Newform search results

Results (14 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
3311.1.h.a	$3311$	$1$	3311.h	3311.h	$2$	$1$	$1$	$1.652$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-3311}) \)	\(\Q(\sqrt{473}) \)	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(-1\)	$1$		\(q-2q^{2}+3q^{4}-q^{7}-4q^{8}-q^{9}-q^{11}+\cdots\)
3311.1.h.b	$3311$	$1$	3311.h	3311.h	$2$	$1$	$1$	$1.652$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3311}) \)	None	✓	$2$	$0$	\(-1\)	\(-1\)	\(-1\)	\(1\)	$1$		\(q-q^{2}-q^{3}-q^{5}+q^{6}+q^{7}+q^{8}+\cdots\)
3311.1.h.c	$3311$	$1$	3311.h	3311.h	$2$	$1$	$1$	$1.652$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3311}) \)	None	✓	$2$	$0$	\(-1\)	\(1\)	\(1\)	\(1\)	$1$		\(q-q^{2}+q^{3}+q^{5}-q^{6}+q^{7}+q^{8}+\cdots\)
3311.1.h.d	$3311$	$1$	3311.h	3311.h	$2$	$1$	$1$	$1.652$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3311}) \)	None	✓	$2$	$0$	\(1\)	\(-1\)	\(-1\)	\(-1\)	$1$		\(q+q^{2}-q^{3}-q^{5}-q^{6}-q^{7}-q^{8}+\cdots\)
3311.1.h.e	$3311$	$1$	3311.h	3311.h	$2$	$1$	$1$	$1.652$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3311}) \)	None	✓	$2$	$0$	\(1\)	\(1\)	\(1\)	\(-1\)	$1$		\(q+q^{2}+q^{3}+q^{5}+q^{6}-q^{7}-q^{8}+\cdots\)
3311.1.h.f	$3311$	$1$	3311.h	3311.h	$2$	$1$	$1$	$1.652$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-3311}) \)	\(\Q(\sqrt{473}) \)	✓	$4$	$0$	\(2\)	\(0\)	\(0\)	\(1\)	$1$		\(q+2q^{2}+3q^{4}+q^{7}+4q^{8}-q^{9}-q^{11}+\cdots\)
3311.1.h.h	$3311$	$1$	3311.h	3311.h	$2$	$2$	$2$	$1.652$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-3311}) \)	None	✓	$4$	$0$	\(-2\)	\(0\)	\(0\)	\(2\)	$1$		\(q-q^{2}-\beta q^{3}-\beta q^{5}+\beta q^{6}+q^{7}+q^{8}+\cdots\)
3311.1.h.i	$3311$	$1$	3311.h	3311.h	$2$	$2$	$2$	$1.652$	\(\Q(\sqrt{3}) \)	$D_{6}$	\(\Q(\sqrt{-3311}) \)	None	✓	$4$	$0$	\(2\)	\(0\)	\(0\)	\(-2\)	$1$		\(q+q^{2}-\beta q^{3}-\beta q^{5}-\beta q^{6}-q^{7}-q^{8}+\cdots\)
3311.1.h.k	$3311$	$1$	3311.h	3311.h	$2$	$3$	$3$	$1.652$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-3311}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-3\)	$1$		\(q+(-\beta _{1}+\beta _{2})q^{2}+\beta _{1}q^{3}+(1-\beta _{1}+\cdots)q^{4}+\cdots\)
3311.1.h.l	$3311$	$1$	3311.h	3311.h	$2$	$3$	$3$	$1.652$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-3311}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(3\)	$1$		\(q+(\beta _{1}-\beta _{2})q^{2}-\beta _{1}q^{3}+(1-\beta _{1})q^{4}+\cdots\)
3311.1.h.m	$3311$	$1$	3311.h	3311.h	$2$	$3$	$3$	$1.652$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-3311}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-3\)	$1$		\(q+(-\beta _{1}+\beta _{2})q^{2}-\beta _{1}q^{3}+(1-\beta _{1}+\cdots)q^{4}+\cdots\)
3311.1.h.n	$3311$	$1$	3311.h	3311.h	$2$	$3$	$3$	$1.652$	\(\Q(\zeta_{18})^+\)	$D_{9}$	\(\Q(\sqrt{-3311}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(3\)	$1$		\(q+(\beta _{1}-\beta _{2})q^{2}+\beta _{1}q^{3}+(1-\beta _{1})q^{4}+\cdots\)
3311.1.h.o	$3311$	$1$	3311.h	3311.h	$2$	$6$	$6$	$1.652$	\(\Q(\zeta_{36})^+\)	$D_{18}$	\(\Q(\sqrt{-3311}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-6\)	$1$		\(q+(-\beta _{2}-\beta _{4})q^{2}-\beta _{1}q^{3}+(1-\beta _{4}+\cdots)q^{4}+\cdots\)
3311.1.h.p	$3311$	$1$	3311.h	3311.h	$2$	$6$	$6$	$1.652$	\(\Q(\zeta_{36})^+\)	$D_{18}$	\(\Q(\sqrt{-3311}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(6\)	$1$		\(q+(\beta _{2}+\beta _{4})q^{2}-\beta _{1}q^{3}+(1-\beta _{4})q^{4}+\cdots\)