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Results (14 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1805.1.o.a	$1805$	$1$	1805.o	95.o	$18$	$6$	$1$	$0.901$	\(\Q(\zeta_{18})\)	$D_{2}$	\(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-95}) \)	\(\Q(\sqrt{5}) \)					95.1.d.a	$24$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-\zeta_{18}^{2}q^{4}-\zeta_{18}^{7}q^{5}-\zeta_{18}^{8}q^{9}+\cdots\)
1805.1.o.b	$1805$	$1$	1805.o	95.o	$18$	$12$	$2$	$0.901$	12.0.\(\cdots\).2	$D_{4}$	\(\Q(\sqrt{-95}) \)	None			✓		95.1.d.b	$24$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\beta _{5}+\beta _{11})q^{2}+\beta _{5}q^{3}+(-\beta _{4}-\beta _{10}+\cdots)q^{4}+\cdots\)
1805.1.r.a	$1805$	$1$	1805.r	95.q	$36$	$12$	$1$	$0.901$	\(\Q(\zeta_{36})\)	$D_{4}$	\(\Q(\sqrt{-19}) \)	None		✓	✓	✓	1805.1.f.a	$24$	$0$	\(0\)	\(0\)	\(0\)	\(-6\)	$1$		\(q-\zeta_{36}^{7}q^{4}+\zeta_{36}^{2}q^{5}+(\zeta_{36}^{3}+\zeta_{36}^{12}+\cdots)q^{7}+\cdots\)
2523.1.h.c	$2523$	$1$	2523.h	87.h	$14$	$24$	$4$	$1.259$	24.0.\(\cdots\).1	$D_{5}$	\(\Q(\sqrt{-3}) \)	None		✓	✓		2523.1.b.a	$24$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q+\beta _{3}q^{3}-\beta _{13}q^{4}+(-\beta _{16}-\beta _{17}+\cdots)q^{7}+\cdots\)
2523.1.j.b	$2523$	$1$	2523.j	87.j	$14$	$12$	$2$	$1.259$	\(\Q(\zeta_{28})\)	$D_{3}$	\(\Q(\sqrt{-87}) \)	None					87.1.d.a	$24$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q+\zeta_{28}^{5}q^{2}+\zeta_{28}^{11}q^{3}-\zeta_{28}^{2}q^{6}+\cdots\)
2527.1.y.a	$2527$	$1$	2527.y	133.y	$18$	$6$	$1$	$1.261$	\(\Q(\zeta_{18})\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-19}) \)	\(\Q(\sqrt{133}) \)		✓			2527.1.d.a	$24$	$0$	\(0\)	\(0\)	\(0\)	\(3\)	$1$		\(q+\zeta_{18}^{7}q^{4}+\zeta_{18}^{3}q^{7}-\zeta_{18}q^{9}-\zeta_{18}^{6}q^{11}+\cdots\)
2527.1.y.f	$2527$	$1$	2527.y	133.y	$18$	$24$	$4$	$1.261$	24.0.\(\cdots\).3	$D_{10}$	\(\Q(\sqrt{-7}) \)	None		✓	✓		2527.1.d.f	$24$	$0$	\(0\)	\(0\)	\(0\)	\(12\)	$1$		\(q+(-\beta _{11}+\beta _{23})q^{2}+(\beta _{7}-\beta _{17}+2\beta _{18}+\cdots)q^{4}+\cdots\)
3249.1.ba.c	$3249$	$1$	3249.ba	19.f	$18$	$6$	$1$	$1.621$	\(\Q(\zeta_{18})\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-19}) \)	\(\Q(\sqrt{57}) \)					171.1.c.a	$24$	$0$	\(0\)	\(0\)	\(0\)	\(6\)	$1$		\(q-\zeta_{18}^{7}q^{4}+\zeta_{18}^{3}q^{7}-\zeta_{18}^{5}q^{16}+\cdots\)
3249.1.bb.a	$3249$	$1$	3249.bb	57.l	$18$	$12$	$2$	$1.621$	12.0.\(\cdots\).1	$D_{4}$	\(\Q(\sqrt{-19}) \)	None		✓	✓	✓	3249.1.b.a	$24$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(\beta _{2}-\beta _{8})q^{4}+(\beta _{1}-\beta _{7})q^{5}-\beta _{3}q^{11}+\cdots\)
3364.1.j.f	$3364$	$1$	3364.j	116.j	$14$	$12$	$2$	$1.679$	\(\Q(\zeta_{28})\)	$D_{3}$	\(\Q(\sqrt{-29}) \)	None			✓		116.1.d.a	$24$	$0$	\(0\)	\(0\)	\(-2\)	\(0\)	$1$		\(q+\zeta_{28}^{5}q^{2}+\zeta_{28}^{11}q^{3}+\zeta_{28}^{10}q^{4}+\cdots\)
3971.1.q.a	$3971$	$1$	3971.q	209.q	$18$	$6$	$1$	$1.982$	\(\Q(\zeta_{18})\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-19}) \)	\(\Q(\sqrt{209}) \)		✓			3971.1.c.a	$24$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{18}^{2}q^{4}+\zeta_{18}^{7}q^{5}-\zeta_{18}^{8}q^{9}+\cdots\)
3971.1.q.f	$3971$	$1$	3971.q	209.q	$18$	$24$	$4$	$1.982$	24.0.\(\cdots\).3	$D_{10}$	\(\Q(\sqrt{-11}) \)	None		✓	✓		3971.1.c.f	$24$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+(-\beta _{11}+\beta _{23})q^{3}-\beta _{8}q^{4}-\beta _{16}q^{5}+\cdots\)
3971.1.ba.a	$3971$	$1$	3971.ba	209.v	$90$	$24$	$1$	$1.982$	\(\Q(\zeta_{45})\)	$D_{10}$	\(\Q(\sqrt{-19}) \)	None		✓	✓	✓	3971.1.l.a	$24$	$0$	\(0\)	\(0\)	\(0\)	\(15\)	$1$		\(q+\zeta_{90}^{22}q^{4}+(-\zeta_{90}^{32}+\zeta_{90}^{41}+\cdots)q^{5}+\cdots\)
3971.1.bc.a	$3971$	$1$	3971.bc	209.x	$90$	$24$	$1$	$1.982$	\(\Q(\zeta_{45})\)	$D_{5}$	\(\Q(\sqrt{-19}) \)	None			✓	✓	209.1.m.a	$24$	$0$	\(0\)	\(0\)	\(0\)	\(-9\)	$1$		\(q+\zeta_{90}^{28}q^{4}+(\zeta_{90}^{8}+\zeta_{90}^{44})q^{5}+\cdots\)