Newform search results

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

Results (18 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	23
3312.2.a.a	$3312$	$2$	3312.a	1.a	$1$	$1$	$1$	$26.446$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}-2q^{7}+2q^{13}+4q^{17}+6q^{19}+\cdots\)
3312.2.a.d	$3312$	$2$	3312.a	1.a	$1$	$1$	$1$	$26.446$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}-2q^{13}-2q^{17}+8q^{19}-q^{23}+\cdots\)
3312.2.a.e	$3312$	$2$	3312.a	1.a	$1$	$1$	$1$	$26.446$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+4q^{7}-4q^{11}-2q^{13}+2q^{17}+\cdots\)
3312.2.a.f	$3312$	$2$	3312.a	1.a	$1$	$1$	$1$	$26.446$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-4\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{7}+6q^{11}-2q^{13}-6q^{17}+6q^{19}+\cdots\)
3312.2.a.g	$3312$	$2$	3312.a	1.a	$1$	$1$	$1$	$26.446$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}-q^{13}+6q^{17}-2q^{19}-q^{23}+\cdots\)
3312.2.a.h	$3312$	$2$	3312.a	1.a	$1$	$1$	$1$	$26.446$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{7}+2q^{13}-2q^{19}-q^{23}-5q^{25}+\cdots\)
3312.2.a.i	$3312$	$2$	3312.a	1.a	$1$	$1$	$1$	$26.446$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}-5q^{13}+6q^{17}-6q^{19}+q^{23}+\cdots\)
3312.2.a.j	$3312$	$2$	3312.a	1.a	$1$	$1$	$1$	$26.446$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}+2q^{13}-8q^{17}-6q^{19}+q^{23}+\cdots\)
3312.2.a.k	$3312$	$2$	3312.a	1.a	$1$	$1$	$1$	$26.446$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{7}+4q^{11}-6q^{13}-4q^{17}-2q^{19}+\cdots\)
3312.2.a.l	$3312$	$2$	3312.a	1.a	$1$	$1$	$1$	$26.446$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-2\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}-2q^{7}-4q^{11}-2q^{13}+2q^{17}+\cdots\)
3312.2.a.n	$3312$	$2$	3312.a	1.a	$1$	$1$	$1$	$26.446$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(2\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+2q^{7}-6q^{11}-2q^{13}-q^{23}+\cdots\)
3312.2.a.r	$3312$	$2$	3312.a	1.a	$1$	$1$	$1$	$26.446$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(0\)	\(4\)	\(-2\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{5}-2q^{7}-4q^{11}-5q^{13}+2q^{17}+\cdots\)
3312.2.a.u	$3312$	$2$	3312.a	1.a	$1$	$2$	$2$	$26.446$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-2+\beta )q^{5}+(2+\beta )q^{7}-2\beta q^{11}+\cdots\)
3312.2.a.w	$3312$	$2$	3312.a	1.a	$1$	$2$	$2$	$26.446$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(-4\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{5}-2q^{7}+(1+\beta )q^{11}+\cdots\)
3312.2.a.x	$3312$	$2$	3312.a	1.a	$1$	$2$	$2$	$26.446$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(2\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{5}+(1-\beta )q^{7}+(-2+2\beta )q^{11}+\cdots\)
3312.2.a.y	$3312$	$2$	3312.a	1.a	$1$	$2$	$2$	$26.446$	\(\Q(\sqrt{10}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+(-2-\beta )q^{7}+4q^{13}+(-4+\cdots)q^{17}+\cdots\)
3312.2.a.z	$3312$	$2$	3312.a	1.a	$1$	$2$	$2$	$26.446$	\(\Q(\sqrt{7}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(2\)	\(-4\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{5}-2q^{7}+(1+\beta )q^{11}-2\beta q^{13}+\cdots\)
3312.2.a.bg	$3312$	$2$	3312.a	1.a	$1$	$4$	$4$	$26.446$	4.4.44688.2	None	✓	$1$	$1$	\(0\)	\(0\)	\(-4\)	\(-2\)		$+$	$+$	$+$	$+$	$2$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{5}+\beta _{1}q^{7}+(\beta _{2}-\beta _{3})q^{11}+\cdots\)