots\)