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Results (7 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
571.1.b.a	$571$	$1$	571.b	571.b	$2$	$2$	$2$	$0.285$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-571}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}+(-1+\beta )q^{5}+q^{9}-\beta q^{11}+\cdots\)
2284.1.c.a	$2284$	$1$	2284.c	571.b	$2$	$1$	$1$	$1.140$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-571}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+2q^{5}+q^{9}-q^{11}-q^{13}+2q^{23}+\cdots\)
2284.1.c.c	$2284$	$1$	2284.c	571.b	$2$	$4$	$4$	$1.140$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-571}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+\beta _{3}q^{5}+q^{9}+\beta _{1}q^{11}+(1-\beta _{1}+\beta _{3})q^{13}+\cdots\)
2855.1.d.b	$2855$	$1$	2855.d	2855.d	$2$	$1$	$1$	$1.425$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-571}) \), \(\Q(\sqrt{-2855}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{4}-q^{5}-q^{9}-2q^{11}+q^{16}+q^{20}+\cdots\)
2855.1.d.h	$2855$	$1$	2855.d	2855.d	$2$	$4$	$4$	$1.425$	\(\Q(\zeta_{10})\)	$D_{10}$	\(\Q(\sqrt{-571}) \)	None		$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{4}+\zeta_{10}q^{5}-q^{9}+(-\zeta_{10}^{2}+\zeta_{10}^{3}+\cdots)q^{11}+\cdots\)
571.3.b.b	$571$	$3$	571.b	571.b	$2$	$5$	$5$	$15.559$	5.5.1018878125.1	$_{}$	\(\Q(\sqrt{-571}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{4}+(\beta _{2}-\beta _{3})q^{5}+9q^{9}+(-4\beta _{1}+\cdots)q^{11}+\cdots\)
2284.3.c.a	$2284$	$3$	2284.c	571.b	$2$	$10$	$10$	$62.234$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	$_{}$	\(\Q(\sqrt{-571}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{6}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{7}q^{5}+9q^{9}+(-\beta _{2}+\beta _{4}-2\beta _{6}+\cdots)q^{11}+\cdots\)