Newform search results

Results (29 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2007.1.d.a	$2007$	$1$	2007.d	223.b	$2$	$1$	$1$	$1.002$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-223}) \)	\(\Q(\sqrt{669}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$1$		\(q-q^{4}-2q^{7}+q^{16}+2q^{19}+q^{25}+\cdots\)
2007.1.d.b	$2007$	$1$	2007.d	223.b	$2$	$3$	$3$	$1.002$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-223}) \)	None	✓	$2$	$0$	\(1\)	\(0\)	\(0\)	\(-1\)		$1$		\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{1}-\beta _{2})q^{7}+\cdots\)
2007.1.d.c	$2007$	$1$	2007.d	223.b	$2$	$6$	$6$	$1.002$	\(\Q(\zeta_{28})^+\)	$D_{14}$	\(\Q(\sqrt{-223}) \)	None	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(1-\beta _{2}-\beta _{4}+\cdots)q^{7}+\cdots\)
2007.1.v.a	$2007$	$1$	2007.v	223.f	$74$	$36$	$1$	$1.002$	\(\Q(\zeta_{74})\)	$D_{74}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$1$		\(q-\zeta_{74}^{20}q^{4}+(\zeta_{74}^{21}+\zeta_{74}^{27})q^{7}+\cdots\)
2007.2.a.a	$2007$	$2$	2007.a	1.a	$1$	$1$	$1$	$16.026$	\(\Q\)	$_{}$	None	None	✓	$1$	$2$	\(-1\)	\(0\)	\(-3\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{4}-3q^{5}-4q^{7}+3q^{8}+3q^{10}+\cdots\)
2007.2.a.b	$2007$	$2$	2007.a	1.a	$1$	$2$	$2$	$16.026$	\(\Q(\sqrt{13}) \)	$_{}$	None	None	✓	$1$	$0$	\(-1\)	\(0\)	\(6\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(1+\beta )q^{4}+3q^{5}-2\beta q^{7}+\cdots\)
2007.2.a.c	$2007$	$2$	2007.a	1.a	$1$	$2$	$2$	$16.026$	\(\Q(\sqrt{5}) \)	$_{}$	None	None	✓	$1$	$1$	\(1\)	\(0\)	\(-2\)	\(-6\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(-1+\beta )q^{4}-q^{5}+(-4+2\beta )q^{7}+\cdots\)
2007.2.a.d	$2007$	$2$	2007.a	1.a	$1$	$2$	$2$	$16.026$	\(\Q(\sqrt{2}) \)	$_{}$	None	None	✓	$1$	$0$	\(2\)	\(0\)	\(4\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(1+2\beta )q^{4}+(2-\beta )q^{5}+\cdots\)
2007.2.a.e	$2007$	$2$	2007.a	1.a	$1$	$2$	$2$	$16.026$	\(\Q(\sqrt{2}) \)	$_{}$	None	None	✓	$1$	$0$	\(2\)	\(0\)	\(6\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1+\beta )q^{2}+(1+2\beta )q^{4}+(3+\beta )q^{5}+\cdots\)
2007.2.a.f	$2007$	$2$	2007.a	1.a	$1$	$3$	$3$	$16.026$	3.3.148.1	$_{}$	None	None	✓	$1$	$1$	\(1\)	\(0\)	\(5\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(\beta _{1}+\beta _{2})q^{4}+(2-\beta _{1})q^{5}+\cdots\)
2007.2.a.g	$2007$	$2$	2007.a	1.a	$1$	$3$	$3$	$16.026$	3.3.257.1	$_{}$	None	None	✓	$1$	$0$	\(1\)	\(0\)	\(-2\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-2\beta _{1}q^{5}-\beta _{1}q^{7}+\cdots\)
2007.2.a.h	$2007$	$2$	2007.a	1.a	$1$	$3$	$3$	$16.026$	3.3.321.1	$_{}$	None	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{7}+\cdots\)
2007.2.a.i	$2007$	$2$	2007.a	1.a	$1$	$4$	$4$	$16.026$	4.4.1957.1	$_{}$	None	None	✓	$1$	$0$	\(4\)	\(0\)	\(3\)	\(-6\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+(1-\beta _{1}+\beta _{2}+\beta _{3})q^{4}+\cdots\)
2007.2.a.j	$2007$	$2$	2007.a	1.a	$1$	$6$	$6$	$16.026$	6.6.3356224.1	$_{}$	None	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-12\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{2}q^{4}+(\beta _{1}-\beta _{4}+\beta _{5})q^{5}+\cdots\)
2007.2.a.k	$2007$	$2$	2007.a	1.a	$1$	$6$	$6$	$16.026$	6.6.74097664.1	$_{}$	None	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{1}q^{5}-\beta _{2}q^{7}+\cdots\)
2007.2.a.l	$2007$	$2$	2007.a	1.a	$1$	$7$	$7$	$16.026$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-3\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
2007.2.a.m	$2007$	$2$	2007.a	1.a	$1$	$12$	$12$	$16.026$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-7\)	\(0\)	\(-7\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
2007.2.a.n	$2007$	$2$	2007.a	1.a	$1$	$14$	$14$	$16.026$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(0\)	\(-1\)	\(14\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}-\beta _{11}q^{5}+(1+\cdots)q^{7}+\cdots\)
2007.2.a.o	$2007$	$2$	2007.a	1.a	$1$	$26$	$26$	$16.026$		$_{}$	None	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(20\)	$-$		$\mathrm{SU}(2)$
2007.2.c.a	$2007$	$2$	2007.c	669.c	$2$	$28$	$28$	$16.026$		$_{}$	\(\Q(\sqrt{-223}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{U}(1)[D_{2}]$
2007.2.c.b	$2007$	$2$	2007.c	669.c	$2$	$48$	$48$	$16.026$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-16\)			$\mathrm{SU}(2)[C_{2}]$
2007.4.a.a	$2007$	$4$	2007.a	1.a	$1$	$23$	$23$	$118.417$		$_{}$	None	None	✓	$1$	$1$	\(6\)	\(0\)	\(20\)	\(-107\)	$-$		$\mathrm{SU}(2)$
2007.4.a.b	$2007$	$4$	2007.a	1.a	$1$	$24$	$24$	$118.417$		$_{}$	None	None	✓	$1$	$0$	\(17\)	\(0\)	\(50\)	\(-61\)	$+$		$\mathrm{SU}(2)$
2007.4.a.c	$2007$	$4$	2007.a	1.a	$1$	$26$	$26$	$118.417$		$_{}$	None	None	✓	$1$	$1$	\(-6\)	\(0\)	\(-20\)	\(5\)	$-$		$\mathrm{SU}(2)$
2007.4.a.d	$2007$	$4$	2007.a	1.a	$1$	$30$	$30$	$118.417$		$_{}$	None	None	✓	$1$	$0$	\(4\)	\(0\)	\(30\)	\(5\)	$+$		$\mathrm{SU}(2)$
2007.4.a.e	$2007$	$4$	2007.a	1.a	$1$	$31$	$31$	$118.417$		$_{}$	None	None	✓	$1$	$1$	\(-15\)	\(0\)	\(-50\)	\(51\)	$-$		$\mathrm{SU}(2)$
2007.4.a.f	$2007$	$4$	2007.a	1.a	$1$	$33$	$33$	$118.417$		$_{}$	None	None	✓	$1$	$0$	\(-4\)	\(0\)	\(-30\)	\(117\)	$+$		$\mathrm{SU}(2)$
2007.4.a.g	$2007$	$4$	2007.a	1.a	$1$	$48$	$48$	$118.417$		$_{}$	None	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-122\)	$-$		$\mathrm{SU}(2)$
2007.4.a.h	$2007$	$4$	2007.a	1.a	$1$	$62$	$62$	$118.417$		$_{}$	None	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(102\)	$+$		$\mathrm{SU}(2)$