Newform search results

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

Results (38 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	11
6336.2.a.b	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}-2q^{7}-q^{11}+2q^{13}-2q^{17}+\cdots\)
6336.2.a.c	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}-2q^{7}+q^{11}-4q^{13}+2q^{17}+\cdots\)
6336.2.a.d	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}+2q^{7}-q^{11}-4q^{13}+2q^{17}+\cdots\)
6336.2.a.e	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}+2q^{7}+q^{11}-4q^{13}-2q^{17}+\cdots\)
6336.2.a.f	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}+2q^{7}+q^{11}+2q^{13}-2q^{17}+\cdots\)
6336.2.a.g	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(-4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}-4q^{7}+q^{11}+2q^{13}+8q^{17}+\cdots\)
6336.2.a.n	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}-4q^{7}-q^{11}+2q^{13}+2q^{17}+\cdots\)
6336.2.a.s	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+q^{11}-2q^{17}+6q^{19}-6q^{23}+\cdots\)
6336.2.a.t	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+q^{11}+6q^{13}-2q^{17}-4q^{19}+\cdots\)
6336.2.a.u	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+2q^{7}-q^{11}+2q^{13}-2q^{19}+\cdots\)
6336.2.a.w	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+4q^{7}+q^{11}-4q^{13}-6q^{17}+\cdots\)
6336.2.a.x	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+4q^{7}+q^{11}+2q^{13}+2q^{17}+\cdots\)
6336.2.a.ba	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}-q^{11}+2q^{17}+8q^{19}-2q^{23}+\cdots\)
6336.2.a.bb	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}-q^{11}+2q^{13}+2q^{17}-6q^{19}+\cdots\)
6336.2.a.bc	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}-q^{11}+6q^{13}-6q^{17}+2q^{19}+\cdots\)
6336.2.a.bd	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}+q^{11}-2q^{13}+6q^{17}+2q^{19}+\cdots\)
6336.2.a.bh	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}-q^{11}-2q^{13}+6q^{17}-2q^{19}+\cdots\)
6336.2.a.bi	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}-q^{11}+2q^{13}-2q^{17}+6q^{19}+\cdots\)
6336.2.a.bl	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}+q^{11}-4q^{13}+2q^{17}-2q^{23}+\cdots\)
6336.2.a.bn	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}+q^{11}+2q^{17}-8q^{19}+2q^{23}+\cdots\)
6336.2.a.bp	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}+q^{11}+6q^{13}-6q^{17}-2q^{19}+\cdots\)
6336.2.a.bq	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-4q^{7}-q^{11}+2q^{13}-2q^{19}+\cdots\)
6336.2.a.br	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-2q^{7}+q^{11}-4q^{13}+2q^{17}+\cdots\)
6336.2.a.bs	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-q^{11}+6q^{13}+4q^{17}-6q^{19}+\cdots\)
6336.2.a.bu	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(1\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+2q^{7}-q^{11}-4q^{13}+2q^{17}+\cdots\)
6336.2.a.bx	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-4q^{7}+q^{11}-4q^{13}+6q^{17}+\cdots\)
6336.2.a.by	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-4q^{7}+q^{11}+2q^{13}-2q^{17}+\cdots\)
6336.2.a.ca	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-2q^{7}+q^{11}+2q^{13}-4q^{17}+\cdots\)
6336.2.a.cb	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-q^{11}-2q^{13}-6q^{17}+4q^{23}+\cdots\)
6336.2.a.cd	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+q^{11}-2q^{13}-6q^{17}-4q^{23}+\cdots\)
6336.2.a.ce	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(0\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+q^{11}+2q^{17}-6q^{19}-6q^{23}+\cdots\)
6336.2.a.cg	$6336$	$2$	6336.a	1.a	$1$	$1$	$1$	$50.593$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+2q^{7}-q^{11}+2q^{13}-4q^{17}+\cdots\)
6336.2.a.cp	$6336$	$2$	6336.a	1.a	$1$	$2$	$2$	$50.593$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-4\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+(-2+\beta )q^{7}+q^{11}+(-2+\cdots)q^{13}+\cdots\)
6336.2.a.cq	$6336$	$2$	6336.a	1.a	$1$	$2$	$2$	$50.593$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(4\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+(2-\beta )q^{7}-q^{11}+(-2-\beta )q^{13}+\cdots\)
6336.2.a.ct	$6336$	$2$	6336.a	1.a	$1$	$2$	$2$	$50.593$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(2\)		$-$	$-$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{5}+(1-\beta )q^{7}-q^{11}+(-3+\cdots)q^{13}+\cdots\)
6336.2.a.cw	$6336$	$2$	6336.a	1.a	$1$	$2$	$2$	$50.593$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(3\)	\(0\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{5}+q^{11}-2q^{13}+(-4+2\beta )q^{17}+\cdots\)
6336.2.a.cy	$6336$	$2$	6336.a	1.a	$1$	$3$	$3$	$50.593$	3.3.229.1	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-4\)		$-$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{5}+(-1-\beta _{2})q^{7}-q^{11}+\beta _{1}q^{13}+\cdots\)
6336.2.a.da	$6336$	$2$	6336.a	1.a	$1$	$4$	$4$	$50.593$	\(\Q(\zeta_{24})^+\)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)		$+$	$+$	$+$	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{5}+\beta _{3}q^{7}-q^{11}+(-2-\beta _{2}+\cdots)q^{13}+\cdots\)