Newform search results

Results (1-50 of 239 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
100.1.j.a	$100$	$1$	100.j	100.j	$10$	$4$	$1$	$0.050$	\(\Q(\zeta_{10})\)	$D_{5}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-1\)	\(0\)	\(-1\)	\(0\)		$1$		\(q-\zeta_{10}^{3}q^{2}-\zeta_{10}q^{4}+\zeta_{10}^{4}q^{5}+\zeta_{10}^{4}q^{8}+\cdots\)
100.2.a.a	$100$	$2$	100.a	1.a	$1$	$1$	$1$	$0.799$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-2q^{7}+q^{9}-2q^{13}+6q^{17}+\cdots\)
100.2.c.a	$100$	$2$	100.c	5.b	$2$	$2$	$2$	$0.799$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{3}+iq^{7}-q^{9}-iq^{13}-3iq^{17}+\cdots\)
100.2.e.a	$100$	$2$	100.e	20.e	$4$	$2$	$1$	$0.799$	\(\Q(\sqrt{-1}) \)	$_{}$	\(\Q(\sqrt{-5}) \)	None		$4$	$0$	\(-2\)	\(-2\)	\(0\)	\(6\)		$1$	$\mathrm{U}(1)[D_{4}]$	\(q+(-1+i)q^{2}+(-1-i)q^{3}-2iq^{4}+\cdots\)
100.2.e.b	$100$	$2$	100.e	20.e	$4$	$2$	$1$	$0.799$	\(\Q(\sqrt{-1}) \)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(2\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{4}]$	\(q+(1+i)q^{2}+2iq^{4}+(-2+2i)q^{8}+\cdots\)
100.2.e.c	$100$	$2$	100.e	20.e	$4$	$2$	$1$	$0.799$	\(\Q(\sqrt{-1}) \)	$_{}$	\(\Q(\sqrt{-5}) \)	None		$4$	$0$	\(2\)	\(2\)	\(0\)	\(-6\)		$1$	$\mathrm{U}(1)[D_{4}]$	\(q+(1-i)q^{2}+(1+i)q^{3}-2iq^{4}+2q^{6}+\cdots\)
100.2.e.d	$100$	$2$	100.e	20.e	$4$	$8$	$4$	$0.799$	8.0.3317760000.5	$_{}$	None	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+\beta _{1}q^{2}+(-\beta _{4}+\beta _{6})q^{3}+\beta _{2}q^{4}+\cdots\)
100.2.g.a	$100$	$2$	100.g	25.d	$5$	$12$	$3$	$0.799$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(2\)	\(-4\)	\(-2\)		$1$	$\mathrm{SU}(2)[C_{5}]$	\(q-\beta _{4}q^{3}+(-1-\beta _{4}+\beta _{5}-\beta _{6}-\beta _{7}+\cdots)q^{5}+\cdots\)
100.2.i.a	$100$	$2$	100.i	25.e	$10$	$8$	$2$	$0.799$	8.0.58140625.2	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(5\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{10}]$	\(q+(-\beta _{4}-\beta _{5})q^{3}+(2\beta _{1}+\beta _{2}+\beta _{5}+\cdots)q^{5}+\cdots\)
100.2.l.a	$100$	$2$	100.l	100.l	$20$	$8$	$1$	$0.799$	\(\Q(\zeta_{20})\)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(2\)	\(0\)	\(4\)	\(0\)		$1$	$\mathrm{U}(1)[D_{20}]$	\(q+(1-\zeta_{20}^{2}+\zeta_{20}^{3}+\zeta_{20}^{4}-\zeta_{20}^{6}+\cdots)q^{2}+\cdots\)
100.2.l.b	$100$	$2$	100.l	100.l	$20$	$96$	$12$	$0.799$		$_{}$	None	None		$4$	$0$	\(-10\)	\(0\)	\(-20\)	\(0\)			$\mathrm{SU}(2)[C_{20}]$
100.3.b.a	$100$	$3$	100.b	4.b	$2$	$1$	$1$	$2.725$	\(\Q\)	$_{}$	\(\Q(\sqrt{-1}) \)	None	✓	$2$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{2}+4q^{4}-8q^{8}+9q^{9}+24q^{13}+\cdots\)
100.3.b.b	$100$	$3$	100.b	4.b	$2$	$1$	$1$	$2.725$	\(\Q\)	$_{}$	\(\Q(\sqrt{-1}) \)	None	✓	$2$	$0$	\(2\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2q^{2}+4q^{4}+8q^{8}+9q^{9}-24q^{13}+\cdots\)
100.3.b.c	$100$	$3$	100.b	4.b	$2$	$2$	$2$	$2.725$	\(\Q(\sqrt{-1}) \)	$_{}$	\(\Q(\sqrt{-5}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{U}(1)[D_{2}]$	\(q+iq^{2}+2iq^{3}-4q^{4}-8q^{6}+2iq^{7}+\cdots\)
100.3.b.d	$100$	$3$	100.b	4.b	$2$	$4$	$4$	$2.725$	4.0.8405.1	$_{}$	None	None		$2$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{2}q^{2}+(-\beta _{1}-\beta _{2})q^{3}+(1-\beta _{1}+\cdots)q^{4}+\cdots\)
100.3.b.e	$100$	$3$	100.b	4.b	$2$	$4$	$4$	$2.725$	4.0.8405.1	$_{}$	None	None		$2$	$0$	\(1\)	\(0\)	\(0\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{2}q^{2}+(\beta _{1}+\beta _{2})q^{3}+(1-\beta _{1}-\beta _{2}+\cdots)q^{4}+\cdots\)
100.3.b.f	$100$	$3$	100.b	4.b	$2$	$4$	$4$	$2.725$	\(\Q(\zeta_{10})\)	$_{}$	None	None		$2$	$0$	\(2\)	\(0\)	\(0\)	\(0\)		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\zeta_{10}q^{2}+\zeta_{10}^{2}q^{3}+(-1+\zeta_{10}+\cdots)q^{4}+\cdots\)
100.3.d.a	$100$	$3$	100.d	20.d	$2$	$8$	$8$	$2.725$	8.0.\(\cdots\).3	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{4}\cdot 5^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{2}q^{2}+(\beta _{1}+\beta _{2})q^{3}+(-1+\beta _{4}+\cdots)q^{4}+\cdots\)
100.3.d.b	$100$	$3$	100.d	20.d	$2$	$8$	$8$	$2.725$	\(\Q(\zeta_{20})\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{12}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\zeta_{20}q^{2}+\zeta_{20}^{6}q^{3}+(1+\zeta_{20}^{4})q^{4}+\cdots\)
100.3.f.a	$100$	$3$	100.f	5.c	$4$	$2$	$1$	$2.725$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(-2\)	\(0\)	\(14\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(-1+i)q^{3}+(7+7i)q^{7}+7iq^{9}+\cdots\)
100.3.f.b	$100$	$3$	100.f	5.c	$4$	$4$	$2$	$2.725$	\(\Q(i, \sqrt{6})\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+3\beta _{1}q^{3}-4\beta _{3}q^{7}+18\beta _{2}q^{9}-15q^{11}+\cdots\)
100.3.h.a	$100$	$3$	100.h	100.h	$10$	$8$	$2$	$2.725$	\(\Q(\zeta_{20})\)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(-6\)	\(0\)		$2^{4}$	$\mathrm{U}(1)[D_{10}]$	\(q+\zeta_{20}q^{2}+4\zeta_{20}^{2}q^{4}+(-3+3\zeta_{20}^{2}+\cdots)q^{5}+\cdots\)
100.3.h.b	$100$	$3$	100.h	100.h	$10$	$104$	$26$	$2.725$		$_{}$	None	None		$4$	$0$	\(-5\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
100.3.j.a	$100$	$3$	100.j	100.j	$10$	$112$	$28$	$2.725$		$_{}$	None	None		$4$	$0$	\(-3\)	\(0\)	\(-10\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
100.3.k.a	$100$	$3$	100.k	25.f	$20$	$40$	$5$	$2.725$		$_{}$	None	None		$2$	$0$	\(0\)	\(-2\)	\(6\)	\(14\)			$\mathrm{SU}(2)[C_{20}]$
100.4.a.a	$100$	$4$	100.a	1.a	$1$	$1$	$1$	$5.900$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-4\)	\(0\)	\(16\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{3}+2^{4}q^{7}-11q^{9}-60q^{11}+\cdots\)
100.4.a.b	$100$	$4$	100.a	1.a	$1$	$1$	$1$	$5.900$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-1\)	\(0\)	\(-26\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-26q^{7}-26q^{9}+45q^{11}-44q^{13}+\cdots\)
100.4.a.c	$100$	$4$	100.a	1.a	$1$	$1$	$1$	$5.900$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(1\)	\(0\)	\(26\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+26q^{7}-26q^{9}+45q^{11}+44q^{13}+\cdots\)
100.4.a.d	$100$	$4$	100.a	1.a	$1$	$2$	$2$	$5.900$	\(\Q(\sqrt{19}) \)	$_{}$	None	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{3}+\beta q^{7}+7^{2}q^{9}+20q^{11}-6\beta q^{13}+\cdots\)
100.4.c.a	$100$	$4$	100.c	5.b	$2$	$2$	$2$	$5.900$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+2iq^{3}+8iq^{7}+11q^{9}-60q^{11}+\cdots\)
100.4.c.b	$100$	$4$	100.c	5.b	$2$	$2$	$2$	$5.900$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{3}-26iq^{7}+26q^{9}+45q^{11}+\cdots\)
100.4.e.a	$100$	$4$	100.e	20.e	$4$	$2$	$1$	$5.900$	\(\Q(\sqrt{-1}) \)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-4\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{4}]$	\(q+(-2-2i)q^{2}+8iq^{4}+(2^{4}-2^{4}i)q^{8}+\cdots\)
100.4.e.b	$100$	$4$	100.e	20.e	$4$	$2$	$1$	$5.900$	\(\Q(\sqrt{-1}) \)	$_{}$	\(\Q(\sqrt{-5}) \)	None		$4$	$0$	\(-4\)	\(14\)	\(0\)	\(-18\)		$1$	$\mathrm{U}(1)[D_{4}]$	\(q+(-2+2i)q^{2}+(7+7i)q^{3}-8iq^{4}+\cdots\)
100.4.e.c	$100$	$4$	100.e	20.e	$4$	$2$	$1$	$5.900$	\(\Q(\sqrt{-1}) \)	$_{}$	\(\Q(\sqrt{-5}) \)	None		$4$	$0$	\(4\)	\(-14\)	\(0\)	\(18\)		$1$	$\mathrm{U}(1)[D_{4}]$	\(q+(2-2i)q^{2}+(-7-7i)q^{3}-8iq^{4}+\cdots\)
100.4.e.d	$100$	$4$	100.e	20.e	$4$	$8$	$4$	$5.900$	8.0.2342560000.1	$_{}$	None	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{8}$	$\mathrm{SU}(2)[C_{4}]$	\(q+\beta _{5}q^{2}+(-\beta _{3}-\beta _{6})q^{3}+(-\beta _{1}-3\beta _{4}+\cdots)q^{4}+\cdots\)
100.4.e.e	$100$	$4$	100.e	20.e	$4$	$12$	$6$	$5.900$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None		$4$	$0$	\(6\)	\(0\)	\(0\)	\(0\)		$2^{15}$	$\mathrm{SU}(2)[C_{4}]$	\(q+(\beta _{3}+\beta _{5})q^{2}+\beta _{9}q^{3}+(-2\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots\)
100.4.e.f	$100$	$4$	100.e	20.e	$4$	$24$	$12$	$5.900$		$_{}$	None	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
100.4.g.a	$100$	$4$	100.g	25.d	$5$	$28$	$7$	$5.900$		$_{}$	None	None		$2$	$0$	\(0\)	\(-4\)	\(-25\)	\(16\)			$\mathrm{SU}(2)[C_{5}]$
100.4.i.a	$100$	$4$	100.i	25.e	$10$	$32$	$8$	$5.900$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(6\)	\(0\)			$\mathrm{SU}(2)[C_{10}]$
100.4.l.a	$100$	$4$	100.l	100.l	$20$	$8$	$1$	$5.900$	\(\Q(\zeta_{20})\)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(-4\)	\(0\)	\(4\)	\(0\)		$1$	$\mathrm{U}(1)[D_{20}]$	\(q+(-2+2\zeta_{20}^{2}-2\zeta_{20}^{3}-2\zeta_{20}^{4}+\cdots)q^{2}+\cdots\)
100.4.l.b	$100$	$4$	100.l	100.l	$20$	$336$	$42$	$5.900$		$_{}$	None	None		$4$	$0$	\(-4\)	\(0\)	\(-20\)	\(0\)			$\mathrm{SU}(2)[C_{20}]$
100.5.b.a	$100$	$5$	100.b	4.b	$2$	$1$	$1$	$10.337$	\(\Q\)	$_{}$	\(\Q(\sqrt{-1}) \)	None	✓	$2$	$0$	\(4\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{2}+2^{4}q^{4}+2^{6}q^{8}+3^{4}q^{9}+238q^{13}+\cdots\)
100.5.b.b	$100$	$5$	100.b	4.b	$2$	$2$	$2$	$10.337$	\(\Q(\sqrt{-1}) \)	$_{}$	\(\Q(\sqrt{-5}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{U}(1)[D_{2}]$	\(q+2iq^{2}+iq^{3}-2^{4}q^{4}-8q^{6}-41iq^{7}+\cdots\)
100.5.b.c	$100$	$5$	100.b	4.b	$2$	$8$	$8$	$10.337$	8.0.\(\cdots\).1	$_{}$	None	None		$2$	$0$	\(-6\)	\(0\)	\(0\)	\(0\)		$2^{15}\cdot 5^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-1-\beta _{1})q^{2}+\beta _{3}q^{3}+(-2+\beta _{1}+\cdots)q^{4}+\cdots\)
100.5.b.d	$100$	$5$	100.b	4.b	$2$	$8$	$8$	$10.337$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(-3\)	\(0\)	\(0\)	\(0\)		$2^{12}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{2}+\beta _{3}q^{3}+(-1+\beta _{2})q^{4}+(-6+\cdots)q^{6}+\cdots\)
100.5.b.e	$100$	$5$	100.b	4.b	$2$	$8$	$8$	$10.337$	8.0.\(\cdots\).1	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{15}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{2}q^{2}+\beta _{1}q^{3}+(6+\beta _{6})q^{4}+(-\beta _{4}+\cdots)q^{6}+\cdots\)
100.5.b.f	$100$	$5$	100.b	4.b	$2$	$8$	$8$	$10.337$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(3\)	\(0\)	\(0\)	\(0\)		$2^{12}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}-\beta _{3}q^{3}+(-1+\beta _{2})q^{4}+(-6+\cdots)q^{6}+\cdots\)
100.5.d.a	$100$	$5$	100.d	20.d	$2$	$2$	$2$	$10.337$	\(\Q(\sqrt{-1}) \)	$_{}$	\(\Q(\sqrt{-1}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{U}(1)[D_{2}]$	\(q+2iq^{2}-2^{4}q^{4}-2^{5}iq^{8}-3^{4}q^{9}+\cdots\)
100.5.d.b	$100$	$5$	100.d	20.d	$2$	$16$	$16$	$10.337$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{24}\cdot 5^{6}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+\beta _{4}q^{3}+(1+\beta _{2})q^{4}+(-6+\cdots)q^{6}+\cdots\)
100.5.d.c	$100$	$5$	100.d	20.d	$2$	$16$	$16$	$10.337$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{37}\cdot 5^{8}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{2}q^{2}+\beta _{8}q^{3}+(2-\beta _{4})q^{4}+(6+\beta _{5}+\cdots)q^{6}+\cdots\)