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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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1740.1.f.a	$1740$	$1$	1740.f	435.b	$2$	$1$	$1$	$0.868$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-435}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(0\)	$1$		\(q-q^{3}-q^{5}+q^{9}-q^{11}+q^{15}+q^{23}+\cdots\)
1740.1.f.b	$1740$	$1$	1740.f	435.b	$2$	$1$	$1$	$0.868$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-435}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(1\)	\(0\)	$1$		\(q-q^{3}+q^{5}+q^{9}+q^{11}-q^{15}-q^{23}+\cdots\)
1740.1.f.c	$1740$	$1$	1740.f	435.b	$2$	$1$	$1$	$0.868$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-435}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(-1\)	\(0\)	$1$		\(q+q^{3}-q^{5}+q^{9}+q^{11}-q^{15}+q^{23}+\cdots\)
1740.1.f.d	$1740$	$1$	1740.f	435.b	$2$	$1$	$1$	$0.868$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-435}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(1\)	\(0\)	$1$		\(q+q^{3}+q^{5}+q^{9}-q^{11}+q^{15}-q^{23}+\cdots\)
3915.1.b.a	$3915$	$1$	3915.b	435.b	$2$	$1$	$1$	$1.954$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-435}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}-q^{5}-q^{11}+q^{16}-q^{20}+q^{23}+\cdots\)
3915.1.b.b	$3915$	$1$	3915.b	435.b	$2$	$1$	$1$	$1.954$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-435}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(0\)	$1$		\(q+q^{4}-q^{5}+q^{11}+q^{16}-q^{20}+q^{23}+\cdots\)
3915.1.b.c	$3915$	$1$	3915.b	435.b	$2$	$1$	$1$	$1.954$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-435}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{4}+q^{5}-q^{11}+q^{16}+q^{20}-q^{23}+\cdots\)
3915.1.b.d	$3915$	$1$	3915.b	435.b	$2$	$1$	$1$	$1.954$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-435}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(1\)	\(0\)	$1$		\(q+q^{4}+q^{5}+q^{11}+q^{16}+q^{20}-q^{23}+\cdots\)
1305.2.f.g	$1305$	$2$	1305.f	145.d	$2$	$4$	$4$	$10.420$	\(\Q(\sqrt{-5}, \sqrt{-29})\)	$_{}$	\(\Q(\sqrt{-435}) \)	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{4}-\beta _{1}q^{5}-\beta _{2}q^{11}+4q^{16}+\cdots\)
435.3.b.a	$435$	$3$	435.b	435.b	$2$	$1$	$1$	$11.853$	\(\Q\)	$_{}$	\(\Q(\sqrt{-435}) \)	None	✓	$2$	$0$	\(0\)	\(-3\)	\(-5\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-3q^{3}+4q^{4}-5q^{5}+9q^{9}-7q^{11}+\cdots\)
435.3.b.b	$435$	$3$	435.b	435.b	$2$	$1$	$1$	$11.853$	\(\Q\)	$_{}$	\(\Q(\sqrt{-435}) \)	None	✓	$2$	$0$	\(0\)	\(-3\)	\(5\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-3q^{3}+4q^{4}+5q^{5}+9q^{9}+7q^{11}+\cdots\)
435.3.b.c	$435$	$3$	435.b	435.b	$2$	$1$	$1$	$11.853$	\(\Q\)	$_{}$	\(\Q(\sqrt{-435}) \)	None	✓	$2$	$0$	\(0\)	\(3\)	\(-5\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+3q^{3}+4q^{4}-5q^{5}+9q^{9}+7q^{11}+\cdots\)
435.3.b.d	$435$	$3$	435.b	435.b	$2$	$1$	$1$	$11.853$	\(\Q\)	$_{}$	\(\Q(\sqrt{-435}) \)	None	✓	$2$	$0$	\(0\)	\(3\)	\(5\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+3q^{3}+4q^{4}+5q^{5}+9q^{9}-7q^{11}+\cdots\)
5220.2.b.a	$5220$	$2$	5220.b	145.d	$2$	$4$	$4$	$41.682$	\(\Q(\sqrt{-5}, \sqrt{-29})\)	$_{}$	\(\Q(\sqrt{-435}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{5}+(-\beta _{1}+\beta _{2})q^{11}+(-3\beta _{1}+\cdots)q^{23}+\cdots\)
5220.2.b.b	$5220$	$2$	5220.b	145.d	$2$	$4$	$4$	$41.682$	\(\Q(\sqrt{-5}, \sqrt{-29})\)	$_{}$	\(\Q(\sqrt{-435}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{2}q^{5}+(-\beta _{1}+\beta _{2})q^{11}+(3\beta _{1}+\beta _{2}+\cdots)q^{23}+\cdots\)