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Results (9 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
379.1.b.a	$379$	$1$	379.b	379.b	$2$	$1$	$1$	$0.189$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-379}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}-q^{5}+q^{9}+q^{16}-q^{19}-q^{20}+\cdots\)
1516.1.b.a	$1516$	$1$	1516.b	379.b	$2$	$3$	$3$	$0.757$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-379}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\beta _{1}q^{5}+q^{9}+(\beta _{1}-\beta _{2})q^{19}+\beta _{2}q^{23}+\cdots\)
1895.1.d.b	$1895$	$1$	1895.d	1895.d	$2$	$1$	$1$	$0.946$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-379}) \), \(\Q(\sqrt{-1895}) \)	\(\Q(\sqrt{5}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q-q^{4}+q^{5}-q^{9}+q^{16}+2q^{19}-q^{20}+\cdots\)
1895.1.d.d	$1895$	$1$	1895.d	1895.d	$2$	$2$	$2$	$0.946$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-379}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{4}+\zeta_{6}^{2}q^{5}-q^{9}+q^{16}-q^{19}+\cdots\)
3411.1.c.a	$3411$	$1$	3411.c	379.b	$2$	$1$	$1$	$1.702$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-379}) \)	\(\Q(\sqrt{1137}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}+q^{16}+2q^{19}-q^{25}-2q^{37}+\cdots\)
3411.1.c.b	$3411$	$1$	3411.c	379.b	$2$	$1$	$1$	$1.702$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-379}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{4}+q^{5}+q^{16}-q^{19}+q^{20}+q^{23}+\cdots\)
3411.1.c.c	$3411$	$1$	3411.c	379.b	$2$	$2$	$2$	$1.702$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-379}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{4}-\beta q^{5}+q^{16}-q^{19}-\beta q^{20}+\cdots\)
379.3.b.a	$379$	$3$	379.b	379.b	$2$	$3$	$3$	$10.327$	3.3.10233.1	$_{}$	\(\Q(\sqrt{-379}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{4}+(\beta _{1}+\beta _{2})q^{5}+9q^{9}+2^{4}q^{16}+\cdots\)
1516.3.b.a	$1516$	$3$	1516.b	379.b	$2$	$6$	$6$	$41.308$	6.6.\(\cdots\).2	$_{}$	\(\Q(\sqrt{-379}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{3}$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{5}q^{5}+9q^{9}+(-3\beta _{2}-2\beta _{3}-\beta _{4}+\cdots)q^{19}+\cdots\)