Newform search results

Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

Results (48 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs			Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3	5
8640.2.a.b	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(-4\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-4q^{7}+6q^{11}+4q^{13}+3q^{17}+\cdots\)
8640.2.a.c	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(-3\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-3q^{7}-2q^{11}+5q^{13}+8q^{17}+\cdots\)
8640.2.a.e	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-2q^{7}-3q^{11}-5q^{13}+3q^{17}+\cdots\)
8640.2.a.h	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(-2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-2q^{7}+6q^{13}-7q^{17}-7q^{19}+\cdots\)
8640.2.a.i	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-2q^{7}+q^{11}-q^{13}-q^{17}+\cdots\)
8640.2.a.j	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-2q^{7}+3q^{11}+5q^{13}-3q^{17}+\cdots\)
8640.2.a.k	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(-2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-2q^{7}+4q^{11}+2q^{13}+5q^{17}+\cdots\)
8640.2.a.r	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(1\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+q^{7}+2q^{11}+3q^{13}-2q^{17}+\cdots\)
8640.2.a.t	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+2q^{7}-4q^{11}+2q^{13}+5q^{17}+\cdots\)
8640.2.a.v	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+2q^{7}-q^{11}-q^{13}-q^{17}+\cdots\)
8640.2.a.x	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(2\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+2q^{7}+6q^{13}-7q^{17}+7q^{19}+\cdots\)
8640.2.a.y	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+2q^{7}+3q^{11}-5q^{13}+3q^{17}+\cdots\)
8640.2.a.ba	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+3q^{7}-2q^{11}-5q^{13}+2q^{17}+\cdots\)
8640.2.a.bb	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+3q^{7}+2q^{11}+5q^{13}+8q^{17}+\cdots\)
8640.2.a.bc	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+4q^{7}-6q^{11}+4q^{13}+3q^{17}+\cdots\)
8640.2.a.be	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(-4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-4q^{7}-6q^{11}+4q^{13}-3q^{17}+\cdots\)
8640.2.a.bg	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(-3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-3q^{7}-2q^{11}-5q^{13}-2q^{17}+\cdots\)
8640.2.a.bi	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(-2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-2q^{7}-4q^{11}+2q^{13}-5q^{17}+\cdots\)
8640.2.a.bm	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(-2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-2q^{7}+6q^{13}+7q^{17}-7q^{19}+\cdots\)
8640.2.a.bo	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(-2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-2q^{7}+3q^{11}+q^{13}+3q^{17}+\cdots\)
8640.2.a.bp	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(-1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-q^{7}-2q^{11}+5q^{13}+4q^{17}+\cdots\)
8640.2.a.bq	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(-1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-q^{7}+2q^{11}+3q^{13}+2q^{17}+\cdots\)
8640.2.a.br	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(-1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-q^{7}+6q^{11}+q^{13}+q^{19}+\cdots\)
8640.2.a.bu	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+q^{7}-6q^{11}+q^{13}-q^{19}+\cdots\)
8640.2.a.bw	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+q^{7}+2q^{11}+5q^{13}+4q^{17}+\cdots\)
8640.2.a.by	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+2q^{7}-3q^{11}+q^{13}+3q^{17}+\cdots\)
8640.2.a.ca	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+2q^{7}+6q^{13}+7q^{17}+7q^{19}+\cdots\)
8640.2.a.cc	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(2\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+2q^{7}+3q^{11}+5q^{13}+3q^{17}+\cdots\)
8640.2.a.cd	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+2q^{7}+4q^{11}+2q^{13}-5q^{17}+\cdots\)
8640.2.a.ch	$8640$	$2$	8640.a	1.a	$1$	$1$	$1$	$68.991$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+4q^{7}+6q^{11}+4q^{13}-3q^{17}+\cdots\)
8640.2.a.cj	$8640$	$2$	8640.a	1.a	$1$	$2$	$2$	$68.991$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(-3\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(-1-\beta )q^{7}+(2-\beta )q^{11}-q^{13}+\cdots\)
8640.2.a.ck	$8640$	$2$	8640.a	1.a	$1$	$2$	$2$	$68.991$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(-2\)		$-$	$+$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{5}+(-1-\beta )q^{7}+(1-\beta )q^{11}+(-3+\cdots)q^{13}+\cdots\)
8640.2.a.cp	$8640$	$2$	8640.a	1.a	$1$	$2$	$2$	$68.991$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+\beta q^{7}+\beta q^{11}+(2-3\beta )q^{13}+\cdots\)
8640.2.a.cr	$8640$	$2$	8640.a	1.a	$1$	$2$	$2$	$68.991$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(2\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{5}+(1+\beta )q^{7}+(-1+\beta )q^{11}+(-3+\cdots)q^{13}+\cdots\)
8640.2.a.cs	$8640$	$2$	8640.a	1.a	$1$	$2$	$2$	$68.991$	\(\Q(\sqrt{7}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(1+\beta )q^{7}+(-1-\beta )q^{11}+(-1+\cdots)q^{13}+\cdots\)
8640.2.a.ct	$8640$	$2$	8640.a	1.a	$1$	$2$	$2$	$68.991$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(2\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(1+\beta )q^{7}+(-1+3\beta )q^{11}+\cdots\)
8640.2.a.cv	$8640$	$2$	8640.a	1.a	$1$	$2$	$2$	$68.991$	\(\Q(\sqrt{10}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(-2\)	\(4\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}+(2+\beta )q^{7}+(-2+\beta )q^{11}+\beta q^{13}+\cdots\)
8640.2.a.cy	$8640$	$2$	8640.a	1.a	$1$	$2$	$2$	$68.991$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(-2\)		$-$	$-$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{5}+(-1-\beta )q^{7}+(-1+\beta )q^{11}+\cdots\)
8640.2.a.db	$8640$	$2$	8640.a	1.a	$1$	$2$	$2$	$68.991$	\(\Q(\sqrt{73}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(-1\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-\beta q^{7}+(1-\beta )q^{11}-3q^{13}+\cdots\)
8640.2.a.dd	$8640$	$2$	8640.a	1.a	$1$	$2$	$2$	$68.991$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+\beta q^{7}-\beta q^{11}+(2-3\beta )q^{13}+\cdots\)
8640.2.a.de	$8640$	$2$	8640.a	1.a	$1$	$2$	$2$	$68.991$	\(\Q(\sqrt{73}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(1\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+\beta q^{7}+(-1+\beta )q^{11}-3q^{13}+\cdots\)
8640.2.a.df	$8640$	$2$	8640.a	1.a	$1$	$2$	$2$	$68.991$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(2\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{5}+(1+\beta )q^{7}+(1-\beta )q^{11}+(-3+\cdots)q^{13}+\cdots\)
8640.2.a.dg	$8640$	$2$	8640.a	1.a	$1$	$2$	$2$	$68.991$	\(\Q(\sqrt{7}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(1+\beta )q^{7}+(1+\beta )q^{11}+(-1+\cdots)q^{13}+\cdots\)
8640.2.a.dh	$8640$	$2$	8640.a	1.a	$1$	$2$	$2$	$68.991$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(2\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(1+\beta )q^{7}+(1-3\beta )q^{11}+(3+\cdots)q^{13}+\cdots\)
8640.2.a.di	$8640$	$2$	8640.a	1.a	$1$	$2$	$2$	$68.991$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(3\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(1+\beta )q^{7}+(2-\beta )q^{11}-q^{13}+\cdots\)
8640.2.a.dj	$8640$	$2$	8640.a	1.a	$1$	$2$	$2$	$68.991$	\(\Q(\sqrt{10}) \)	None	✓	$1$	$0$	\(0\)	\(0\)	\(2\)	\(4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+(2+\beta )q^{7}+(2-\beta )q^{11}+\beta q^{13}+\cdots\)
8640.2.a.dl	$8640$	$2$	8640.a	1.a	$1$	$3$	$3$	$68.991$	3.3.1509.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(1\)		$+$	$-$	$+$	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{5}-\beta _{2}q^{7}+(-\beta _{1}-\beta _{2})q^{11}+(-2+\cdots)q^{13}+\cdots\)
8640.2.a.dm	$8640$	$2$	8640.a	1.a	$1$	$3$	$3$	$68.991$	3.3.1509.1	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(-1\)		$+$	$+$	$-$	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{5}+\beta _{2}q^{7}+(-\beta _{1}-\beta _{2})q^{11}+(-2+\cdots)q^{13}+\cdots\)