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Results (18 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
227.1.b.a	$227$	$1$	227.b	227.b	$2$	$2$	$2$	$0.113$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-227}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(0\)	\(-1\)	$1$		\(q+(-1+\beta )q^{3}+q^{4}-\beta q^{7}+(1-\beta )q^{9}+\cdots\)
908.1.d.a	$908$	$1$	908.d	227.b	$2$	$1$	$1$	$0.453$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-227}) \)	None	✓	$2$	$0$	\(0\)	\(2\)	\(0\)	\(-1\)	$1$		\(q+2q^{3}-q^{7}+3q^{9}-q^{11}-q^{19}+\cdots\)
908.1.d.b	$908$	$1$	908.d	227.b	$2$	$4$	$4$	$0.453$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-227}) \)	None	✓	$2$	$0$	\(0\)	\(-2\)	\(0\)	\(1\)	$1$		\(q+\beta _{3}q^{3}+\beta _{1}q^{7}-\beta _{3}q^{9}+(1-\beta _{1}+\cdots)q^{11}+\cdots\)
1589.1.g.a	$1589$	$1$	1589.g	1589.g	$6$	$2$	$1$	$0.793$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-227}) \)	None		$4$	$0$	\(0\)	\(1\)	\(0\)	\(-1\)	$1$		\(q-\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{7}-\zeta_{6}^{2}q^{11}+\cdots\)
1589.1.g.b	$1589$	$1$	1589.g	1589.g	$6$	$8$	$4$	$0.793$	\(\Q(\zeta_{15})\)	$D_{15}$	\(\Q(\sqrt{-227}) \)	None		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(1\)	$1$		\(q+(\zeta_{30}^{4}+\zeta_{30}^{6})q^{3}-\zeta_{30}^{5}q^{4}+\zeta_{30}^{8}q^{7}+\cdots\)
2043.1.c.a	$2043$	$1$	2043.c	227.b	$2$	$2$	$2$	$1.020$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-227}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+q^{4}+(-1+\beta )q^{7}+(1-\beta )q^{11}+q^{16}+\cdots\)
2043.1.g.a	$2043$	$1$	2043.g	2043.g	$6$	$2$	$1$	$1.020$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-227}) \)	None		$4$	$0$	\(0\)	\(2\)	\(0\)	\(-2\)	$1$		\(q+q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{7}+q^{9}-\zeta_{6}q^{11}+\cdots\)
2043.1.g.b	$2043$	$1$	2043.g	2043.g	$6$	$8$	$4$	$1.020$	\(\Q(\zeta_{15})\)	$D_{15}$	\(\Q(\sqrt{-227}) \)	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(2\)	$1$		\(q+\zeta_{30}^{12}q^{3}-\zeta_{30}^{5}q^{4}+(-\zeta_{30}+\zeta_{30}^{4}+\cdots)q^{7}+\cdots\)
2497.1.h.a	$2497$	$1$	2497.h	2497.h	$10$	$20$	$5$	$1.246$	\(\Q(\zeta_{50})\)	$D_{25}$	\(\Q(\sqrt{-227}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\zeta_{50}^{16}-\zeta_{50}^{19})q^{3}+\zeta_{50}^{20}q^{4}+\cdots\)
3632.1.g.a	$3632$	$1$	3632.g	227.b	$2$	$1$	$1$	$1.813$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-227}) \)	None	✓	$2$	$0$	\(0\)	\(-2\)	\(0\)	\(1\)	$1$		\(q-2q^{3}+q^{7}+3q^{9}+q^{11}+q^{19}+\cdots\)
3632.1.g.c	$3632$	$1$	3632.g	227.b	$2$	$2$	$2$	$1.813$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-227}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(0\)	\(1\)	$1$		\(q+\beta q^{3}+(1-\beta )q^{7}+\beta q^{9}+(1-\beta )q^{11}+\cdots\)
3632.1.g.d	$3632$	$1$	3632.g	227.b	$2$	$4$	$4$	$1.813$	\(\Q(\zeta_{15})^+\)	$D_{15}$	\(\Q(\sqrt{-227}) \)	None	✓	$2$	$0$	\(0\)	\(2\)	\(0\)	\(-1\)	$1$		\(q-\beta _{3}q^{3}-\beta _{1}q^{7}-\beta _{3}q^{9}+(-1+\beta _{1}+\cdots)q^{11}+\cdots\)
681.2.d.b	$681$	$2$	681.d	681.d	$2$	$10$	$10$	$5.438$	10.0.\(\cdots\).1	$_{}$	\(\Q(\sqrt{-227}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2\cdot 3^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{1}q^{3}-2q^{4}-\beta _{3}q^{7}+\beta _{2}q^{9}+(-\beta _{2}+\cdots)q^{11}+\cdots\)
227.3.b.a	$227$	$3$	227.b	227.b	$2$	$5$	$5$	$6.185$	5.5.161028125.1	$_{}$	\(\Q(\sqrt{-227}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{3}+4q^{4}+(-3\beta _{1}-\beta _{4})q^{7}+\cdots\)
2724.2.h.a	$2724$	$2$	2724.h	681.d	$2$	$20$	$20$	$21.751$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	$_{}$	\(\Q(\sqrt{-227}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{6}\cdot 3^{6}$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{5}q^{3}-\beta _{12}q^{7}-\beta _{7}q^{9}+\beta _{10}q^{11}+\cdots\)
227.5.b.a	$227$	$5$	227.b	227.b	$2$	$5$	$5$	$23.465$	5.5.161028125.1	$_{}$	\(\Q(\sqrt{-227}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$	$\mathrm{U}(1)[D_{2}]$	\(q+(\beta _{1}+2\beta _{4})q^{3}+2^{4}q^{4}+(9\beta _{2}+19\beta _{3}+\cdots)q^{7}+\cdots\)
908.3.d.a	$908$	$3$	908.d	227.b	$2$	$10$	$10$	$24.741$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	$_{}$	\(\Q(\sqrt{-227}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{6}\cdot 3$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{6}q^{3}+(-\beta _{2}-\beta _{3}-\beta _{5}-\beta _{7})q^{7}+\cdots\)
908.5.d.a	$908$	$5$	908.d	227.b	$2$	$10$	$10$	$93.860$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	$_{}$	\(\Q(\sqrt{-227}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2^{8}\cdot 3$	$\mathrm{U}(1)[D_{2}]$	\(q+(\beta _{1}+\beta _{2}+\beta _{7})q^{3}+(-\beta _{1}-\beta _{2}+6\beta _{3}+\cdots)q^{7}+\cdots\)