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Results (15 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
435.1.b.a	$435$	$1$	435.b	435.b	$2$	$4$	$4$	$0.217$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{145}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{8}+\zeta_{8}^{3})q^{2}-\zeta_{8}q^{3}-q^{4}+\zeta_{8}^{2}q^{5}+\cdots\)
580.1.e.a	$580$	$1$	580.e	580.e	$2$	$1$	$1$	$0.289$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-145}) \)	\(\Q(\sqrt{145}) \)	✓	$4$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q-q^{2}+q^{4}-q^{5}-q^{8}+q^{9}+q^{10}+\cdots\)
580.1.e.b	$580$	$1$	580.e	580.e	$2$	$1$	$1$	$0.289$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-145}) \)	\(\Q(\sqrt{145}) \)	✓	$4$	$0$	\(1\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{2}+q^{4}-q^{5}+q^{8}+q^{9}-q^{10}+\cdots\)
580.1.e.c	$580$	$1$	580.e	580.e	$2$	$2$	$2$	$0.289$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-29}) \)	\(\Q(\sqrt{145}) \)		$8$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-iq^{2}-iq^{3}-q^{4}+q^{5}-2q^{6}+iq^{8}+\cdots\)
1160.1.o.e	$1160$	$1$	1160.o	1160.o	$2$	$4$	$4$	$0.579$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{145}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{8}q^{2}+(-\zeta_{8}+\zeta_{8}^{3})q^{3}+\zeta_{8}^{2}q^{4}+\cdots\)
2175.1.h.g	$2175$	$1$	2175.h	87.d	$2$	$4$	$4$	$1.085$	\(\Q(\zeta_{8})\)	$D_{4}$	None	\(\Q(\sqrt{145}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\zeta_{8}+\zeta_{8}^{3})q^{2}-\zeta_{8}q^{3}+q^{4}+(1+\cdots)q^{6}+\cdots\)
2900.1.g.b	$2900$	$1$	2900.g	116.d	$2$	$1$	$1$	$1.447$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-29}) \)	\(\Q(\sqrt{145}) \)	✓	$4$	$0$	\(-1\)	\(2\)	\(0\)	\(0\)	$1$		\(q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{8}+3q^{9}+\cdots\)
2900.1.g.c	$2900$	$1$	2900.g	116.d	$2$	$1$	$1$	$1.447$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-5}) \), \(\Q(\sqrt{-29}) \)	\(\Q(\sqrt{145}) \)	✓	$4$	$0$	\(1\)	\(-2\)	\(0\)	\(0\)	$1$		\(q+q^{2}-2q^{3}+q^{4}-2q^{6}+q^{8}+3q^{9}+\cdots\)
2900.1.g.f	$2900$	$1$	2900.g	116.d	$2$	$2$	$2$	$1.447$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-145}) \)	\(\Q(\sqrt{145}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{2}-q^{4}+iq^{8}-q^{9}+q^{16}+iq^{17}+\cdots\)
3480.1.g.a	$3480$	$1$	3480.g	3480.g	$2$	$1$	$1$	$1.737$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-870}) \)	\(\Q(\sqrt{145}) \)	✓	$4$	$0$	\(-1\)	\(1\)	\(-1\)	\(0\)	$1$		\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots\)
3480.1.g.b	$3480$	$1$	3480.g	3480.g	$2$	$1$	$1$	$1.737$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-870}) \)	\(\Q(\sqrt{145}) \)	✓	$4$	$0$	\(-1\)	\(1\)	\(1\)	\(0\)	$1$		\(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots\)
3480.1.g.c	$3480$	$1$	3480.g	3480.g	$2$	$1$	$1$	$1.737$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-870}) \)	\(\Q(\sqrt{145}) \)	✓	$4$	$0$	\(1\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots\)
3480.1.g.d	$3480$	$1$	3480.g	3480.g	$2$	$1$	$1$	$1.737$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-6}) \), \(\Q(\sqrt{-870}) \)	\(\Q(\sqrt{145}) \)	✓	$4$	$0$	\(1\)	\(-1\)	\(1\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
3480.1.g.e	$3480$	$1$	3480.g	3480.g	$2$	$2$	$2$	$1.737$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-30}) \), \(\Q(\sqrt{-174}) \)	\(\Q(\sqrt{145}) \)		$8$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+iq^{2}-iq^{3}-q^{4}-q^{5}+q^{6}-iq^{8}+\cdots\)
3480.1.g.f	$3480$	$1$	3480.g	3480.g	$2$	$2$	$2$	$1.737$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-30}) \), \(\Q(\sqrt{-174}) \)	\(\Q(\sqrt{145}) \)		$8$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q-iq^{2}-iq^{3}-q^{4}+q^{5}-q^{6}+iq^{8}+\cdots\)