Newform search results

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

Results (12 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
600.4.a.a	$600$	$4$	600.a	1.a	$1$	$1$	$1$	$35.401$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(0\)	\(-20\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-20q^{7}+9q^{9}+2^{4}q^{11}-58q^{13}+\cdots\)
600.4.a.b	$600$	$4$	600.a	1.a	$1$	$1$	$1$	$35.401$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(0\)	\(-10\)		$-$	$+$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-10q^{7}+9q^{9}-46q^{11}+34q^{13}+\cdots\)
600.4.a.g	$600$	$4$	600.a	1.a	$1$	$1$	$1$	$35.401$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(0\)	\(19\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+19q^{7}+9q^{9}+22q^{11}-q^{13}+\cdots\)
600.4.a.h	$600$	$4$	600.a	1.a	$1$	$1$	$1$	$35.401$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(0\)	\(24\)		$+$	$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+24q^{7}+9q^{9}-28q^{11}+74q^{13}+\cdots\)
600.4.a.l	$600$	$4$	600.a	1.a	$1$	$1$	$1$	$35.401$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(-4\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-4q^{7}+9q^{9}+72q^{11}+6q^{13}+\cdots\)
600.4.a.n	$600$	$4$	600.a	1.a	$1$	$1$	$1$	$35.401$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(5\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+5q^{7}+9q^{9}+14q^{11}+q^{13}+\cdots\)
600.4.a.o	$600$	$4$	600.a	1.a	$1$	$1$	$1$	$35.401$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(10\)		$+$	$-$	$-$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+10q^{7}+9q^{9}-46q^{11}-34q^{13}+\cdots\)
600.4.a.q	$600$	$4$	600.a	1.a	$1$	$1$	$1$	$35.401$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(16\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+2^{4}q^{7}+9q^{9}-28q^{11}+26q^{13}+\cdots\)
600.4.a.s	$600$	$4$	600.a	1.a	$1$	$2$	$2$	$35.401$	\(\Q(\sqrt{109}) \)	None	✓	$1$	$0$	\(0\)	\(-6\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-3q^{3}+(1+\beta )q^{7}+9q^{9}+(-8+3\beta )q^{11}+\cdots\)
600.4.a.t	$600$	$4$	600.a	1.a	$1$	$2$	$2$	$35.401$	\(\Q(\sqrt{129}) \)	None	✓	$1$	$0$	\(0\)	\(-6\)	\(0\)	\(2\)		$-$	$+$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q-3q^{3}+(1+3\beta )q^{7}+9q^{9}+(37-\beta )q^{11}+\cdots\)
600.4.a.v	$600$	$4$	600.a	1.a	$1$	$2$	$2$	$35.401$	\(\Q(\sqrt{129}) \)	None	✓	$1$	$0$	\(0\)	\(6\)	\(0\)	\(-2\)		$+$	$-$	$-$	$+$	$2$	$\mathrm{SU}(2)$	\(q+3q^{3}+(-1-3\beta )q^{7}+9q^{9}+(37+\cdots)q^{11}+\cdots\)
600.4.a.w	$600$	$4$	600.a	1.a	$1$	$2$	$2$	$35.401$	\(\Q(\sqrt{181}) \)	None	✓	$1$	$0$	\(0\)	\(6\)	\(0\)	\(6\)		$-$	$-$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+3q^{3}+(3+\beta )q^{7}+9q^{9}+(4+\beta )q^{11}+\cdots\)