Newform search results

Results (8 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3059.1.e.a	$3059$	$1$	3059.e	3059.e	$2$	$1$	$1$	$1.527$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3059}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(1\)	$1$		\(q-q^{3}+q^{4}-q^{5}+q^{7}-q^{12}-q^{13}+\cdots\)
3059.1.e.b	$3059$	$1$	3059.e	3059.e	$2$	$1$	$1$	$1.527$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3059}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(1\)	\(-1\)	$1$		\(q-q^{3}+q^{4}+q^{5}-q^{7}-q^{12}-q^{13}+\cdots\)
3059.1.e.c	$3059$	$1$	3059.e	3059.e	$2$	$1$	$1$	$1.527$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-3059}) \)	\(\Q(\sqrt{161}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(-1\)	$1$		\(q+q^{4}-2q^{5}-q^{7}-q^{9}+q^{16}+2q^{17}+\cdots\)
3059.1.e.d	$3059$	$1$	3059.e	3059.e	$2$	$1$	$1$	$1.527$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-3059}) \)	\(\Q(\sqrt{161}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(2\)	\(1\)	$1$		\(q+q^{4}+2q^{5}+q^{7}-q^{9}+q^{16}-2q^{17}+\cdots\)
3059.1.e.e	$3059$	$1$	3059.e	3059.e	$2$	$1$	$1$	$1.527$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3059}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(-1\)	\(1\)	$1$		\(q+q^{3}+q^{4}-q^{5}+q^{7}+q^{12}+q^{13}+\cdots\)
3059.1.e.f	$3059$	$1$	3059.e	3059.e	$2$	$1$	$1$	$1.527$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3059}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(1\)	\(-1\)	$1$		\(q+q^{3}+q^{4}+q^{5}-q^{7}+q^{12}+q^{13}+\cdots\)
3059.1.e.g	$3059$	$1$	3059.e	3059.e	$2$	$2$	$2$	$1.527$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-3059}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(2\)	$1$		\(q-\beta q^{3}+q^{4}-q^{5}+q^{7}+2q^{9}-\beta q^{12}+\cdots\)
3059.1.e.h	$3059$	$1$	3059.e	3059.e	$2$	$2$	$2$	$1.527$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-3059}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(2\)	\(-2\)	$1$		\(q-\beta q^{3}+q^{4}+q^{5}-q^{7}+2q^{9}-\beta q^{12}+\cdots\)