Newform search results

Results (10 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2040.1.v.a	$2040$	$1$	2040.v	2040.v	$2$	$1$	$1$	$1.018$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-510}) \)	\(\Q(\sqrt{34}) \)	✓	$4$	$0$	\(-1\)	\(-1\)	\(1\)	\(0\)	$1$		\(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-q^{8}+\cdots\)
2040.1.v.b	$2040$	$1$	2040.v	2040.v	$2$	$1$	$1$	$1.018$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-510}) \)	\(\Q(\sqrt{34}) \)	✓	$4$	$0$	\(-1\)	\(1\)	\(-1\)	\(0\)	$1$		\(q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\cdots\)
2040.1.v.c	$2040$	$1$	2040.v	2040.v	$2$	$1$	$1$	$1.018$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-510}) \)	\(\Q(\sqrt{34}) \)	✓	$4$	$0$	\(1\)	\(-1\)	\(1\)	\(0\)	$1$		\(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{8}+\cdots\)
2040.1.v.d	$2040$	$1$	2040.v	2040.v	$2$	$1$	$1$	$1.018$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-510}) \)	\(\Q(\sqrt{34}) \)	✓	$4$	$0$	\(1\)	\(1\)	\(-1\)	\(0\)	$1$		\(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\cdots\)
2040.1.v.e	$2040$	$1$	2040.v	2040.v	$2$	$2$	$2$	$1.018$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-30}) \), \(\Q(\sqrt{-255}) \)	\(\Q(\sqrt{34}) \)		$8$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{2}-iq^{3}+q^{4}-iq^{5}+iq^{6}-q^{8}+\cdots\)
2040.1.v.f	$2040$	$1$	2040.v	2040.v	$2$	$2$	$2$	$1.018$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-30}) \), \(\Q(\sqrt{-255}) \)	\(\Q(\sqrt{34}) \)		$8$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{2}-iq^{3}+q^{4}+iq^{5}-iq^{6}+q^{8}+\cdots\)
2176.1.e.a	$2176$	$1$	2176.e	136.e	$2$	$1$	$1$	$1.086$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-34}) \)	\(\Q(\sqrt{34}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q-2q^{5}+q^{9}-q^{17}+3q^{25}+2q^{29}+\cdots\)
2176.1.e.d	$2176$	$1$	2176.e	136.e	$2$	$1$	$1$	$1.086$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-34}) \)	\(\Q(\sqrt{34}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$1$		\(q+2q^{5}+q^{9}-q^{17}+3q^{25}-2q^{29}+\cdots\)
2176.1.e.e	$2176$	$1$	2176.e	136.e	$2$	$2$	$2$	$1.086$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-2}) \), \(\Q(\sqrt{-17}) \)	\(\Q(\sqrt{34}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$		\(q-iq^{3}-3q^{9}-iq^{11}+q^{17}-q^{25}+\cdots\)
2312.1.q.a	$2312$	$1$	2312.q	136.q	$16$	$16$	$2$	$1.154$	\(\Q(\zeta_{32})\)	$D_{4}$	None	\(\Q(\sqrt{34}) \)		$32$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{4}$		\(q-\zeta_{32}^{2}q^{2}+(-\zeta_{32}^{3}-\zeta_{32}^{11})q^{3}+\cdots\)