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Results (29 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
111.1.d.a	$111$	$1$	111.d	111.d	$2$	$1$	$1$	$0.055$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-111}) \)	\(\Q(\sqrt{37}) \)	✓	$4$	$0$	\(0\)	\(1\)	\(0\)	\(-2\)	$1$		\(q+q^{3}-q^{4}-2q^{7}+q^{9}-q^{12}+q^{16}+\cdots\)
259.1.b.a	$259$	$1$	259.b	259.b	$2$	$1$	$1$	$0.129$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-259}) \)	\(\Q(\sqrt{37}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+q^{4}-q^{7}+q^{9}-2q^{11}+q^{16}-q^{25}+\cdots\)
407.1.d.a	$407$	$1$	407.d	407.d	$2$	$1$	$1$	$0.203$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-407}) \)	\(\Q(\sqrt{37}) \)	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-2q^{3}-q^{4}+3q^{9}+q^{11}+2q^{12}+\cdots\)
444.1.h.a	$444$	$1$	444.h	111.d	$2$	$2$	$2$	$0.222$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{37}) \)		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(2\)	$1$		\(q+\zeta_{6}^{2}q^{3}+q^{7}-\zeta_{6}q^{9}+(\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{11}+\cdots\)
592.1.b.a	$592$	$1$	592.b	148.b	$2$	$1$	$1$	$0.295$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-37}) \)	\(\Q(\sqrt{37}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{9}+q^{25}-q^{37}-2q^{41}+q^{49}+\cdots\)
592.1.b.b	$592$	$1$	592.b	148.b	$2$	$2$	$2$	$0.295$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{37}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$		\(q+(\zeta_{6}+\zeta_{6}^{2})q^{3}+(\zeta_{6}+\zeta_{6}^{2})q^{7}+(-1+\cdots)q^{9}+\cdots\)
1036.1.e.d	$1036$	$1$	1036.e	259.b	$2$	$2$	$2$	$0.517$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{37}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+(\zeta_{6}+\zeta_{6}^{2})q^{3}+\zeta_{6}q^{7}+(-1-\zeta_{6}+\cdots)q^{9}+\cdots\)
1628.1.f.a	$1628$	$1$	1628.f	407.d	$2$	$2$	$2$	$0.812$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{37}) \)		$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)	$1$		\(q+q^{3}+(\zeta_{6}+\zeta_{6}^{2})q^{7}+\zeta_{6}^{2}q^{11}+(\zeta_{6}+\cdots)q^{21}+\cdots\)
1739.1.c.a	$1739$	$1$	1739.c	1739.c	$2$	$1$	$1$	$0.868$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-47}) \), \(\Q(\sqrt{-1739}) \)	\(\Q(\sqrt{37}) \)	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(2\)	$1$		\(q-2q^{3}+q^{4}+2q^{7}+3q^{9}-2q^{12}+\cdots\)
1776.1.n.a	$1776$	$1$	1776.n	111.d	$2$	$1$	$1$	$0.886$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-111}) \)	\(\Q(\sqrt{37}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(2\)	$1$		\(q-q^{3}+2q^{7}+q^{9}-2q^{21}-q^{25}+\cdots\)
1776.1.n.b	$1776$	$1$	1776.n	111.d	$2$	$2$	$2$	$0.886$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{37}) \)		$4$	$0$	\(0\)	\(1\)	\(0\)	\(-2\)	$1$		\(q-\zeta_{6}^{2}q^{3}-q^{7}-\zeta_{6}q^{9}+(-\zeta_{6}-\zeta_{6}^{2}+\cdots)q^{11}+\cdots\)
1813.1.t.a	$1813$	$1$	1813.t	259.t	$6$	$2$	$1$	$0.905$	\(\Q(\sqrt{-3}) \)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-259}) \)	\(\Q(\sqrt{37}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{11}-\zeta_{6}q^{16}+\cdots\)
1813.1.bk.a	$1813$	$1$	1813.bk	1813.ak	$14$	$6$	$1$	$0.905$	\(\Q(\zeta_{14})\)	$D_{14}$	None	\(\Q(\sqrt{37}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$1$		\(q+(\zeta_{14}-\zeta_{14}^{3})q^{3}+\zeta_{14}^{6}q^{4}-\zeta_{14}^{6}q^{7}+\cdots\)
2331.1.e.b	$2331$	$1$	2331.e	259.b	$2$	$1$	$1$	$1.163$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-7}) \), \(\Q(\sqrt{-259}) \)	\(\Q(\sqrt{37}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)	$1$		\(q+q^{4}-q^{7}+2q^{11}+q^{16}-q^{25}+\cdots\)
2331.1.bd.a	$2331$	$1$	2331.bd	2331.ad	$6$	$2$	$1$	$1.163$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{37}) \)		$4$	$0$	\(0\)	\(1\)	\(0\)	\(1\)	$1$		\(q-\zeta_{6}^{2}q^{3}+q^{4}+\zeta_{6}q^{7}-\zeta_{6}q^{9}+\zeta_{6}^{2}q^{11}+\cdots\)
2331.1.cn.a	$2331$	$1$	2331.cn	2331.bn	$6$	$2$	$1$	$1.163$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{37}) \)		$4$	$0$	\(0\)	\(2\)	\(0\)	\(1\)	$1$		\(q+q^{3}+\zeta_{6}q^{4}+\zeta_{6}q^{7}+q^{9}+(-\zeta_{6}+\cdots)q^{11}+\cdots\)
2331.1.dz.a	$2331$	$1$	2331.dz	2331.cz	$6$	$2$	$1$	$1.163$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{37}) \)		$4$	$0$	\(0\)	\(2\)	\(0\)	\(1\)	$1$		\(q+q^{3}+\zeta_{6}^{2}q^{4}-\zeta_{6}^{2}q^{7}+q^{9}+q^{11}+\cdots\)
2331.1.ed.a	$2331$	$1$	2331.ed	2331.dd	$6$	$2$	$1$	$1.163$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{37}) \)		$4$	$0$	\(0\)	\(-1\)	\(0\)	\(1\)	$1$		\(q-\zeta_{6}q^{3}-q^{4}-\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{9}+\cdots\)
2368.1.b.a	$2368$	$1$	2368.b	148.b	$2$	$1$	$1$	$1.182$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-37}) \)	\(\Q(\sqrt{37}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q+q^{9}+q^{25}+q^{37}-2q^{41}+q^{49}+\cdots\)
2368.1.b.b	$2368$	$1$	2368.b	148.b	$2$	$2$	$2$	$1.182$	\(\Q(\sqrt{-3}) \)	$D_{6}$	None	\(\Q(\sqrt{37}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$2$		\(q+(-\zeta_{6}-\zeta_{6}^{2})q^{3}+(\zeta_{6}+\zeta_{6}^{2})q^{7}+\cdots\)
2479.1.d.b	$2479$	$1$	2479.d	2479.d	$2$	$1$	$1$	$1.237$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-67}) \), \(\Q(\sqrt{-2479}) \)	\(\Q(\sqrt{37}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{4}+q^{9}+q^{16}-q^{25}-q^{36}+q^{37}+\cdots\)
2627.1.b.a	$2627$	$1$	2627.b	2627.b	$2$	$1$	$1$	$1.311$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-71}) \), \(\Q(\sqrt{-2627}) \)	\(\Q(\sqrt{37}) \)	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-2q^{3}+q^{4}+3q^{9}-2q^{12}+q^{16}+\cdots\)
2627.1.p.a	$2627$	$1$	2627.p	2627.p	$10$	$4$	$1$	$1.311$	\(\Q(\zeta_{10})\)	$D_{10}$	None	\(\Q(\sqrt{37}) \)		$4$	$0$	\(0\)	\(-3\)	\(0\)	\(0\)	$1$		\(q+(-1-\zeta_{10}^{2})q^{3}+\zeta_{10}^{2}q^{4}+(\zeta_{10}^{3}+\cdots)q^{7}+\cdots\)
2775.1.b.a	$2775$	$1$	2775.b	555.b	$2$	$2$	$2$	$1.385$	\(\Q(\sqrt{-1}) \)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-111}) \)	\(\Q(\sqrt{37}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-iq^{3}+q^{4}-iq^{7}-q^{9}-iq^{12}+\cdots\)
2775.1.h.a	$2775$	$1$	2775.h	111.d	$2$	$1$	$1$	$1.385$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-111}) \)	\(\Q(\sqrt{37}) \)	✓	$4$	$0$	\(0\)	\(-1\)	\(0\)	\(2\)	$1$		\(q-q^{3}-q^{4}+2q^{7}+q^{9}+q^{12}+q^{16}+\cdots\)
2997.1.n.b	$2997$	$1$	2997.n	333.n	$6$	$2$	$1$	$1.496$	\(\Q(\sqrt{-3}) \)	$D_{2}$	\(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-111}) \)	\(\Q(\sqrt{37}) \)		$8$	$0$	\(0\)	\(0\)	\(0\)	\(2\)	$1$		\(q+\zeta_{6}q^{4}-\zeta_{6}^{2}q^{7}+\zeta_{6}^{2}q^{16}-\zeta_{6}^{2}q^{25}+\cdots\)
3071.1.d.a	$3071$	$1$	3071.d	3071.d	$2$	$1$	$1$	$1.533$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-83}) \), \(\Q(\sqrt{-3071}) \)	\(\Q(\sqrt{37}) \)	✓	$4$	$0$	\(0\)	\(2\)	\(0\)	\(2\)	$1$		\(q+2q^{3}-q^{4}+2q^{7}+3q^{9}-2q^{11}+\cdots\)
3663.1.g.a	$3663$	$1$	3663.g	407.d	$2$	$1$	$1$	$1.828$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-407}) \)	\(\Q(\sqrt{37}) \)	✓	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)	$1$		\(q-q^{4}-q^{11}+q^{16}+q^{25}+q^{37}+\cdots\)
3959.1.d.a	$3959$	$1$	3959.d	3959.d	$2$	$1$	$1$	$1.976$	\(\Q\)	$D_{2}$	\(\Q(\sqrt{-107}) \), \(\Q(\sqrt{-3959}) \)	\(\Q(\sqrt{37}) \)	✓	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)	$1$		\(q-2q^{3}-q^{4}+3q^{9}+2q^{11}+2q^{12}+\cdots\)