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Results (1-50 of 66 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
276.1.h.a	$276$	$1$	276.h	276.h	$2$	$1$	$1$	$0.138$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-69}) \)	\(\Q(\sqrt{3}) \)	✓	$4$	$0$	\(-1\)	\(1\)	\(0\)	\(0\)		$1$		\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
276.1.h.b	$276$	$1$	276.h	276.h	$2$	$1$	$1$	$0.138$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-23}) \), \(\Q(\sqrt{-69}) \)	\(\Q(\sqrt{3}) \)	✓	$4$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)		$1$		\(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
276.1.h.c	$276$	$1$	276.h	276.h	$2$	$2$	$2$	$0.138$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(-1\)	\(1\)	\(0\)	\(0\)		$1$		\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots\)
276.1.h.d	$276$	$1$	276.h	276.h	$2$	$2$	$2$	$0.138$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(1\)	\(-1\)	\(0\)	\(0\)		$1$		\(q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{3}-\zeta_{6}q^{4}-q^{6}-q^{8}+\cdots\)
276.2.a.a	$276$	$2$	276.a	1.a	$1$	$2$	$2$	$2.204$	\(\Q(\sqrt{10}) \)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-2\)	\(0\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+\beta q^{5}+(2-\beta )q^{7}+q^{9}+4q^{13}+\cdots\)
276.2.a.b	$276$	$2$	276.a	1.a	$1$	$2$	$2$	$2.204$	\(\Q(\sqrt{2}) \)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(2\)	\(4\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(2+\beta )q^{5}+\beta q^{7}+q^{9}-4\beta q^{11}+\cdots\)
276.2.c.a	$276$	$2$	276.c	12.b	$2$	$22$	$22$	$2.204$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
276.2.c.b	$276$	$2$	276.c	12.b	$2$	$22$	$22$	$2.204$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
276.2.e.a	$276$	$2$	276.e	92.b	$2$	$24$	$24$	$2.204$		$_{}$	None	None		$4$	$0$	\(4\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
276.2.g.a	$276$	$2$	276.g	69.c	$2$	$8$	$8$	$2.204$	8.0.\(\cdots\).7	$_{}$	None	None		$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{4}q^{3}+\beta _{5}q^{5}-\beta _{7}q^{7}+(-1-\beta _{3}+\cdots)q^{9}+\cdots\)
276.2.i.a	$276$	$2$	276.i	23.c	$11$	$20$	$2$	$2.204$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(-2\)	\(-4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{11}]$	\(q+\beta _{17}q^{3}+(\beta _{3}+\beta _{4}-\beta _{9}-\beta _{10}+\beta _{15}+\cdots)q^{5}+\cdots\)
276.2.i.b	$276$	$2$	276.i	23.c	$11$	$20$	$2$	$2.204$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(2\)	\(0\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{11}]$	\(q-\beta _{5}q^{3}+(1-\beta _{3}+\beta _{5}+\beta _{7}+\beta _{10}+\cdots)q^{5}+\cdots\)
276.2.k.a	$276$	$2$	276.k	69.g	$22$	$80$	$8$	$2.204$		$_{}$	None	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
276.2.m.a	$276$	$2$	276.m	92.h	$22$	$240$	$24$	$2.204$		$_{}$	None	None		$4$	$0$	\(-4\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
276.2.o.a	$276$	$2$	276.o	276.o	$22$	$440$	$44$	$2.204$		$_{}$	None	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
276.3.b.a	$276$	$3$	276.b	23.b	$2$	$8$	$8$	$7.520$	\(\mathbb{Q}[x]/(x^{8} + \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{3}-\beta _{2}q^{5}+(\beta _{2}+\beta _{7})q^{7}+3q^{9}+\cdots\)
276.3.d.a	$276$	$3$	276.d	3.b	$2$	$14$	$14$	$7.520$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(4\)	\(0\)	\(-4\)		$2^{10}\cdot 3$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{3}-\beta _{5}q^{5}-\beta _{2}q^{7}+(1+\beta _{3}+\cdots)q^{9}+\cdots\)
276.3.f.a	$276$	$3$	276.f	4.b	$2$	$4$	$4$	$7.520$	\(\Q(\sqrt{-3}, \sqrt{-23})\)	$_{}$	None	None		$2$	$0$	\(-4\)	\(0\)	\(4\)	\(0\)		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-1-\beta _{1})q^{2}+\beta _{1}q^{3}+(-2+2\beta _{1}+\cdots)q^{4}+\cdots\)
276.3.f.b	$276$	$3$	276.f	4.b	$2$	$40$	$40$	$7.520$		$_{}$	None	None		$2$	$0$	\(4\)	\(0\)	\(4\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
276.3.h.a	$276$	$3$	276.h	276.h	$2$	$2$	$2$	$7.520$	\(\Q(\sqrt{6}) \)	$_{}$	\(\Q(\sqrt{-69}) \)	None	✓	$4$	$0$	\(-4\)	\(-6\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{2}-3q^{3}+4q^{4}+3\beta q^{5}+6q^{6}+\cdots\)
276.3.h.b	$276$	$3$	276.h	276.h	$2$	$2$	$2$	$7.520$	\(\Q(\sqrt{46}) \)	$_{}$	\(\Q(\sqrt{-69}) \)	None	✓	$4$	$0$	\(-4\)	\(6\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-2q^{2}+3q^{3}+4q^{4}+\beta q^{5}-6q^{6}+\cdots\)
276.3.h.c	$276$	$3$	276.h	276.h	$2$	$2$	$2$	$7.520$	\(\Q(\sqrt{46}) \)	$_{}$	\(\Q(\sqrt{-69}) \)	None	✓	$4$	$0$	\(4\)	\(-6\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2q^{2}-3q^{3}+4q^{4}+\beta q^{5}-6q^{6}+\cdots\)
276.3.h.d	$276$	$3$	276.h	276.h	$2$	$2$	$2$	$7.520$	\(\Q(\sqrt{6}) \)	$_{}$	\(\Q(\sqrt{-69}) \)	None	✓	$4$	$0$	\(4\)	\(6\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2q^{2}+3q^{3}+4q^{4}+3\beta q^{5}+6q^{6}+\cdots\)
276.3.h.e	$276$	$3$	276.h	276.h	$2$	$6$	$6$	$7.520$	6.0.8869743.1	$_{}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+(\beta _{2}+\beta _{5})q^{2}+(\beta _{2}+2\beta _{5})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots\)
276.3.h.f	$276$	$3$	276.h	276.h	$2$	$6$	$6$	$7.520$	6.0.8869743.1	$_{}$	\(\Q(\sqrt{-23}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+(-\beta _{1}+\beta _{4})q^{2}+(-\beta _{2}-2\beta _{5})q^{3}+\cdots\)
276.3.h.g	$276$	$3$	276.h	276.h	$2$	$72$	$72$	$7.520$		$_{}$	None	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
276.3.j.a	$276$	$3$	276.j	276.j	$22$	$920$	$92$	$7.520$		$_{}$	None	None		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
276.3.l.a	$276$	$3$	276.l	92.g	$22$	$480$	$48$	$7.520$		$_{}$	None	None		$4$	$0$	\(4\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
276.3.n.a	$276$	$3$	276.n	69.h	$22$	$160$	$16$	$7.520$		$_{}$	None	None		$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
276.3.p.a	$276$	$3$	276.p	23.d	$22$	$80$	$8$	$7.520$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
276.4.a.a	$276$	$4$	276.a	1.a	$1$	$1$	$1$	$16.285$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(3\)	\(2\)	\(-22\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+2q^{5}-22q^{7}+9q^{9}-14q^{11}+\cdots\)
276.4.a.b	$276$	$4$	276.a	1.a	$1$	$1$	$1$	$16.285$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(3\)	\(8\)	\(34\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+3q^{3}+8q^{5}+34q^{7}+9q^{9}+6^{2}q^{11}+\cdots\)
276.4.a.c	$276$	$4$	276.a	1.a	$1$	$2$	$2$	$16.285$	\(\Q(\sqrt{13}) \)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-6\)	\(-2\)	\(4\)	$-$	$2$	$\mathrm{SU}(2)$	\(q-3q^{3}+(-1-\beta )q^{5}+2q^{7}+9q^{9}+\cdots\)
276.4.a.d	$276$	$4$	276.a	1.a	$1$	$2$	$2$	$16.285$	\(\Q(\sqrt{13}) \)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(6\)	\(14\)	\(-10\)	$+$	$2$	$\mathrm{SU}(2)$	\(q+3q^{3}+(7+3\beta )q^{5}+(-5+\beta )q^{7}+\cdots\)
276.4.a.e	$276$	$4$	276.a	1.a	$1$	$4$	$4$	$16.285$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-12\)	\(-2\)	\(-14\)	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q-3q^{3}+\beta _{3}q^{5}+(-3+\beta _{1})q^{7}+9q^{9}+\cdots\)
276.4.e.a	$276$	$4$	276.e	92.b	$2$	$72$	$72$	$16.285$		$_{}$	None	None		$4$	$0$	\(-4\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
276.4.g.a	$276$	$4$	276.g	69.c	$2$	$24$	$24$	$16.285$		$_{}$	None	None		$4$	$0$	\(0\)	\(-4\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
276.5.b.a	$276$	$5$	276.b	23.b	$2$	$16$	$16$	$28.530$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{9}\cdot 3^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{2}q^{3}+\beta _{1}q^{5}+\beta _{7}q^{7}+3^{3}q^{9}+\cdots\)
276.5.d.a	$276$	$5$	276.d	3.b	$2$	$30$	$30$	$28.530$		$_{}$	None	None		$2$	$0$	\(0\)	\(-8\)	\(0\)	\(188\)			$\mathrm{SU}(2)[C_{2}]$
276.5.f.a	$276$	$5$	276.f	4.b	$2$	$88$	$88$	$28.530$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-48\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
276.6.a.a	$276$	$6$	276.a	1.a	$1$	$4$	$4$	$44.266$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-36\)	\(22\)	\(-154\)	$+$	$2^{4}$	$\mathrm{SU}(2)$	\(q-9q^{3}+(6+\beta _{1}+\beta _{2}-\beta _{3})q^{5}+(-39+\cdots)q^{7}+\cdots\)
276.6.a.b	$276$	$6$	276.a	1.a	$1$	$4$	$4$	$44.266$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(36\)	\(-50\)	\(-62\)	$+$	$2^{5}$	$\mathrm{SU}(2)$	\(q+9q^{3}+(-13-\beta _{1}-\beta _{2})q^{5}+(-15+\cdots)q^{7}+\cdots\)
276.6.a.c	$276$	$6$	276.a	1.a	$1$	$6$	$6$	$44.266$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-54\)	\(22\)	\(134\)	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q-9q^{3}+(4-\beta _{1})q^{5}+(22+\beta _{4})q^{7}+\cdots\)
276.6.a.d	$276$	$6$	276.a	1.a	$1$	$6$	$6$	$44.266$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(54\)	\(50\)	\(-154\)	$-$	$2^{6}$	$\mathrm{SU}(2)$	\(q+9q^{3}+(8-\beta _{2})q^{5}+(-26-\beta _{4})q^{7}+\cdots\)
276.6.g.a	$276$	$6$	276.g	69.c	$2$	$40$	$40$	$44.266$		$_{}$	None	None		$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
276.7.b.a	$276$	$7$	276.b	23.b	$2$	$24$	$24$	$63.495$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
276.7.d.a	$276$	$7$	276.d	3.b	$2$	$44$	$44$	$63.495$		$_{}$	None	None		$2$	$0$	\(0\)	\(-20\)	\(0\)	\(-968\)			$\mathrm{SU}(2)[C_{2}]$
276.8.a.a	$276$	$8$	276.a	1.a	$1$	$5$	$5$	$86.218$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-135\)	\(252\)	\(414\)	$-$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q-3^{3}q^{3}+(50+\beta _{3})q^{5}+(3^{4}+2\beta _{1}+\cdots)q^{7}+\cdots\)
276.8.a.b	$276$	$8$	276.a	1.a	$1$	$5$	$5$	$86.218$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(135\)	\(-392\)	\(-986\)	$-$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q+3^{3}q^{3}+(-78-\beta _{3})q^{5}+(-198+\cdots)q^{7}+\cdots\)
276.8.a.c	$276$	$8$	276.a	1.a	$1$	$7$	$7$	$86.218$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-189\)	\(252\)	\(958\)	$+$	$2^{14}\cdot 3$	$\mathrm{SU}(2)$	\(q-3^{3}q^{3}+(6^{2}+\beta _{1})q^{5}+(137-\beta _{1}+\cdots)q^{7}+\cdots\)