Newform search results

Results (17 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.c	$600$	$4$	600.a	1.a	$1$	$1$	$1$	$35.401$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-10\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-10q^{7}+9q^{9}-14q^{11}+82q^{13}+\cdots\)
600.4.a.d	$600$	$4$	600.a	1.a	$1$	$1$	$1$	$35.401$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-8\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-8q^{7}+9q^{9}+20q^{11}-22q^{13}+\cdots\)
600.4.a.e	$600$	$4$	600.a	1.a	$1$	$1$	$1$	$35.401$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(-5\)		$-$	$+$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}-5q^{7}+9q^{9}+14q^{11}-q^{13}+\cdots\)
600.4.a.f	$600$	$4$	600.a	1.a	$1$	$1$	$1$	$35.401$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-3\)	\(0\)	\(4\)		$+$	$+$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+4q^{7}+9q^{9}-28q^{11}-2^{4}q^{13}+\cdots\)
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.i	$600$	$4$	600.a	1.a	$1$	$1$	$1$	$35.401$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(-20\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-20q^{7}+9q^{9}-56q^{11}+86q^{13}+\cdots\)
600.4.a.j	$600$	$4$	600.a	1.a	$1$	$1$	$1$	$35.401$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(-19\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-19q^{7}+9q^{9}+22q^{11}+q^{13}+\cdots\)
600.4.a.k	$600$	$4$	600.a	1.a	$1$	$1$	$1$	$35.401$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(-4\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}-4q^{7}+9q^{9}-28q^{11}+2^{4}q^{13}+\cdots\)
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.m	$600$	$4$	600.a	1.a	$1$	$1$	$1$	$35.401$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(0\)		$+$	$-$	$+$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+9q^{9}+4q^{11}-54q^{13}-114q^{17}+\cdots\)
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.p	$600$	$4$	600.a	1.a	$1$	$1$	$1$	$35.401$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(3\)	\(0\)	\(10\)		$-$	$-$	$-$	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+10q^{7}+9q^{9}-14q^{11}-82q^{13}+\cdots\)
600.4.a.q	$600$	$4$	600.a	1.a	$1$	$1$	$1$	$35.401$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(3\)	\(0\)	\(16\)		$-$	$-$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+2^{4}q^{7}+9q^{9}-28q^{11}+26q^{13}+\cdots\)